
Time bar (total: 13.8s)
| 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 20 to 14 computations (30% saved)
ival-sin: 47.0ms (35.1% of total)ival-pow: 37.0ms (27.7% of total)ival-mult: 22.0ms (16.5% of total)ival-sqrt: 12.0ms (9% of total)ival-add: 8.0ms (6% of total)ival-div: 6.0ms (4.5% of total)const: 2.0ms (1.5% of total)backward-pass: 1.0ms (0.7% of total)| 1.4s | 8256× | 0 | valid |
ival-sin: 585.0ms (54.7% of total)ival-pow: 214.0ms (20% of total)ival-add: 64.0ms (6% of total)ival-mult: 64.0ms (6% of total)ival-sqrt: 64.0ms (6% of total)ival-div: 61.0ms (5.7% of total)const: 14.0ms (1.3% of total)backward-pass: 3.0ms (0.3% of total)| 2× | egg-herbie |
| 2204× | fnmadd-define |
| 1936× | fma-define |
| 1234× | sum3-define |
| 1150× | fmsub-define |
| 1132× | fnmsub-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 166 |
| 1 | 104 | 113 |
| 2 | 232 | 113 |
| 3 | 420 | 113 |
| 4 | 1025 | 113 |
| 5 | 2827 | 113 |
| 6 | 4704 | 113 |
| 7 | 6184 | 113 |
| 8 | 7067 | 113 |
| 9 | 7216 | 113 |
| 10 | 7327 | 113 |
| 11 | 7359 | 113 |
| 12 | 7359 | 113 |
| 0 | 13 | 16 |
| 1 | 19 | 11 |
| 2 | 27 | 11 |
| 3 | 28 | 11 |
| 0 | 28 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
| Outputs |
|---|
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| Inputs |
|---|
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
(* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th)) |
(* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th)) |
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th))) |
(neg (* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th))) |
(neg (* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th))) |
(neg (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th)))) |
(* (/ (sin kx) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th)) |
(* (/ (sin ky) (sqrt (+ (pow (sin th) 2) (pow (sin ky) 2)))) (sin kx)) |
(* (/ (sin th) (sqrt (+ (pow (sin kx) 2) (pow (sin th) 2)))) (sin ky)) |
| Outputs |
|---|
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) |
(* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th)) |
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) |
(* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th)) |
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (neg (sin th))) |
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th))) |
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (neg (sin th))) |
(neg (* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th))) |
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (neg (sin th))) |
(neg (* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th))) |
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) |
(neg (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th)))) |
(* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) |
(* (/ (sin kx) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th)) |
(/ (* (sin kx) (sin th)) (hypot (sin ky) (sin kx))) |
(* (/ (sin ky) (sqrt (+ (pow (sin th) 2) (pow (sin ky) 2)))) (sin kx)) |
(/ (* (sin ky) (sin kx)) (hypot (sin ky) (sin th))) |
(* (/ (sin th) (sqrt (+ (pow (sin kx) 2) (pow (sin th) 2)))) (sin ky)) |
(/ (* (sin ky) (sin th)) (hypot (sin kx) (sin th))) |
(abs kx)
(negabs ky)
(negabs th)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 16 | 0 | - | 1 | (1.0057846329568838e-167 1.4853309231627523e-158 1.707687571012698e-283) | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | kx |
| 0 | 0 | - | 0 | - | ky |
| 0 | 0 | - | 0 | - | (sin.f64 ky) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | th |
| 0 | 44 | (7.274002874724676e-79 6.690394623577958e+162 2.4106331094977344e-95) | 0 | - | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (sin.f64 th) |
| 0 | 0 | - | 0 | - | (sin.f64 kx) |
| 0 | 0 | - | 0 | - | (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
| 0 | 70 | (3.616839315651624e+240 4.003667141002677e-123 7.073867711573596e+279) | 0 | - | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
| 101.0ms | 512× | 0 | valid |
Compiled 159 to 41 computations (74.2% saved)
ival-sin: 38.0ms (55.9% of total)ival-pow: 15.0ms (22.1% of total)ival-sqrt: 5.0ms (7.4% of total)ival-mult: 4.0ms (5.9% of total)ival-div: 3.0ms (4.4% of total)ival-add: 3.0ms (4.4% of total)const: 1.0ms (1.5% of total)backward-pass: 0.0ms (0% of total)Compiled 14 to 9 computations (35.7% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.8% | (*.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% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
Compiled 33 to 22 computations (33.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 ky) |
| ✓ | cost-diff | 12992 | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 12992 | (/.f64 (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 | 12992 | (*.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 | 0 | (sin.f64 th) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| ✓ | cost-diff | 0 | (sin.f64 ky) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| 16× | *-lowering-*.f32 |
| 16× | *-lowering-*.f64 |
| 6× | *-commutative |
| 6× | sin-lowering-sin.f64 |
| 6× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 84 |
| 1 | 29 | 84 |
| 2 | 33 | 84 |
| 0 | 33 | 84 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
(sin ky) |
ky |
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) |
(sin th) |
th |
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) |
(sin kx) |
kx |
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
(/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sin ky) |
ky |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(+ (pow (sin kx) 2) (pow (sin ky) 2)) |
(pow (sin kx) 2) |
(sin kx) |
kx |
2 |
(pow (sin ky) 2) |
(sin th) |
th |
| Outputs |
|---|
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin ky) |
(sin.f64 ky) |
ky |
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin th) |
(sin.f64 th) |
th |
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin kx) |
(sin.f64 kx) |
kx |
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin ky) |
(sin.f64 ky) |
ky |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(+ (pow (sin kx) 2) (pow (sin ky) 2)) |
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(sin kx) |
(sin.f64 kx) |
kx |
2 |
#s(literal 2 binary64) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(sin th) |
(sin.f64 th) |
th |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 (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 | 99.6% | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.6% | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
| ✓ | accuracy | 94.2% | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (sin.f64 kx) |
| ✓ | accuracy | 99.9% | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| ✓ | accuracy | 99.6% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| 68.0ms | 256× | 0 | valid |
Compiled 103 to 17 computations (83.5% saved)
ival-sin: 17.0ms (30.3% of total)compiled-spec: 11.0ms (19.6% of total)ival-div: 7.0ms (12.5% of total)ival-mult: 7.0ms (12.5% of total)ival-add: 5.0ms (8.9% of total)ival-pow: 5.0ms (8.9% of total)ival-sqrt: 4.0ms (7.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))> |
#<alt (sin ky)> |
#<alt (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))> |
#<alt (sin th)> |
#<alt (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))> |
#<alt (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))> |
#<alt (sin kx)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin kx) 2)> |
| Outputs |
|---|
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (sin th)> |
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt ky> |
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))> |
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))> |
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))> |
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))> |
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (/ (sin th) (sin kx))> |
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))> |
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx)))> |
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx)))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))> |
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))> |
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt th> |
#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))> |
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (sin th)> |
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (/ ky (sin kx))> |
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))> |
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (sin ky)> |
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sin kx)> |
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sin kx)> |
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sin ky)> |
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt 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 ky 2)> |
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))> |
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))> |
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow kx 2)> |
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))> |
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))> |
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))> |
#<alt (pow (sin kx) 2)> |
#<alt (pow (sin kx) 2)> |
#<alt (pow (sin kx) 2)> |
#<alt (pow (sin kx) 2)> |
#<alt (pow (sin kx) 2)> |
#<alt (pow (sin kx) 2)> |
#<alt (pow (sin kx) 2)> |
#<alt (pow (sin kx) 2)> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | kx | @ | inf | (* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 3.0ms | th | @ | inf | (* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 3.0ms | ky | @ | -inf | (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
| 3.0ms | ky | @ | inf | (* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 3.0ms | ky | @ | 0 | (* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 1× | batch-egg-rewrite |
| 1716× | *-lowering-*.f32 |
| 1716× | *-lowering-*.f64 |
| 1580× | /-lowering-/.f32 |
| 1580× | /-lowering-/.f64 |
| 1226× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 62 |
| 1 | 101 | 62 |
| 2 | 758 | 62 |
| 0 | 9823 | 62 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sin ky) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
(sin ky) |
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) |
(sin th) |
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
(/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) |
(sin kx) |
(pow (sin ky) 2) |
(pow (sin kx) 2) |
| Outputs |
|---|
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (sin.f64 ky))) |
(neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) (sin.f64 th))) |
(neg.f64 (*.f64 (sin.f64 ky) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))) |
(neg.f64 (*.f64 (sin.f64 th) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 th)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))) |
(/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th)))) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) |
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(*.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 th) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(*.f64 (/.f64 (sin.f64 ky) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) #s(literal -1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) #s(literal -1 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(exp.f64 (log.f64 (sin.f64 ky))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) |
(sin.f64 ky) |
(sin.f64 kx) |
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky))) |
(pow.f64 (sin.f64 ky) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 ky) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 ky)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th)))) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 th)))) |
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th)) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 th))) |
(sin.f64 th) |
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th))) |
(*.f64 (sin.f64 th) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 th)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 th))) |
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (sin.f64 ky))) |
(neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) (sin.f64 th))) |
(neg.f64 (*.f64 (sin.f64 ky) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))) |
(neg.f64 (*.f64 (sin.f64 th) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 th)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 th)) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))) |
(/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th)))) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) |
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 ky)) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(*.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 th) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 ky))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(*.f64 (/.f64 (sin.f64 ky) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) #s(literal -1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 ky)))) |
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(hypot.f64 (sin.f64 ky) (sin.f64 ky)) |
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(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1/2 binary64)) |
(*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 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 #s(literal 0 binary64) #s(literal 0 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal -2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky kx)) (cos.f64 (+.f64 ky kx))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 kx ky)) (cos.f64 (+.f64 kx ky))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)))) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (sin.f64 ky)) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1/2 binary64)) |
(*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
| 1× | egg-herbie |
| 5238× | *-lowering-*.f32 |
| 5238× | *-lowering-*.f64 |
| 1906× | +-lowering-+.f64 |
| 1906× | +-lowering-+.f32 |
| 1622× | sum3-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 405 | 4445 |
| 1 | 1412 | 4111 |
| 2 | 5844 | 4111 |
| 0 | 8117 | 4111 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(sin th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (sin th) (sin kx)) |
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (sin th) (sin ky)) |
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(sin th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ ky (sin kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
1 |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(sin ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sin kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sin kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sin ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
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 ky 2) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow kx 2) |
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
(pow (sin kx) 2) |
| Outputs |
|---|
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx)))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 ky (*.f64 ky (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 ky (*.f64 ky (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))))))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 ky (*.f64 ky (+.f64 (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx))) (*.f64 ky (*.f64 ky (+.f64 (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (+.f64 (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))) (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 kx) #s(literal -1/12 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/240 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/5040 binary64)) (sin.f64 kx)))))) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (sin.f64 kx))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (sin.f64 ky))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) (sin.f64 ky)) (sin.f64 ky)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 th th)) (sin.f64 ky))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(*.f64 th (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) (sin.f64 ky)) (sin.f64 ky))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 th th)) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 th th) (*.f64 th th))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(sin th) |
(sin.f64 th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+.f64 (sin.f64 th) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 th) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64))))))) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/5040 binary64))))))))) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(*.f64 th (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))) |
(*.f64 th (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 th th)))) (*.f64 (*.f64 th th) (*.f64 th th))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(/ (sin th) (sin kx)) |
(/.f64 (sin.f64 th) (sin.f64 kx)) |
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx))) |
(+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky (sin.f64 th)))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx))) |
(+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx))) |
(+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky))) |
(+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky))) |
(+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx (*.f64 kx (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky))) |
(+.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx (*.f64 kx (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 th th))))))) |
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 th 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) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx)))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 ky (*.f64 ky (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 ky (*.f64 ky (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))))))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 ky (*.f64 ky (+.f64 (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx))) (*.f64 ky (*.f64 ky (+.f64 (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (+.f64 (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))) (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 kx) #s(literal -1/12 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/240 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/5040 binary64)) (sin.f64 kx)))))) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (sin.f64 kx))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(sin th) |
(sin.f64 th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+.f64 (sin.f64 th) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 th) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (sin.f64 ky))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) (sin.f64 ky)) (sin.f64 ky)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 th th)) (sin.f64 ky))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(*.f64 th (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) (sin.f64 ky)) (sin.f64 ky))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 th th)) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 th th) (*.f64 th th))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (*.f64 ky (-.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (-.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) #s(literal 1/2 binary64))) (*.f64 ky (*.f64 ky (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) (*.f64 (sin.f64 kx) #s(literal -1/2 binary64))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) #s(literal -1/12 binary64))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx)))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(+.f64 (sin.f64 ky) (*.f64 kx (*.f64 kx (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 kx (*.f64 kx (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 ky)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky))))))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin kx) |
(sin.f64 kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+.f64 (sin.f64 kx) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky)) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx))))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin kx) |
(sin.f64 kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+.f64 (sin.f64 kx) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky)) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx))))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(+.f64 (sin.f64 ky) (*.f64 kx (*.f64 kx (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 kx (*.f64 kx (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (sin.f64 ky)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky))))))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)))))) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx 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 ky 2) |
(*.f64 ky ky) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(*.f64 ky (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/3 binary64))))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(*.f64 ky (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (*.f64 ky (*.f64 ky #s(literal 2/45 binary64)))))))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/315 binary64))))))))) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow kx 2) |
(*.f64 kx kx) |
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/3 binary64)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) |
(*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)))))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))) |
(*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 2/45 binary64) (*.f64 kx (*.f64 kx #s(literal -1/315 binary64)))))))))) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
Compiled 14023 to 1585 computations (88.7% saved)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 621 | 21 | 642 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 622 | 22 | 644 |
| Status | Accuracy | Program |
|---|---|---|
| 26.2% | (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) | |
| ▶ | 78.3% | (*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| ▶ | 99.7% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
| 45.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th) | |
| ▶ | 32.0% | (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
| 69.6% | (*.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)) | |
| 29.4% | (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) | |
| 26.5% | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) | |
| 90.3% | (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) | |
| 93.4% | (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th)) | |
| 41.8% | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (sin.f64 ky))) | |
| ▶ | 48.9% | (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| 78.4% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sin.f64 kx)))) | |
| ✓ | 99.6% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| 57.0% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) | |
| 57.4% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) | |
| 33.8% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) | |
| 32.0% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) | |
| 49.1% | (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| 93.4% | (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) | |
| 74.8% | (*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| ▶ | 33.9% | (sin.f64 th) |
Compiled 662 to 461 computations (30.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 ky) |
| ✓ | cost-diff | 64 | (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 12928 | (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 12928 | (*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| ✓ | cost-diff | 0 | (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| ✓ | cost-diff | 0 | (sin.f64 ky) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| ✓ | cost-diff | 0 | (sin.f64 kx) |
| ✓ | cost-diff | 0 | (sin.f64 ky) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 ky) (sin.f64 kx)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
| ✓ | cost-diff | 0 | (sin.f64 th) |
| ✓ | cost-diff | 0 | (hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
| ✓ | cost-diff | 0 | (sin.f64 ky) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
| 1696× | fma-define |
| 1454× | *-lowering-*.f32 |
| 1454× | *-lowering-*.f64 |
| 622× | fma-lowering-fma.f32 |
| 622× | fma-lowering-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 169 |
| 1 | 65 | 165 |
| 2 | 117 | 165 |
| 3 | 265 | 159 |
| 4 | 554 | 159 |
| 5 | 1056 | 159 |
| 6 | 1545 | 159 |
| 7 | 2205 | 159 |
| 8 | 2567 | 159 |
| 9 | 2695 | 159 |
| 10 | 2715 | 159 |
| 11 | 2715 | 159 |
| 12 | 2852 | 159 |
| 13 | 2900 | 159 |
| 14 | 2900 | 159 |
| 0 | 2900 | 159 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) |
(/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) |
(sin ky) |
ky |
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) |
(sin kx) |
kx |
(sin th) |
th |
(sin th) |
th |
(* (/ (sin ky) (sin kx)) (sin th)) |
(/ (sin ky) (sin kx)) |
(sin ky) |
ky |
(sin kx) |
kx |
(sin th) |
th |
(* (sin ky) (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
(sin ky) |
ky |
(/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) |
(* th (+ 1 (* (* -1/6 th) th))) |
th |
(+ 1 (* (* -1/6 th) th)) |
1 |
(* (* -1/6 th) th) |
(* -1/6 th) |
-1/6 |
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) |
(sin kx) |
kx |
(* (pow (pow (sin ky) 1/2) 2) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
(pow (pow (sin ky) 1/2) 2) |
(pow (sin ky) 1/2) |
(sin ky) |
ky |
1/2 |
2 |
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) |
(sin th) |
th |
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) |
(sin kx) |
kx |
| Outputs |
|---|
(* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin ky) |
(sin.f64 ky) |
ky |
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin kx) |
(sin.f64 kx) |
kx |
(sin th) |
(sin.f64 th) |
th |
(sin th) |
(sin.f64 th) |
th |
(* (/ (sin ky) (sin kx)) (sin th)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin ky) |
(sin.f64 ky) |
ky |
(sin kx) |
(sin.f64 kx) |
kx |
(sin th) |
(sin.f64 th) |
th |
(* (sin ky) (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
(/.f64 (*.f64 th (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin ky) |
(sin.f64 ky) |
ky |
(/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(* th (+ 1 (* (* -1/6 th) th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) |
th |
(+ 1 (* (* -1/6 th) th)) |
(+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) |
1 |
#s(literal 1 binary64) |
(* (* -1/6 th) th) |
(*.f64 th (*.f64 th #s(literal -1/6 binary64))) |
(* -1/6 th) |
(*.f64 th #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin kx) |
(sin.f64 kx) |
kx |
(* (pow (pow (sin ky) 1/2) 2) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(pow (pow (sin ky) 1/2) 2) |
(sin.f64 ky) |
(pow (sin ky) 1/2) |
(sqrt.f64 (sin.f64 ky)) |
(sin ky) |
(sin.f64 ky) |
ky |
1/2 |
#s(literal 1/2 binary64) |
2 |
#s(literal 2 binary64) |
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin th) |
(sin.f64 th) |
th |
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin kx) |
(sin.f64 kx) |
kx |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| ✓ | accuracy | 99.7% | (*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| ✓ | accuracy | 99.4% | (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal -1/6 binary64) th) |
| ✓ | accuracy | 95.8% | (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| ✓ | accuracy | 100.0% | (sin.f64 ky) |
| ✓ | accuracy | 100.0% | (sin.f64 kx) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 ky) (sin.f64 kx)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
| ✓ | accuracy | 100.0% | (sin.f64 th) |
| ✓ | accuracy | 100.0% | (sin.f64 kx) |
| ✓ | accuracy | 100.0% | (hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
| 94.0ms | 202× | 0 | valid |
| 21.0ms | 54× | 0 | invalid |
Compiled 182 to 27 computations (85.2% saved)
ival-sin: 21.0ms (23.7% of total)ival-mult: 18.0ms (20.3% of total)compiled-spec: 15.0ms (16.9% of total)ival-pow: 12.0ms (13.6% of total)ival-div: 7.0ms (7.9% of total)ival-add: 6.0ms (6.8% of total)ival-sqrt: 4.0ms (4.5% of total)...c/correct-round.rkt:119:19: 4.0ms (4.5% of total)const: 1.0ms (1.1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th))> |
#<alt (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))> |
#<alt (sin ky)> |
#<alt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))> |
#<alt (sin th)> |
#<alt (* (/ (sin ky) (sin kx)) (sin th))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (sin kx)> |
#<alt (* (sin ky) (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))> |
#<alt (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))> |
#<alt (* th (+ 1 (* (* -1/6 th) th)))> |
#<alt (* (pow (pow (sin ky) 1/2) 2) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))> |
#<alt (pow (pow (sin ky) 1/2) 2)> |
#<alt (pow (sin ky) 1/2)> |
#<alt (* -1/6 th)> |
#<alt (* (* -1/6 th) th)> |
#<alt (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))> |
#<alt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))> |
| Outputs |
|---|
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (sin th)> |
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (/ ky (sin kx))> |
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))> |
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt ky> |
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))> |
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))> |
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sin kx)> |
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt 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 (sin th)) (sin kx))> |
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)> |
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)> |
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* th (sin ky)) (sin kx))> |
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))> |
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))> |
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ (* (sin ky) (sin th)) (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)> |
#<alt (/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)> |
#<alt (/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt (/ (sin ky) (sin kx))> |
#<alt 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 (/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (sin kx))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (+ (* -1/12 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))> |
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))> |
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))> |
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))> |
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))> |
#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 2))) (* th (+ 1 (* -1/6 (pow th 2)))))> |
#<alt (+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))> |
#<alt (+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))> |
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))> |
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))> |
#<alt (* -1/6 (* (pow th 3) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))> |
#<alt (* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* -1/6 (* (pow th 3) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))> |
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))> |
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))> |
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))> |
#<alt (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))> |
#<alt (+ (* -1/2 (/ (* (pow ky 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin kx) 3))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))> |
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))> |
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))> |
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky))> |
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 3))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))> |
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))> |
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)))> |
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt th> |
#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* -1/6 (pow th 3))> |
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* -1/6 (pow th 3))> |
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))> |
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))> |
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (sin th)> |
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt 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 ky)> |
#<alt (+ (sqrt ky) (* -1/12 (sqrt (pow ky 5))))> |
#<alt (+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* 1/240 (sqrt (pow ky 3))))))> |
#<alt (+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* (pow ky 2) (+ (* -1/288 (sqrt (/ 1 ky))) (* 1/240 (sqrt (/ 1 ky))))))))> |
#<alt (sqrt (sin ky))> |
#<alt (sqrt (sin ky))> |
#<alt (sqrt (sin ky))> |
#<alt (sqrt (sin ky))> |
#<alt (sqrt (sin ky))> |
#<alt (sqrt (sin ky))> |
#<alt (sqrt (sin ky))> |
#<alt (sqrt (sin ky))> |
#<alt (* -1/6 th)> |
#<alt (* -1/6 th)> |
#<alt (* -1/6 th)> |
#<alt (* -1/6 th)> |
#<alt (* -1/6 th)> |
#<alt (* -1/6 th)> |
#<alt (* -1/6 th)> |
#<alt (* -1/6 th)> |
#<alt (* -1/6 th)> |
#<alt (* -1/6 th)> |
#<alt (* -1/6 th)> |
#<alt (* -1/6 th)> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))> |
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))> |
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (/ (sin th) (sin kx))> |
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))> |
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx)))> |
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx)))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))> |
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))> |
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (sin kx)> |
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sin ky)> |
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | ky | @ | inf | (* (sin ky) (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 7.0ms | ky | @ | inf | (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) |
| 3.0ms | ky | @ | 0 | (* (sin ky) (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 1.0ms | th | @ | inf | (* (sin ky) (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 1.0ms | th | @ | 0 | (* (sin ky) (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 1× | batch-egg-rewrite |
| 4422× | /-lowering-/.f32 |
| 4422× | /-lowering-/.f64 |
| 4206× | *-lowering-*.f32 |
| 4206× | *-lowering-*.f64 |
| 1598× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 122 |
| 1 | 165 | 119 |
| 2 | 1145 | 113 |
| 0 | 8446 | 113 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) |
(/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) |
(sin ky) |
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) |
(sin th) |
(* (/ (sin ky) (sin kx)) (sin th)) |
(/ (sin ky) (sin kx)) |
(sin kx) |
(* (sin ky) (/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
(/ (* th (+ 1 (* (* -1/6 th) th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) |
(* th (+ 1 (* (* -1/6 th) th))) |
(* (pow (pow (sin ky) 1/2) 2) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
(pow (pow (sin ky) 1/2) 2) |
(pow (sin ky) 1/2) |
(* -1/6 th) |
(* (* -1/6 th) th) |
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) |
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) |
| Outputs |
|---|
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (*.f64 (sin.f64 th) #s(literal 1 binary64)))) |
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(exp.f64 (log.f64 (sin.f64 ky))) |
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(sin.f64 ky) |
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(*.f64 (pow.f64 (sin.f64 ky) #s(literal 3/4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64))) |
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(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) |
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(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
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(pow.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))) #s(literal 1/2 binary64)) |
(*.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) #s(literal 4 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 4 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) #s(literal 4 binary64)))))) |
(*.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 4 binary64)))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.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 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 1/2 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 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/4 binary64))) |
(sin.f64 th) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (neg.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (-.f64 #s(literal 0 binary64) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (sin.f64 kx))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (sin.f64 kx))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 kx)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64))) (neg.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th))) (neg.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 kx)))) |
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 kx))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) #s(literal -1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64))) |
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(sin.f64 ky) |
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(pow.f64 (sin.f64 ky) #s(literal 1 binary64)) |
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(*.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 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 1/2 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 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 5848× | *-lowering-*.f32 |
| 5848× | *-lowering-*.f64 |
| 4724× | +-lowering-+.f64 |
| 4724× | +-lowering-+.f32 |
| 1916× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 650 | 8007 |
| 1 | 2351 | 7245 |
| 2 | 7260 | 7238 |
| 0 | 8028 | 7238 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(sin th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ ky (sin kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
1 |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sin kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
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 (sin th)) (sin kx)) |
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx)))) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) kx) |
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx) |
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx) |
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* th (sin ky)) (sin kx)) |
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx)))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx)))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx)))) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/ ky (sin kx)) |
(* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx)))) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) kx) |
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx) |
(/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx) |
(/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
(/ (sin ky) (sin kx)) |
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) |
(/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (+ (* -1/12 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 2))) (* th (+ 1 (* -1/6 (pow th 2))))) |
(+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* -1/6 (* (pow th 3) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* -1/6 (* (pow th 3) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* -1 (* (pow th 3) (+ (* -1 (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)) |
(+ (* -1/2 (/ (* (pow ky 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin kx) 3))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) |
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)) |
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 3))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky))) |
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(* -1/6 (pow th 3)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(* -1/6 (pow th 3)) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(sin th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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 ky) |
(+ (sqrt ky) (* -1/12 (sqrt (pow ky 5)))) |
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* 1/240 (sqrt (pow ky 3)))))) |
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* (pow ky 2) (+ (* -1/288 (sqrt (/ 1 ky))) (* 1/240 (sqrt (/ 1 ky)))))))) |
(sqrt (sin ky)) |
(sqrt (sin ky)) |
(sqrt (sin ky)) |
(sqrt (sin ky)) |
(sqrt (sin ky)) |
(sqrt (sin ky)) |
(sqrt (sin ky)) |
(sqrt (sin ky)) |
(* -1/6 th) |
(* -1/6 th) |
(* -1/6 th) |
(* -1/6 th) |
(* -1/6 th) |
(* -1/6 th) |
(* -1/6 th) |
(* -1/6 th) |
(* -1/6 th) |
(* -1/6 th) |
(* -1/6 th) |
(* -1/6 th) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (sin th) (sin kx)) |
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (sin th) (sin ky)) |
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(sin kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sin ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
| Outputs |
|---|
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))) (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx)))))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(sin th) |
(sin.f64 th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (sin.f64 ky))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (-.f64 (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (-.f64 (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))) (-.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))))) (-.f64 (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)))))) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/5040 binary64)))))))) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky))))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin kx) |
(sin.f64 kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (/.f64 (*.f64 ky ky) (sin.f64 kx)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 kx))))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 th th)))))) |
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 th 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) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (sin.f64 kx))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (sin.f64 kx))))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (*.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (sin.f64 kx))))))))) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx)) |
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx) |
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx) |
(/.f64 (+.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 (*.f64 kx kx) (-.f64 (*.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (sin.f64 th)) (*.f64 (*.f64 kx kx) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) #s(literal -7/360 binary64))))))) kx) |
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx) |
(/.f64 (+.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (-.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 7/360 binary64)) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) #s(literal -7/360 binary64)))) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) #s(literal 1/840 binary64))))))) (*.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (sin.f64 th))))) kx) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* th (sin ky)) (sin kx)) |
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)) |
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx)))) |
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sin.f64 kx)))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx)))) |
(*.f64 th (+.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (*.f64 th th) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sin.f64 kx)) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx)))) |
(*.f64 th (+.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (*.f64 th th) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sin.f64 kx)) (*.f64 (*.f64 th th) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (sin.f64 kx)))))))) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) (sin.f64 kx)))) |
(* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) (sin.f64 kx)))))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) #s(literal -1/5040 binary64)) (sin.f64 kx)))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)))))) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) |
(/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx) |
(/.f64 (+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (*.f64 (sin.f64 ky) #s(literal 7/360 binary64))) (*.f64 (sin.f64 ky) #s(literal 1/6 binary64))))) kx) |
(/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx) |
(/.f64 (+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (-.f64 (*.f64 (sin.f64 ky) #s(literal 7/360 binary64)) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) #s(literal -7/360 binary64))) (*.f64 (sin.f64 ky) #s(literal 1/840 binary64)))))) (*.f64 (sin.f64 ky) #s(literal 1/6 binary64))))) kx) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (sin ky) (sin kx)) |
(/.f64 (sin.f64 ky) (sin.f64 kx)) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)))))) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx 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) |
(/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (sin kx)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))) |
(*.f64 ky (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))) |
(*.f64 ky (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 th (sin.f64 kx)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))))))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (+ (* -1/12 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))) |
(*.f64 ky (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 th (sin.f64 kx)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) th) (*.f64 (*.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 th (sin.f64 kx)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal -1/5040 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))))))))))))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
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(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
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(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
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(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
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(* -1/6 (* (pow th 3) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
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(* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
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(* (pow th 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
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(* -1/6 (* (pow th 3) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
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(/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)) |
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin ky)) |
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (+ 1 (* -1/6 (pow th 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
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(* th (+ 1 (* -1/6 (pow th 2)))) |
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(* th (+ 1 (* -1/6 (pow th 2)))) |
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(* -1/6 (pow th 3)) |
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(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
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(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
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(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
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(* -1/6 (pow th 3)) |
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(/ (* ky (sin th)) (sin kx)) |
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))) (+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx)))))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (sin.f64 ky))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(sin th) |
(sin.f64 th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)))))) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/5040 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) |
(sqrt ky) |
(sqrt.f64 ky) |
(+ (sqrt ky) (* -1/12 (sqrt (pow ky 5)))) |
(+.f64 (sqrt.f64 ky) (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (pow.f64 ky #s(literal 5 binary64))))) |
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* 1/240 (sqrt (pow ky 3)))))) |
(+.f64 (sqrt.f64 ky) (*.f64 (*.f64 ky (*.f64 ky ky)) (+.f64 (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) ky))) (*.f64 #s(literal 1/240 binary64) (sqrt.f64 (*.f64 ky (*.f64 ky ky))))))) |
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* (pow ky 2) (+ (* -1/288 (sqrt (/ 1 ky))) (* 1/240 (sqrt (/ 1 ky)))))))) |
(+.f64 (sqrt.f64 ky) (*.f64 (*.f64 ky (*.f64 ky ky)) (+.f64 (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) ky))) (*.f64 (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) ky)) #s(literal 1/1440 binary64)))))) |
(sqrt (sin ky)) |
(sqrt.f64 (sin.f64 ky)) |
(sqrt (sin ky)) |
(sqrt.f64 (sin.f64 ky)) |
(sqrt (sin ky)) |
(sqrt.f64 (sin.f64 ky)) |
(sqrt (sin ky)) |
(sqrt.f64 (sin.f64 ky)) |
(sqrt (sin ky)) |
(sqrt.f64 (sin.f64 ky)) |
(sqrt (sin ky)) |
(sqrt.f64 (sin.f64 ky)) |
(sqrt (sin ky)) |
(sqrt.f64 (sin.f64 ky)) |
(sqrt (sin ky)) |
(sqrt.f64 (sin.f64 ky)) |
(* -1/6 th) |
(*.f64 th #s(literal -1/6 binary64)) |
(* -1/6 th) |
(*.f64 th #s(literal -1/6 binary64)) |
(* -1/6 th) |
(*.f64 th #s(literal -1/6 binary64)) |
(* -1/6 th) |
(*.f64 th #s(literal -1/6 binary64)) |
(* -1/6 th) |
(*.f64 th #s(literal -1/6 binary64)) |
(* -1/6 th) |
(*.f64 th #s(literal -1/6 binary64)) |
(* -1/6 th) |
(*.f64 th #s(literal -1/6 binary64)) |
(* -1/6 th) |
(*.f64 th #s(literal -1/6 binary64)) |
(* -1/6 th) |
(*.f64 th #s(literal -1/6 binary64)) |
(* -1/6 th) |
(*.f64 th #s(literal -1/6 binary64)) |
(* -1/6 th) |
(*.f64 th #s(literal -1/6 binary64)) |
(* -1/6 th) |
(*.f64 th #s(literal -1/6 binary64)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
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(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
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(* -1/6 (pow th 2)) |
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(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
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(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
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(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
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(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(/ (sin th) (sin kx)) |
(/.f64 (sin.f64 th) (sin.f64 kx)) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky))) |
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(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky))) |
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(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(sin kx) |
(sin.f64 kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
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(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
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(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
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(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
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(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
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(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
Compiled 31253 to 2575 computations (91.8% saved)
51 alts after pruning (47 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1272 | 40 | 1312 |
| Fresh | 9 | 7 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1283 | 51 | 1334 |
| Status | Accuracy | Program |
|---|---|---|
| 13.6% | (/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx))) | |
| 11.7% | (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx) | |
| 93.5% | (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| 17.3% | (/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)) | |
| 26.2% | (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) | |
| ▶ | 99.7% | (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
| 31.9% | (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) | |
| 99.5% | (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) | |
| 42.2% | (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (*.f64 (sin.f64 ky) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) | |
| 92.8% | (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) | |
| 31.5% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) | |
| 28.5% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) | |
| 30.1% | (*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))) | |
| 30.0% | (*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (sin.f64 kx)) (sin.f64 th)) | |
| ▶ | 14.9% | (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
| 28.9% | (*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) | |
| 15.7% | (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (sin.f64 kx)) (sin.f64 th)) | |
| 99.5% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) | |
| ✓ | 99.7% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
| 49.2% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) | |
| 57.5% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) | |
| 57.0% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) | |
| 75.3% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))))) (sin.f64 th)) | |
| 75.5% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))) (sin.f64 th)) | |
| ✓ | 32.0% | (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
| 21.2% | (*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) | |
| 31.8% | (*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th)) | |
| 28.6% | (*.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th)) | |
| 29.4% | (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) | |
| 31.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) | |
| 28.7% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) | |
| ▶ | 26.5% | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
| 28.7% | (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) | |
| ▶ | 42.7% | (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| 32.3% | (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx))) | |
| 29.9% | (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx)))) | |
| 35.8% | (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))))))) | |
| 35.9% | (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))))) | |
| 15.5% | (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky))) | |
| 19.9% | (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx))) | |
| ✓ | 99.6% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| 57.4% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) | |
| 33.8% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) | |
| 32.0% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) | |
| 49.1% | (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| 31.9% | (*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) | |
| 15.5% | (*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))) | |
| 15.5% | (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) | |
| 18.7% | (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) | |
| ✓ | 33.9% | (sin.f64 th) |
| ▶ | 15.9% | th |
Compiled 1562 to 1112 computations (28.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| ✓ | cost-diff | 0 | (sin.f64 ky) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 ky) th) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
| ✓ | cost-diff | 0 | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
| ✓ | cost-diff | 0 | (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
| ✓ | cost-diff | 0 | (sin.f64 th) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
| 5100× | *-lowering-*.f32 |
| 5100× | *-lowering-*.f64 |
| 2272× | /-lowering-/.f32 |
| 2272× | /-lowering-/.f64 |
| 2234× | fma-define |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 214 |
| 1 | 70 | 209 |
| 2 | 160 | 209 |
| 3 | 398 | 209 |
| 4 | 1171 | 207 |
| 5 | 1829 | 203 |
| 6 | 2427 | 201 |
| 7 | 3303 | 201 |
| 8 | 3670 | 201 |
| 9 | 4089 | 201 |
| 10 | 4544 | 201 |
| 11 | 4688 | 201 |
| 12 | 4756 | 201 |
| 13 | 6936 | 201 |
| 0 | 8183 | 201 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) |
(sin th) |
th |
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) |
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) |
(sin ky) |
ky |
(sin kx) |
kx |
th |
(* (/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx) (sin th)) |
(/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx) |
(* (+ (* 1/6 (* kx kx)) 1) (sin ky)) |
(+ (* 1/6 (* kx kx)) 1) |
(* 1/6 (* kx kx)) |
1/6 |
(* kx kx) |
kx |
1 |
(sin ky) |
ky |
(sin th) |
th |
(* (+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2))) (sin th)) |
(+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2))) |
1 |
(/ (* -1/2 (* kx kx)) (pow (sin ky) 2)) |
(* -1/2 (* kx kx)) |
-1/2 |
(* kx kx) |
kx |
(pow (sin ky) 2) |
(sin ky) |
ky |
2 |
(sin th) |
th |
(* (* (sin ky) th) (/ (+ 1 (* -1/6 (* th th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
(* (sin ky) th) |
(sin ky) |
ky |
th |
(/ (+ 1 (* -1/6 (* th th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) |
(+ 1 (* -1/6 (* th th))) |
1 |
(* -1/6 (* th th)) |
-1/6 |
(* th th) |
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) |
(sin kx) |
kx |
| Outputs |
|---|
(/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) |
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(sin th) |
(sin.f64 th) |
th |
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin ky) |
(sin.f64 ky) |
ky |
(sin kx) |
(sin.f64 kx) |
kx |
th |
(* (/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx) (sin th)) |
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) |
(/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx) |
(*.f64 (sin.f64 ky) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx))) |
(* (+ (* 1/6 (* kx kx)) 1) (sin ky)) |
(*.f64 (sin.f64 ky) (+.f64 (*.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(+ (* 1/6 (* kx kx)) 1) |
(+.f64 (*.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(* 1/6 (* kx kx)) |
(*.f64 kx (*.f64 kx #s(literal 1/6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* kx kx) |
(*.f64 kx kx) |
kx |
1 |
#s(literal 1 binary64) |
(sin ky) |
(sin.f64 ky) |
ky |
(sin th) |
(sin.f64 th) |
th |
(* (+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2))) (sin th)) |
(*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
1 |
#s(literal 1 binary64) |
(/ (* -1/2 (* kx kx)) (pow (sin ky) 2)) |
(/.f64 (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(* -1/2 (* kx kx)) |
(*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(* kx kx) |
(*.f64 kx kx) |
kx |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(sin ky) |
(sin.f64 ky) |
ky |
2 |
#s(literal 2 binary64) |
(sin th) |
(sin.f64 th) |
th |
(* (* (sin ky) th) (/ (+ 1 (* -1/6 (* th th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
(/.f64 (*.f64 (*.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(* (sin ky) th) |
(*.f64 th (sin.f64 ky)) |
(sin ky) |
(sin.f64 ky) |
ky |
th |
(/ (+ 1 (* -1/6 (* th th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(+ 1 (* -1/6 (* th th))) |
(+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) |
1 |
#s(literal 1 binary64) |
(* -1/6 (* th th)) |
(*.f64 th (*.f64 th #s(literal -1/6 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(* th th) |
(*.f64 th th) |
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin kx) |
(sin.f64 kx) |
kx |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 ky) th) |
| ✓ | accuracy | 99.7% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
| ✓ | accuracy | 93.2% | (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| ✓ | accuracy | 100.0% | (sin.f64 ky) |
| ✓ | accuracy | 99.6% | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
| ✓ | accuracy | 94.8% | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
| ✓ | accuracy | 88.4% | (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
| ✓ | accuracy | 90.0% | (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) |
| ✓ | accuracy | 81.7% | (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) |
| ✓ | accuracy | 100.0% | (sin.f64 kx) |
| ✓ | accuracy | 99.9% | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
| ✓ | accuracy | 99.8% | (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
| 115.0ms | 256× | 0 | valid |
Compiled 222 to 32 computations (85.6% saved)
ival-mult: 22.0ms (27.6% of total)ival-sin: 20.0ms (25.1% of total)ival-div: 10.0ms (12.6% of total)...c/correct-round.rkt:119:19: 8.0ms (10.1% of total)compiled-spec: 8.0ms (10.1% of total)ival-add: 5.0ms (6.3% of total)ival-pow: 3.0ms (3.8% of total)ival-sqrt: 2.0ms (2.5% of total)const: 1.0ms (1.3% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))> |
#<alt (sin th)> |
#<alt (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))> |
#<alt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))> |
#<alt (* (/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx) (sin th))> |
#<alt (/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx)> |
#<alt (* (+ (* 1/6 (* kx kx)) 1) (sin ky))> |
#<alt (+ (* 1/6 (* kx kx)) 1)> |
#<alt (* (+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2))) (sin th))> |
#<alt (+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2)))> |
#<alt (/ (* -1/2 (* kx kx)) (pow (sin ky) 2))> |
#<alt (* -1/2 (* kx kx))> |
#<alt (* (* (sin ky) th) (/ (+ 1 (* -1/6 (* th th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))> |
#<alt (* (sin ky) th)> |
#<alt (sin ky)> |
#<alt (/ (+ 1 (* -1/6 (* th th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))> |
#<alt (sin kx)> |
#<alt (* 1/6 (* kx kx))> |
#<alt (pow (sin ky) 2)> |
#<alt (* -1/6 (* th th))> |
| Outputs |
|---|
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (sin th)> |
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt th> |
#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))> |
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (/ (sin kx) ky)> |
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)> |
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)> |
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))> |
#<alt (+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (sin kx)> |
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sin ky)> |
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)> |
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)> |
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)> |
#<alt (* 1/6 (* kx (* (sin ky) (sin th))))> |
#<alt (* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))> |
#<alt (* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))> |
#<alt (* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))> |
#<alt (* 1/6 (* kx (* (sin ky) (sin th))))> |
#<alt (* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))> |
#<alt (* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))> |
#<alt (* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))> |
#<alt (/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))> |
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (/ (* th (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))> |
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))> |
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))> |
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)> |
#<alt (/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)> |
#<alt (/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)> |
#<alt (* 1/6 (* kx (sin ky)))> |
#<alt (* kx (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))> |
#<alt (* kx (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))> |
#<alt (* kx (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))> |
#<alt (* 1/6 (* kx (sin ky)))> |
#<alt (* -1 (* kx (+ (* -1 (/ (sin ky) (pow kx 2))) (* -1/6 (sin ky)))))> |
#<alt (* -1 (* kx (+ (* -1 (/ (sin ky) (pow kx 2))) (* -1/6 (sin ky)))))> |
#<alt (* -1 (* kx (+ (* -1 (/ (sin ky) (pow kx 2))) (* -1/6 (sin ky)))))> |
#<alt (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)> |
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))) kx)) (+ (* 1/6 kx) (/ 1 kx))))> |
#<alt (* ky (+ (* 1/6 kx) (+ (* (pow ky 2) (+ (* -1/6 (/ (+ 1 (* 1/6 (pow kx 2))) kx)) (* 1/120 (/ (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))) kx)))) (/ 1 kx))))> |
#<alt (* ky (+ (* 1/6 kx) (+ (* (pow ky 2) (+ (* -1/6 (/ (+ 1 (* 1/6 (pow kx 2))) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (+ 1 (* 1/6 (pow kx 2))) kx)))))) (/ 1 kx))))> |
#<alt (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)> |
#<alt (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)> |
#<alt (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)> |
#<alt (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)> |
#<alt (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)> |
#<alt (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)> |
#<alt (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)> |
#<alt (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)> |
#<alt (sin ky)> |
#<alt (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky))))> |
#<alt (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky))))> |
#<alt (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky))))> |
#<alt (* 1/6 (* (pow kx 2) (sin ky)))> |
#<alt (* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))> |
#<alt (* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))> |
#<alt (* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))> |
#<alt (* 1/6 (* (pow kx 2) (sin ky)))> |
#<alt (* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))> |
#<alt (* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))> |
#<alt (* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2))))> |
#<alt (* ky (+ 1 (* 1/6 (pow kx 2))))> |
#<alt (* ky (+ 1 (+ (* -1/6 (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2))))) (* 1/6 (pow kx 2)))))> |
#<alt (* ky (+ 1 (+ (* 1/6 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* 1/6 (pow kx 2)))) (* 1/120 (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2))))))))))> |
#<alt (* ky (+ 1 (+ (* 1/6 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* 1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2))))) (* 1/120 (+ 1 (* 1/6 (pow kx 2)))))))))))> |
#<alt (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))> |
#<alt (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))> |
#<alt (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))> |
#<alt (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))> |
#<alt (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))> |
#<alt (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))> |
#<alt (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))> |
#<alt (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow kx 2)))> |
#<alt (+ 1 (* 1/6 (pow kx 2)))> |
#<alt (+ 1 (* 1/6 (pow kx 2)))> |
#<alt (* 1/6 (pow kx 2))> |
#<alt (* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))> |
#<alt (* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))> |
#<alt (* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))> |
#<alt (* 1/6 (pow kx 2))> |
#<alt (* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))> |
#<alt (* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))> |
#<alt (* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))> |
#<alt (sin th)> |
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))> |
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))> |
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))> |
#<alt (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))> |
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))> |
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))> |
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))> |
#<alt (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))> |
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))> |
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))> |
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))> |
#<alt (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))> |
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))> |
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))) (pow ky 2))> |
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* (sin th) (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/2 (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))))))) (pow ky 2))> |
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* -1/6 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))))))> |
#<alt (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))))))))> |
#<alt (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))))))))> |
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))> |
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))> |
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))> |
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))> |
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))> |
#<alt (* -1/2 (/ (pow kx 2) (pow ky 2)))> |
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2))> |
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))> |
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))) (pow ky 2))> |
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow ky 2)))> |
#<alt (/ (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2)))) (pow ky 2))> |
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (pow ky 2))> |
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (* -1/2 (pow kx 2))> |
#<alt (* -1/2 (pow kx 2))> |
#<alt (* -1/2 (pow kx 2))> |
#<alt (* -1/2 (pow kx 2))> |
#<alt (* -1/2 (pow kx 2))> |
#<alt (* -1/2 (pow kx 2))> |
#<alt (* -1/2 (pow kx 2))> |
#<alt (* -1/2 (pow kx 2))> |
#<alt (* -1/2 (pow kx 2))> |
#<alt (* -1/2 (pow kx 2))> |
#<alt (* -1/2 (pow kx 2))> |
#<alt (* -1/2 (pow kx 2))> |
#<alt (/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (sin kx))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (+ (* -1/12 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))> |
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))> |
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))> |
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))> |
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))> |
#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 2))) (* th (+ 1 (* -1/6 (pow th 2)))))> |
#<alt (+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))> |
#<alt (+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* ky th)> |
#<alt (* ky (+ th (* -1/6 (* (pow ky 2) th))))> |
#<alt (* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th))))))> |
#<alt (* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th)))))))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<alt (* th (sin ky))> |
#<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 (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))> |
#<alt (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))> |
#<alt (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (/ (+ 1 (* -1/6 (pow th 2))) (sin kx))> |
#<alt (+ (* -1/2 (/ (* (pow ky 2) (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (pow th 2) (sin kx))) (/ 1 (sin kx))))> |
#<alt (+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ 1 (sin kx))))> |
#<alt (+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ 1 (sin kx))))> |
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (/ (+ 1 (* -1/6 (pow th 2))) (sin ky))> |
#<alt (+ (* -1/2 (/ (* (pow kx 2) (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (+ (* -1/6 (/ (pow th 2) (sin ky))) (/ 1 (sin ky))))> |
#<alt (+ (* -1/6 (/ (pow th 2) (sin ky))) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ 1 (sin ky))))> |
#<alt (+ (* -1/6 (/ (pow th 2) (sin ky))) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ 1 (sin ky))))> |
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt kx> |
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))> |
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))> |
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (sin kx)> |
#<alt (* 1/6 (pow kx 2))> |
#<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 (* 1/6 (pow kx 2))> |
#<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 (* 1/6 (pow kx 2))> |
#<alt (* 1/6 (pow kx 2))> |
#<alt (pow ky 2)> |
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))> |
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))> |
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (pow (sin ky) 2)> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | kx | @ | -inf | (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) |
| 1.0ms | ky | @ | inf | (* (/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx) (sin th)) |
| 1.0ms | ky | @ | inf | (* (+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2))) (sin th)) |
| 1.0ms | ky | @ | -inf | (* (+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2))) (sin th)) |
| 1.0ms | th | @ | inf | (* (/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx) (sin th)) |
| 1× | batch-egg-rewrite |
| 3982× | *-lowering-*.f32 |
| 3982× | *-lowering-*.f64 |
| 3788× | /-lowering-/.f32 |
| 3788× | /-lowering-/.f64 |
| 1932× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 161 |
| 1 | 180 | 157 |
| 2 | 1474 | 151 |
| 0 | 8720 | 151 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) |
(sin th) |
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) |
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) |
(* (/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx) (sin th)) |
(/ (* (+ (* 1/6 (* kx kx)) 1) (sin ky)) kx) |
(* (+ (* 1/6 (* kx kx)) 1) (sin ky)) |
(+ (* 1/6 (* kx kx)) 1) |
(* (+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2))) (sin th)) |
(+ 1 (/ (* -1/2 (* kx kx)) (pow (sin ky) 2))) |
(/ (* -1/2 (* kx kx)) (pow (sin ky) 2)) |
(* -1/2 (* kx kx)) |
(* (* (sin ky) th) (/ (+ 1 (* -1/6 (* th th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
(* (sin ky) th) |
(sin ky) |
(/ (+ 1 (* -1/6 (* th th))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) |
(sin kx) |
(* 1/6 (* kx kx)) |
(pow (sin ky) 2) |
(* -1/6 (* th th)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))) |
(neg.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) |
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(*.f64 (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)))) |
(sin.f64 th) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (log.f64 (sin.f64 ky)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) |
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) |
(/.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64)) (sin.f64 ky)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky))))) |
(/.f64 (neg.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) |
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)))) |
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 th (*.f64 th th)))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 th (*.f64 th th)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 th (*.f64 th th)))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))) |
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 th (*.f64 th th))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th))) (*.f64 th (*.f64 th th)))) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64))) |
(sin.f64 kx) |
(pow.f64 (sin.f64 kx) #s(literal 1 binary64)) |
(*.f64 kx (*.f64 kx #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 kx kx) #s(literal 1 binary64))) |
(*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx))) |
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) |
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 kx #s(literal 1 binary64))) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #s(literal 1 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #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 #s(literal 2 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (sin.f64 ky)) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 th (*.f64 th #s(literal -1/6 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(*.f64 (*.f64 th th) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 th #s(literal -1/6 binary64)) th) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 th #s(literal -1/6 binary64))) th) |
| 1× | egg-herbie |
| 5902× | +-lowering-+.f64 |
| 5902× | +-lowering-+.f32 |
| 5548× | *-lowering-*.f32 |
| 5548× | *-lowering-*.f64 |
| 1748× | sum5-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 724 | 7917 |
| 1 | 2669 | 7285 |
| 2 | 7436 | 7285 |
| 0 | 8298 | 7285 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(sin th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(/ (sin kx) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
1 |
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sin kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sin ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/ (* (sin ky) (sin th)) kx) |
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx) |
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx) |
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx) |
(* 1/6 (* kx (* (sin ky) (sin th)))) |
(* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2)))) |
(* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2)))) |
(* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2)))) |
(* 1/6 (* kx (* (sin ky) (sin th)))) |
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th)))))) |
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th)))))) |
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th)))))) |
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(* ky (+ (* -1/6 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx))) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/ (* th (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(* th (+ (* -1/6 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx))) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/ (sin ky) kx) |
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx) |
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx) |
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx) |
(* 1/6 (* kx (sin ky))) |
(* kx (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(* kx (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(* kx (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(* 1/6 (* kx (sin ky))) |
(* -1 (* kx (+ (* -1 (/ (sin ky) (pow kx 2))) (* -1/6 (sin ky))))) |
(* -1 (* kx (+ (* -1 (/ (sin ky) (pow kx 2))) (* -1/6 (sin ky))))) |
(* -1 (* kx (+ (* -1 (/ (sin ky) (pow kx 2))) (* -1/6 (sin ky))))) |
(/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx) |
(* ky (+ (* -1/6 (/ (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))) kx)) (+ (* 1/6 kx) (/ 1 kx)))) |
(* ky (+ (* 1/6 kx) (+ (* (pow ky 2) (+ (* -1/6 (/ (+ 1 (* 1/6 (pow kx 2))) kx)) (* 1/120 (/ (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))) kx)))) (/ 1 kx)))) |
(* ky (+ (* 1/6 kx) (+ (* (pow ky 2) (+ (* -1/6 (/ (+ 1 (* 1/6 (pow kx 2))) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (+ 1 (* 1/6 (pow kx 2))) kx)))))) (/ 1 kx)))) |
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx) |
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx) |
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx) |
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx) |
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx) |
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx) |
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx) |
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx) |
(sin ky) |
(+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) |
(+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) |
(+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) |
(* 1/6 (* (pow kx 2) (sin ky))) |
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(* 1/6 (* (pow kx 2) (sin ky))) |
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(* ky (+ 1 (* 1/6 (pow kx 2)))) |
(* ky (+ 1 (+ (* -1/6 (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2))))) (* 1/6 (pow kx 2))))) |
(* ky (+ 1 (+ (* 1/6 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* 1/6 (pow kx 2)))) (* 1/120 (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))))))))) |
(* ky (+ 1 (+ (* 1/6 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* 1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2))))) (* 1/120 (+ 1 (* 1/6 (pow kx 2))))))))))) |
(* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) |
(* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) |
(* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) |
(* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) |
(* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) |
(* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) |
(* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) |
(* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) |
1 |
(+ 1 (* 1/6 (pow kx 2))) |
(+ 1 (* 1/6 (pow kx 2))) |
(+ 1 (* 1/6 (pow kx 2))) |
(* 1/6 (pow kx 2)) |
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2)))) |
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2)))) |
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2)))) |
(* 1/6 (pow kx 2)) |
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2)))) |
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2)))) |
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2)))) |
(sin th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))) |
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2)))) |
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2)))) |
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2)))) |
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))) |
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2)))) |
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2)))) |
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2)))) |
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) |
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2)) |
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))) (pow ky 2)) |
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* (sin th) (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/2 (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))))))) (pow ky 2)) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* -1/6 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))))) |
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))))))) |
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))))))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
1 |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2))))) |
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2))))) |
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2))))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2))))) |
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2))))) |
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2))))) |
(* -1/2 (/ (pow kx 2) (pow ky 2))) |
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2)) |
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2)) |
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))) (pow ky 2)) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow ky 2))) |
(/ (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2)))) (pow ky 2)) |
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (pow ky 2)) |
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2)) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* -1/2 (pow kx 2)) |
(* -1/2 (pow kx 2)) |
(* -1/2 (pow kx 2)) |
(* -1/2 (pow kx 2)) |
(* -1/2 (pow kx 2)) |
(* -1/2 (pow kx 2)) |
(* -1/2 (pow kx 2)) |
(* -1/2 (pow kx 2)) |
(* -1/2 (pow kx 2)) |
(* -1/2 (pow kx 2)) |
(* -1/2 (pow kx 2)) |
(* -1/2 (pow kx 2)) |
(/ (* ky (* th (+ 1 (* -1/6 (pow th 2))))) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (+ (* -1/12 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 2))) (* th (+ 1 (* -1/6 (pow th 2))))) |
(+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* ky th) |
(* ky (+ th (* -1/6 (* (pow ky 2) th)))) |
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th)))))) |
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th))))))) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
(* th (sin ky)) |
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 (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(/ (+ 1 (* -1/6 (pow th 2))) (sin kx)) |
(+ (* -1/2 (/ (* (pow ky 2) (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (pow th 2) (sin kx))) (/ 1 (sin kx)))) |
(+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ 1 (sin kx)))) |
(+ (* -1/6 (/ (pow th 2) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ 1 (sin kx)))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (+ 1 (* -1/6 (pow th 2))) (sin ky)) |
(+ (* -1/2 (/ (* (pow kx 2) (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 3))) (+ (* -1/6 (/ (pow th 2) (sin ky))) (/ 1 (sin ky)))) |
(+ (* -1/6 (/ (pow th 2) (sin ky))) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ 1 (sin ky)))) |
(+ (* -1/6 (/ (pow th 2) (sin ky))) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ 1 (sin ky)))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(sin kx) |
(* 1/6 (pow kx 2)) |
(* 1/6 (pow kx 2)) |
(* 1/6 (pow kx 2)) |
(* 1/6 (pow kx 2)) |
(* 1/6 (pow kx 2)) |
(* 1/6 (pow kx 2)) |
(* 1/6 (pow kx 2)) |
(* 1/6 (pow kx 2)) |
(* 1/6 (pow kx 2)) |
(* 1/6 (pow kx 2)) |
(* 1/6 (pow kx 2)) |
(* 1/6 (pow kx 2)) |
(pow ky 2) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(pow (sin ky) 2) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
| Outputs |
|---|
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(sin th) |
(sin.f64 th) |
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(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
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(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
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(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) |
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(sin th) |
(sin.f64 th) |
(/ (sin kx) ky) |
(/.f64 (sin.f64 kx) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky) |
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(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
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(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
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(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(sin kx) |
(sin.f64 kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.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 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 kx))))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (-.f64 (/.f64 #s(literal 2/45 binary64) (sin.f64 kx)) (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+.f64 (sin.f64 ky) (*.f64 #s(literal 1/2 binary64) (*.f64 kx (/.f64 kx (sin.f64 ky))))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx (/.f64 kx (sin.f64 ky)))))))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(* 1/6 (* kx (* (sin ky) (sin th)))) |
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2)))) |
(*.f64 kx (+.f64 (*.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (sin.f64 th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (*.f64 kx kx))))) |
(* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2)))) |
(*.f64 kx (+.f64 (*.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (sin.f64 th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (*.f64 kx kx))))) |
(* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2)))) |
(*.f64 kx (+.f64 (*.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (sin.f64 th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (*.f64 kx kx))))) |
(* 1/6 (* kx (* (sin ky) (sin th)))) |
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (sin.f64 th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (*.f64 kx kx)))) (neg.f64 kx)) |
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (sin.f64 th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (*.f64 kx kx)))) (neg.f64 kx)) |
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (sin.f64 th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (*.f64 kx kx)))) (neg.f64 kx)) |
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(*.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 ky kx)) |
(* ky (+ (* -1/6 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx))) |
(*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 ky ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 (sin.f64 th) kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx))) |
(*.f64 ky (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 (sin.f64 th) kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 ky ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx))) |
(*.f64 ky (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 (sin.f64 th) kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (*.f64 ky ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx))))))) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* th (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(* th (+ (* -1/6 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx))) |
(*.f64 th (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx))) |
(*.f64 th (+.f64 (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) (*.f64 (*.f64 th th) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx))))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx))) |
(*.f64 th (+.f64 (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) (*.f64 (*.f64 th th) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (*.f64 (*.f64 th th) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx) (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx))))))) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx) |
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx) |
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx) |
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(* 1/6 (* kx (sin ky))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) |
(* kx (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(*.f64 kx (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx)))) |
(* kx (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(*.f64 kx (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx)))) |
(* kx (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(*.f64 kx (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx)))) |
(* 1/6 (* kx (sin ky))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) |
(* -1 (* kx (+ (* -1 (/ (sin ky) (pow kx 2))) (* -1/6 (sin ky))))) |
(-.f64 #s(literal 0 binary64) (*.f64 kx (-.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx))))) |
(* -1 (* kx (+ (* -1 (/ (sin ky) (pow kx 2))) (* -1/6 (sin ky))))) |
(-.f64 #s(literal 0 binary64) (*.f64 kx (-.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx))))) |
(* -1 (* kx (+ (* -1 (/ (sin ky) (pow kx 2))) (* -1/6 (sin ky))))) |
(-.f64 #s(literal 0 binary64) (*.f64 kx (-.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx))))) |
(/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) |
(* ky (+ (* -1/6 (/ (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))) kx)) (+ (* 1/6 kx) (/ 1 kx)))) |
(*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) |
(* ky (+ (* 1/6 kx) (+ (* (pow ky 2) (+ (* -1/6 (/ (+ 1 (* 1/6 (pow kx 2))) kx)) (* 1/120 (/ (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))) kx)))) (/ 1 kx)))) |
(*.f64 ky (+.f64 (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/6 binary64) kx)) (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx))))) |
(* ky (+ (* 1/6 kx) (+ (* (pow ky 2) (+ (* -1/6 (/ (+ 1 (* 1/6 (pow kx 2))) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (+ 1 (* 1/6 (pow kx 2))) kx)))))) (/ 1 kx)))) |
(*.f64 ky (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/6 binary64) kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/120 binary64) kx))))))))) |
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx) |
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx) |
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx) |
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx) |
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx) |
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx) |
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx) |
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx) |
(/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) kx) |
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) |
(*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) |
(+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) |
(*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) |
(+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) |
(*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) |
(* 1/6 (* (pow kx 2) (sin ky))) |
(*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (sin.f64 ky)) |
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx)))) |
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx)))) |
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx)))) |
(* 1/6 (* (pow kx 2) (sin ky))) |
(*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (sin.f64 ky)) |
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx)))) |
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx)))) |
(* (pow kx 2) (+ (* 1/6 (sin ky)) (/ (sin ky) (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (+.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 kx kx)))) |
(* ky (+ 1 (* 1/6 (pow kx 2)))) |
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) |
(* ky (+ 1 (+ (* -1/6 (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2))))) (* 1/6 (pow kx 2))))) |
(*.f64 ky (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))))) |
(* ky (+ 1 (+ (* 1/6 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* 1/6 (pow kx 2)))) (* 1/120 (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2)))))))))) |
(*.f64 ky (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (*.f64 (*.f64 ky ky) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))) |
(* ky (+ 1 (+ (* 1/6 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* 1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* 1/6 (pow kx 2))))) (* 1/120 (+ 1 (* 1/6 (pow kx 2))))))))))) |
(*.f64 ky (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (*.f64 (*.f64 ky ky) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 ky ky))))))))) |
(* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) |
(*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) |
(* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) |
(*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) |
(* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) |
(*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) |
(* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) |
(*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) |
(* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) |
(*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) |
(* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) |
(*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) |
(* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) |
(*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) |
(* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) |
(*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow kx 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) |
(+ 1 (* 1/6 (pow kx 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) |
(+ 1 (* 1/6 (pow kx 2))) |
(+.f64 #s(literal 1 binary64) (*.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) (+ 1/6 (/ 1 (pow kx 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) |
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) |
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2)))) |
(+.f64 #s(literal 1 binary64) (*.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) (+ 1/6 (/ 1 (pow kx 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) |
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) |
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) |
(sin th) |
(sin.f64 th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (*.f64 kx kx)))) |
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (*.f64 kx kx)))) |
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (*.f64 kx kx)))) |
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (*.f64 kx kx)))) |
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (*.f64 kx kx)))) |
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2)))) |
(*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (*.f64 kx kx)))) |
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2)) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 (*.f64 (*.f64 ky ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) |
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))) (pow ky 2)) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (*.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))))) (*.f64 ky ky)) |
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* (sin th) (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/2 (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))))))) (pow ky 2)) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 (*.f64 ky ky) (sin.f64 th)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) |
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))) |
(*.f64 ky (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) th) (*.f64 (*.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))))))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* -1/6 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx))) (+ (* 1/12 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (+ (* -1/12 (* th (* (sin kx) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (+ (* -1/240 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin kx) 3))) (* -1/5040 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))))))))))))) (/ (* th (+ 1 (* -1/6 (pow th 2)))) (sin kx)))) |
(*.f64 ky (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx))))) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) th) (*.f64 (*.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) th) (*.f64 (*.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) th) (*.f64 (*.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (+.f64 (/.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal -1/5040 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))))))))))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky)))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky)))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))) (sin.f64 ky)))) |
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th (*.f64 th th)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 (*.f64 th (*.f64 th th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 th th))))) |
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 (*.f64 th (*.f64 th th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 th th))))) |
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 (*.f64 th (*.f64 th th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 th th))))) |
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th (*.f64 th th)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 th th)) (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 th (*.f64 th th)))) |
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 th th)) (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 th (*.f64 th th)))) |
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 th th)) (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 th (*.f64 th th)))) |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(+ (* -1/2 (/ (* (pow kx 2) (* th (+ 1 (* -1/6 (pow th 2))))) (pow (sin ky) 2))) (* th (+ 1 (* -1/6 (pow th 2))))) |
(+.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(+.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 th (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))) |
(+ (* th (+ 1 (* -1/6 (pow th 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* th (+ 1 (* -1/6 (pow th 2)))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))) |
(+.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) th) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) th) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (* th (* (sin ky) (+ 1 (* -1/6 (pow th 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* th (sin ky)) |
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ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
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(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
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(sin ky) |
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(* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
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(/ (+ 1 (* -1/6 (pow th 2))) (sin kx)) |
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(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky))) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 ky) (*.f64 kx kx)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))))))) |
(+ (* -1/6 (/ (pow th 2) (sin ky))) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow th 2))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (+ 1 (* -1/6 (pow th 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ 1 (sin ky)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky))) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(* (+ 1 (* -1/6 (pow th 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)))))) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))))))) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(* 1/6 (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)) |
(* 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)) |
(* 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 ky 2) |
(*.f64 ky ky) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/3 binary64)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)))))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/315 binary64)))))))) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
Compiled 25846 to 2657 computations (89.7% saved)
68 alts after pruning (61 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1074 | 31 | 1105 |
| Fresh | 12 | 30 | 42 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1088 | 68 | 1156 |
| Status | Accuracy | Program |
|---|---|---|
| 2.6% | (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) | |
| 93.5% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| 17.3% | (/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)) | |
| 26.2% | (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) | |
| ✓ | 99.7% | (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
| 57.5% | (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) | |
| 14.8% | (/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) | |
| 75.5% | (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) (sin.f64 ky))) | |
| 29.4% | (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) | |
| ▶ | 99.6% | (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
| 37.0% | (/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) | |
| 99.5% | (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) | |
| 49.2% | (/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) | |
| 92.8% | (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) | |
| 31.5% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) | |
| 28.5% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) | |
| 30.1% | (*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))) | |
| 30.0% | (*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (sin.f64 kx)) (sin.f64 th)) | |
| 3.3% | (*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) | |
| 18.6% | (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th)) | |
| 20.4% | (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th)) | |
| 22.0% | (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th)) | |
| 14.9% | (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) | |
| 10.9% | (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) | |
| 11.1% | (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) | |
| 13.7% | (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) | |
| 28.9% | (*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) | |
| 15.7% | (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (sin.f64 kx)) (sin.f64 th)) | |
| ✓ | 99.7% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
| 49.2% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) | |
| 57.5% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) | |
| ▶ | 57.0% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) |
| ✓ | 32.0% | (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
| 21.2% | (*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) | |
| 31.8% | (*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th)) | |
| 28.6% | (*.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th)) | |
| ▶ | 29.4% | (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
| 31.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) | |
| 28.7% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) | |
| 31.1% | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) | |
| 30.0% | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th)) | |
| 13.5% | (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) | |
| 14.9% | (*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th)) | |
| 11.0% | (*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) | |
| 28.7% | (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) | |
| ✓ | 42.7% | (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| 26.2% | (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx))) | |
| 23.8% | (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx)))) | |
| 35.7% | (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))) | |
| 21.3% | (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))) | |
| 16.7% | (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) | |
| 15.4% | (*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) | |
| 13.2% | (*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th)) | |
| 13.9% | (*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) | |
| 9.0% | (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th)) | |
| 32.3% | (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx))) | |
| 29.9% | (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx)))) | |
| 35.8% | (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))))))) | |
| 15.5% | (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky))) | |
| ✓ | 99.6% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| ▶ | 33.8% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) |
| 32.0% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) | |
| 49.1% | (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| 31.9% | (*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) | |
| ▶ | 15.5% | (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
| 18.7% | (*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) | |
| ✓ | 33.9% | (sin.f64 th) |
| ✓ | 15.9% | th |
Compiled 2221 to 1528 computations (31.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (hypot.f64 kx (sin.f64 ky)) |
| ✓ | cost-diff | 0 | (sin.f64 ky) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) |
| ✓ | cost-diff | 0 | (sin.f64 th) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 th) (sin.f64 ky)) |
| ✓ | cost-diff | 0 | (sin.f64 ky) |
| ✓ | cost-diff | 13056 | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) |
| ✓ | cost-diff | 0 | (sin.f64 th) |
| ✓ | cost-diff | 0 | (sin.f64 kx) |
| ✓ | cost-diff | 0 | (/.f64 ky (sin.f64 kx)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
| ✓ | cost-diff | 0 | (*.f64 th th) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
| ✓ | cost-diff | 0 | (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| ✓ | cost-diff | 0 | (sin.f64 th) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| ✓ | cost-diff | 128 | (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
| 5326× | *-lowering-*.f32 |
| 5326× | *-lowering-*.f64 |
| 3174× | /-lowering-/.f32 |
| 3174× | /-lowering-/.f64 |
| 2118× | cube-prod |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 130 |
| 1 | 60 | 127 |
| 2 | 104 | 124 |
| 3 | 165 | 124 |
| 4 | 204 | 124 |
| 5 | 270 | 124 |
| 6 | 517 | 124 |
| 7 | 1631 | 124 |
| 8 | 1958 | 124 |
| 9 | 2321 | 124 |
| 10 | 2473 | 124 |
| 11 | 2544 | 124 |
| 12 | 2660 | 124 |
| 13 | 2807 | 124 |
| 14 | 2991 | 124 |
| 15 | 3740 | 124 |
| 16 | 4144 | 124 |
| 17 | 4665 | 124 |
| 18 | 5254 | 124 |
| 19 | 5516 | 124 |
| 20 | 5598 | 124 |
| 21 | 5624 | 124 |
| 22 | 5629 | 124 |
| 23 | 6894 | 124 |
| 24 | 7988 | 124 |
| 0 | 8016 | 124 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin th) (/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))) |
(sin th) |
th |
(/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
1 |
(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) |
(sin ky) |
ky |
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) |
(sin kx) |
kx |
(* th (+ 1 (* -1/6 (* th th)))) |
th |
(+ 1 (* -1/6 (* th th))) |
1 |
(* -1/6 (* th th)) |
-1/6 |
(* th th) |
(* (/ ky (sin kx)) (sin th)) |
(/ ky (sin kx)) |
ky |
(sin kx) |
kx |
(sin th) |
th |
(* (sin ky) (/ (sin th) (sin ky))) |
(sin ky) |
ky |
(/ (sin th) (sin ky)) |
(sin th) |
th |
(* (/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))) (sin th)) |
(/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))) |
(sin ky) |
ky |
(sqrt (+ (* kx kx) (* (sin ky) (sin ky)))) |
kx |
(sin th) |
th |
| Outputs |
|---|
(/ (sin th) (/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))) |
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(sin th) |
(sin.f64 th) |
th |
(/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
1 |
#s(literal 1 binary64) |
(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin ky) |
(sin.f64 ky) |
ky |
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin kx) |
(sin.f64 kx) |
kx |
(* th (+ 1 (* -1/6 (* th th)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) |
th |
(+ 1 (* -1/6 (* th th))) |
(+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) |
1 |
#s(literal 1 binary64) |
(* -1/6 (* th th)) |
(*.f64 th (*.f64 th #s(literal -1/6 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(* th th) |
(*.f64 th th) |
(* (/ ky (sin kx)) (sin th)) |
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
ky |
(sin kx) |
(sin.f64 kx) |
kx |
(sin th) |
(sin.f64 th) |
th |
(* (sin ky) (/ (sin th) (sin ky))) |
(sin.f64 th) |
(sin ky) |
(sin.f64 ky) |
ky |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(sin th) |
(sin.f64 th) |
th |
(* (/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))) (sin th)) |
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) |
(/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) |
(sin ky) |
(sin.f64 ky) |
ky |
(sqrt (+ (* kx kx) (* (sin ky) (sin ky)))) |
(hypot.f64 (sin.f64 ky) kx) |
kx |
(sin th) |
(sin.f64 th) |
th |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 th) |
| ✓ | accuracy | 100.0% | (sin.f64 ky) |
| ✓ | accuracy | 99.9% | (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) |
| ✓ | accuracy | 100.0% | (sin.f64 th) |
| ✓ | accuracy | 100.0% | (sin.f64 ky) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 th) (sin.f64 ky)) |
| ✓ | accuracy | 99.6% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) |
| ✓ | accuracy | 100.0% | (sin.f64 th) |
| ✓ | accuracy | 100.0% | (sin.f64 kx) |
| ✓ | accuracy | 99.8% | (/.f64 ky (sin.f64 kx)) |
| ✓ | accuracy | 97.4% | (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
| ✓ | accuracy | 100.0% | (*.f64 th th) |
| ✓ | accuracy | 99.9% | (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
| ✓ | accuracy | 99.9% | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| 122.0ms | 256× | 0 | valid |
Compiled 142 to 24 computations (83.1% saved)
ival-mult: 20.0ms (26% of total)ival-sin: 20.0ms (26% of total)compiled-spec: 15.0ms (19.5% of total)ival-div: 9.0ms (11.7% of total)ival-add: 4.0ms (5.2% of total)ival-sqrt: 4.0ms (5.2% of total)...c/correct-round.rkt:119:19: 4.0ms (5.2% of total)const: 1.0ms (1.3% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (sin th) (/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))))> |
#<alt (/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))> |
#<alt (sin th)> |
#<alt (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))> |
#<alt (* th (+ 1 (* -1/6 (* th th))))> |
#<alt (+ 1 (* -1/6 (* th th)))> |
#<alt (* -1/6 (* th th))> |
#<alt (* th th)> |
#<alt (* (/ ky (sin kx)) (sin th))> |
#<alt (/ ky (sin kx))> |
#<alt (sin kx)> |
#<alt (* (sin ky) (/ (sin th) (sin ky)))> |
#<alt (sin ky)> |
#<alt (/ (sin th) (sin ky))> |
#<alt (* (/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))) (sin th))> |
#<alt (/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky)))))> |
#<alt (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))> |
#<alt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))> |
| Outputs |
|---|
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (sin th)> |
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (/ (sin kx) ky)> |
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)> |
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)> |
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))> |
#<alt (+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))> |
#<alt th> |
#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))> |
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (/ ky (sin kx))> |
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))> |
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))> |
#<alt th> |
#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* -1/6 (pow th 3))> |
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* -1/6 (pow th 3))> |
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))> |
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))> |
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow th 2)))> |
#<alt (+ 1 (* -1/6 (pow th 2)))> |
#<alt (+ 1 (* -1/6 (pow th 2)))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (* -1/6 (pow th 2))> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (pow th 2)> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) kx)> |
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)> |
#<alt (/ (+ (* ky (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)> |
#<alt (/ (+ (* ky (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (sin th))) (+ (* 1/720 (* ky (sin th))) (* 1/6 (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th))))))))) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky th) (sin kx))> |
#<alt (* th (+ (* -1/6 (/ (* ky (pow th 2)) (sin kx))) (/ ky (sin kx))))> |
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* 1/120 (/ (* ky (pow th 2)) (sin kx))))) (/ ky (sin kx))))> |
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (sin kx))) (* 1/120 (/ ky (sin kx))))))) (/ ky (sin kx))))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ (* ky (sin th)) (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky kx)> |
#<alt (/ (+ ky (* 1/6 (* (pow kx 2) ky))) kx)> |
#<alt (/ (+ ky (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)> |
#<alt (/ (+ ky (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 ky) (+ (* 1/720 ky) (* 1/6 (+ (* -1/36 ky) (* 1/120 ky))))))) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin kx))> |
#<alt (/ ky (sin 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 (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt th> |
#<alt (* th (+ 1 (* -1/6 (pow th 2))))> |
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))> |
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt (sin th)> |
#<alt ky> |
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))> |
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))> |
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (sin ky)> |
#<alt (/ th (sin ky))> |
#<alt (* th (+ (* -1/6 (/ (pow th 2) (sin ky))) (/ 1 (sin ky))))> |
#<alt (* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (sin ky))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))> |
#<alt (* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (sin ky))) (* 1/120 (/ 1 (sin ky))))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (/ (sin th) ky)> |
#<alt (/ (+ (sin th) (* 1/6 (* (pow ky 2) (sin th)))) ky)> |
#<alt (/ (+ (sin th) (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) ky)> |
#<alt (/ (+ (sin th) (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/5040 (sin th)) (+ (* 1/720 (sin th)) (* 1/6 (+ (* -1/36 (sin th)) (* 1/120 (sin th)))))))) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) ky)> |
#<alt (/ (sin th) (sin ky))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (/ (sin th) (sin ky))> |
#<alt (/ (* ky (sin th)) kx)> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))> |
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (sin th)> |
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))> |
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))> |
#<alt (/ (* (sin ky) (sin th)) kx)> |
#<alt (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)> |
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)> |
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)> |
#<alt (* -1 (/ (* (sin ky) (sin th)) kx))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx))> |
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))> |
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (/ ky kx)> |
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))> |
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))) (* -1/12 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))> |
#<alt (+ 1 (* (pow kx 2) (- (* 3/8 (/ (pow kx 2) (pow (sin ky) 4))) (* 1/2 (/ 1 (pow (sin ky) 2))))))> |
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -5/16 (/ (pow kx 2) (pow (sin ky) 6))) (* 3/8 (/ 1 (pow (sin ky) 4))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))> |
#<alt (/ (sin ky) kx)> |
#<alt (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx)> |
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx)> |
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx)> |
#<alt (* -1 (/ (sin ky) kx))> |
#<alt (* -1 (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx))> |
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx))> |
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx))> |
#<alt (sin ky)> |
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt kx> |
#<alt (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))> |
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))> |
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))> |
#<alt (* -1 kx)> |
#<alt (* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))> |
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))> |
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))> |
#<alt kx> |
#<alt (+ kx (* 1/2 (/ (pow ky 2) kx)))> |
#<alt (+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))> |
#<alt (+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))> |
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))> |
#<alt (sin kx)> |
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sin ky)> |
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | th | @ | -inf | (/ (sin th) (sin ky)) |
| 2.0ms | th | @ | 0 | (* (/ ky (sin kx)) (sin th)) |
| 2.0ms | ky | @ | 0 | (* (/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))) (sin th)) |
| 1.0ms | ky | @ | inf | (* (/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))) (sin th)) |
| 1.0ms | ky | @ | -inf | (* (/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))) (sin th)) |
| 1× | batch-egg-rewrite |
| 4040× | /-lowering-/.f32 |
| 4040× | /-lowering-/.f64 |
| 4032× | *-lowering-*.f32 |
| 4032× | *-lowering-*.f64 |
| 1564× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 103 |
| 1 | 162 | 99 |
| 2 | 1205 | 97 |
| 0 | 8497 | 97 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin th) (/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))) |
(/ 1 (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
(sin th) |
(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) |
(* th (+ 1 (* -1/6 (* th th)))) |
(+ 1 (* -1/6 (* th th))) |
(* -1/6 (* th th)) |
(* th th) |
(* (/ ky (sin kx)) (sin th)) |
(/ ky (sin kx)) |
(sin kx) |
(* (sin ky) (/ (sin th) (sin ky))) |
(sin ky) |
(/ (sin th) (sin ky)) |
(* (/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))) (sin th)) |
(/ (sin ky) (sqrt (+ (* kx kx) (* (sin ky) (sin ky))))) |
(sqrt (+ (* kx kx) (* (sin ky) (sin ky)))) |
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) |
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th)) (*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th)) (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))) |
(/.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (-.f64 #s(literal 0 binary64) (sin.f64 th))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (-.f64 #s(literal 0 binary64) (sin.f64 th))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (sin.f64 th)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))) |
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(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 th) #s(literal -1 binary64))) |
(sin.f64 th) |
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) |
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(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64))) |
(sin.f64 kx) |
(pow.f64 (sin.f64 kx) #s(literal 1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)))) |
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(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) |
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(sin.f64 ky) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))) |
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(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) |
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(pow.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
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(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th)))) |
(/.f64 (sin.f64 ky) (*.f64 (hypot.f64 (sin.f64 ky) kx) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(/.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) kx))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 th) (sin.f64 ky))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (*.f64 (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx))) |
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx))) |
(/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx))) |
(/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (*.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal -1 binary64))) |
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th)) (*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (*.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)) #s(literal -1 binary64))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)))) |
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx))))) |
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 th))) (*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (sin.f64 th)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky))) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))) |
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(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky)))) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th))) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)))) |
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) kx) #s(literal 1 binary64)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)))) |
(*.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)))) |
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(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 ky)) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) #s(literal -1 binary64))) |
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(neg.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) kx))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) kx)))) |
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(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) kx) (sin.f64 ky))))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 ky)) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (-.f64 (+.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) |
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(hypot.f64 (sin.f64 ky) kx) |
(hypot.f64 kx (sin.f64 ky)) |
(sqrt.f64 (-.f64 (+.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 kx (*.f64 kx (*.f64 kx kx))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (*.f64 kx kx))))) (hypot.f64 (*.f64 kx (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) |
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(pow.f64 (-.f64 (+.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 (+.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 (+.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 (+.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
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(*.f64 (sqrt.f64 (-.f64 (*.f64 kx (*.f64 kx (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (-.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (-.f64 (+.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (+.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)) |
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(pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) |
(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64)) |
(*.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.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 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))))) |
(*.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.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 kx #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.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 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 9534× | *-lowering-*.f32 |
| 9534× | *-lowering-*.f64 |
| 5244× | +-lowering-+.f64 |
| 5244× | +-lowering-+.f32 |
| 1690× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 767 | 5663 |
| 1 | 2722 | 5303 |
| 0 | 9251 | 5303 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(sin th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (sin kx) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
1 |
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(/ ky (sin kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
1 |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(* -1/6 (pow th 3)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(* -1/6 (pow th 3)) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
1 |
(+ 1 (* -1/6 (pow th 2))) |
(+ 1 (* -1/6 (pow th 2))) |
(+ 1 (* -1/6 (pow th 2))) |
(* -1/6 (pow th 2)) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(* -1/6 (pow th 2)) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(* -1/6 (pow th 2)) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(pow th 2) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) kx) |
(/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx) |
(/ (+ (* ky (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx) |
(/ (+ (* ky (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (sin th))) (+ (* 1/720 (* ky (sin th))) (* 1/6 (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th))))))))) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky th) (sin kx)) |
(* th (+ (* -1/6 (/ (* ky (pow th 2)) (sin kx))) (/ ky (sin kx)))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* 1/120 (/ (* ky (pow th 2)) (sin kx))))) (/ ky (sin kx)))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (sin kx))) (* 1/120 (/ ky (sin kx))))))) (/ ky (sin kx)))) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/ ky (sin kx)) |
(/ ky (sin kx)) |
(/ ky (sin kx)) |
(/ ky (sin kx)) |
(/ ky (sin kx)) |
(/ ky (sin kx)) |
(/ ky (sin kx)) |
(/ ky (sin kx)) |
(/ ky (sin kx)) |
(/ ky (sin kx)) |
(/ ky (sin kx)) |
(/ ky (sin kx)) |
(/ ky kx) |
(/ (+ ky (* 1/6 (* (pow kx 2) ky))) kx) |
(/ (+ ky (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx) |
(/ (+ ky (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 ky) (+ (* 1/720 ky) (* 1/6 (+ (* -1/36 ky) (* 1/120 ky))))))) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx) |
(/ ky (sin kx)) |
(/ ky (sin kx)) |
(/ ky (sin kx)) |
(/ ky (sin kx)) |
(/ ky (sin kx)) |
(/ ky (sin kx)) |
(/ ky (sin kx)) |
(/ ky (sin 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) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
(sin th) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(sin ky) |
(/ th (sin ky)) |
(* th (+ (* -1/6 (/ (pow th 2) (sin ky))) (/ 1 (sin ky)))) |
(* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (sin ky))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky)))) |
(* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (sin ky))) (* 1/120 (/ 1 (sin ky))))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky)))) |
(/ (sin th) (sin ky)) |
(/ (sin th) (sin ky)) |
(/ (sin th) (sin ky)) |
(/ (sin th) (sin ky)) |
(/ (sin th) (sin ky)) |
(/ (sin th) (sin ky)) |
(/ (sin th) (sin ky)) |
(/ (sin th) (sin ky)) |
(/ (sin th) ky) |
(/ (+ (sin th) (* 1/6 (* (pow ky 2) (sin th)))) ky) |
(/ (+ (sin th) (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) ky) |
(/ (+ (sin th) (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/5040 (sin th)) (+ (* 1/720 (sin th)) (* 1/6 (+ (* -1/36 (sin th)) (* 1/120 (sin th)))))))) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) ky) |
(/ (sin th) (sin ky)) |
(/ (sin th) (sin ky)) |
(/ (sin th) (sin ky)) |
(/ (sin th) (sin ky)) |
(/ (sin th) (sin ky)) |
(/ (sin th) (sin ky)) |
(/ (sin th) (sin ky)) |
(/ (sin th) (sin ky)) |
(/ (* ky (sin th)) kx) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(sin th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4)))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4)))))))) |
(/ (* (sin ky) (sin th)) kx) |
(/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx) |
(* -1 (/ (* (sin ky) (sin th)) kx)) |
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(/ ky kx) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))) (* -1/12 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx))) |
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
1 |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* (pow kx 2) (- (* 3/8 (/ (pow kx 2) (pow (sin ky) 4))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -5/16 (/ (pow kx 2) (pow (sin ky) 6))) (* 3/8 (/ 1 (pow (sin ky) 4))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(/ (sin ky) kx) |
(/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx) |
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx) |
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx) |
(* -1 (/ (sin ky) kx)) |
(* -1 (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx)) |
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx)) |
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx)) |
(sin ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky)))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky)))))) |
kx |
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))) |
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))) |
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))) |
(* -1 kx) |
(* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))) |
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))) |
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))) |
kx |
(+ kx (* 1/2 (/ (pow ky 2) kx))) |
(+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx))))) |
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx))))) |
(sqrt (+ (pow kx 2) (pow (sin ky) 2))) |
(sqrt (+ (pow kx 2) (pow (sin ky) 2))) |
(sqrt (+ (pow kx 2) (pow (sin ky) 2))) |
(sqrt (+ (pow kx 2) (pow (sin ky) 2))) |
(sqrt (+ (pow kx 2) (pow (sin ky) 2))) |
(sqrt (+ (pow kx 2) (pow (sin ky) 2))) |
(sqrt (+ (pow kx 2) (pow (sin ky) 2))) |
(sqrt (+ (pow kx 2) (pow (sin ky) 2))) |
(sin kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sin ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
| Outputs |
|---|
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky)) (sin.f64 ky)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 (*.f64 (*.f64 th th) #s(literal 1/120 binary64)) (sin.f64 ky))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(*.f64 th (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky)) (sin.f64 ky))) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(sin th) |
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(/ (sin kx) ky) |
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1 |
#s(literal 1 binary64) |
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(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (-.f64 (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) #s(literal 1/2 binary64))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (-.f64 (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) (*.f64 (sin.f64 kx) #s(literal -1/2 binary64))) (-.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx))) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))) (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(* -1/6 (pow th 3)) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(* -1/6 (pow th 3)) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))) (neg.f64 (*.f64 th (*.f64 th th)))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))) (neg.f64 (*.f64 th (*.f64 th th)))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))) (neg.f64 (*.f64 th (*.f64 th th)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow th 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(+ 1 (* -1/6 (pow th 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(+ 1 (* -1/6 (pow th 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(* -1/6 (pow th 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(pow th 2) |
(*.f64 th th) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) kx) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) |
(/ (+ (* ky (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx) |
(/.f64 (+.f64 (*.f64 ky (sin.f64 th)) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (*.f64 (*.f64 ky (sin.f64 th)) #s(literal 7/360 binary64))) (*.f64 (*.f64 ky (sin.f64 th)) #s(literal 1/6 binary64))))) kx) |
(/ (+ (* ky (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (sin th))) (+ (* 1/720 (* ky (sin th))) (* 1/6 (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th))))))))) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx) |
(/.f64 (+.f64 (*.f64 ky (sin.f64 th)) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 ky (sin.f64 th)) #s(literal 1/840 binary64)) (*.f64 (*.f64 ky (sin.f64 th)) #s(literal -7/2160 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky (sin.f64 th)) #s(literal 7/360 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) #s(literal 1/6 binary64))))) kx) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky th) (sin kx)) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(* th (+ (* -1/6 (/ (* ky (pow th 2)) (sin kx))) (/ ky (sin kx)))) |
(*.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) ky) (sin.f64 kx)))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* 1/120 (/ (* ky (pow th 2)) (sin kx))))) (/ ky (sin kx)))) |
(*.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (*.f64 (*.f64 th th) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 ky (sin.f64 kx))) (/.f64 (*.f64 (*.f64 (*.f64 th th) #s(literal 1/120 binary64)) ky) (sin.f64 kx)))))) |
(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (sin kx))) (* 1/120 (/ ky (sin kx))))))) (/ ky (sin kx)))) |
(*.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (*.f64 (*.f64 th th) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 ky (sin.f64 kx))) (*.f64 (*.f64 th th) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)) ky) (sin.f64 kx)) (/.f64 (*.f64 ky #s(literal 1/120 binary64)) (sin.f64 kx)))))))) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky kx) |
(/.f64 ky kx) |
(/ (+ ky (* 1/6 (* (pow kx 2) ky))) kx) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) |
(/ (+ ky (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx) |
(/.f64 (+.f64 ky (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (*.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) |
(/ (+ ky (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 ky) (+ (* 1/720 ky) (* 1/6 (+ (* -1/36 ky) (* 1/120 ky))))))) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx) |
(/.f64 (+.f64 ky (*.f64 (*.f64 kx kx) (+.f64 (*.f64 kx (*.f64 kx (neg.f64 (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (*.f64 ky #s(literal 1/840 binary64)) (*.f64 ky #s(literal -7/2160 binary64)))) (*.f64 ky #s(literal -7/360 binary64)))))) (*.f64 ky #s(literal 1/6 binary64))))) kx) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)))))) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64))))) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin kx) |
(sin.f64 kx) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64))))) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
(sin th) |
(sin.f64 th) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky (+.f64 (*.f64 ky (*.f64 ky #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 ky ky)))) #s(literal -1/6 binary64))))) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(sin ky) |
(sin.f64 ky) |
(/ th (sin ky)) |
(/.f64 th (sin.f64 ky)) |
(* th (+ (* -1/6 (/ (pow th 2) (sin ky))) (/ 1 (sin ky)))) |
(*.f64 th (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky)))) |
(* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (sin ky))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky)))) |
(*.f64 th (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (*.f64 th th) (+.f64 (/.f64 (*.f64 (*.f64 th th) #s(literal 1/120 binary64)) (sin.f64 ky)) (/.f64 #s(literal -1/6 binary64) (sin.f64 ky)))))) |
(* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (sin ky))) (* 1/120 (/ 1 (sin ky))))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky)))) |
(*.f64 th (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 (/.f64 (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)) (sin.f64 ky)) (/.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (/.f64 #s(literal -1/6 binary64) (sin.f64 ky)))))) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(/ (sin th) ky) |
(/.f64 (sin.f64 th) ky) |
(/ (+ (sin th) (* 1/6 (* (pow ky 2) (sin th)))) ky) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky) |
(/ (+ (sin th) (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) ky) |
(/.f64 (+.f64 (sin.f64 th) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (*.f64 ky ky) (*.f64 (sin.f64 th) #s(literal 7/360 binary64))) (*.f64 (sin.f64 th) #s(literal 1/6 binary64))))) ky) |
(/ (+ (sin th) (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/5040 (sin th)) (+ (* 1/720 (sin th)) (* 1/6 (+ (* -1/36 (sin th)) (* 1/120 (sin th)))))))) (+ (* -1/36 (sin th)) (* 1/120 (sin th))))) (* -1/6 (sin th))))) ky) |
(/.f64 (+.f64 (sin.f64 th) (*.f64 ky (*.f64 ky (+.f64 (*.f64 (*.f64 ky ky) (neg.f64 (+.f64 (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (sin.f64 th) #s(literal 1/840 binary64)) (*.f64 (sin.f64 th) #s(literal -7/2160 binary64)))) (*.f64 (sin.f64 th) #s(literal -7/360 binary64))))) (*.f64 (sin.f64 th) #s(literal 1/6 binary64)))))) ky) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(/ (* ky (sin th)) kx) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) kx) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx (sin.f64 th))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))))))))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx))) |
(*.f64 ky (+.f64 (/.f64 (sin.f64 th) kx) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) kx) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx (sin.f64 th))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))))) (*.f64 ky (*.f64 ky (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64)))))) (*.f64 (sin.f64 th) kx))) (+.f64 (/.f64 (*.f64 #s(literal -1/240 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) kx) (*.f64 (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (*.f64 kx #s(literal -1/12 binary64)))))))))))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(sin th) |
(sin.f64 th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4)))))) |
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4)))))))) |
(+.f64 (sin.f64 th) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 kx kx)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))))) |
(/ (* (sin ky) (sin th)) kx) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) |
(/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx) |
(/.f64 (+.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 kx kx))) kx) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx) |
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sin.f64 ky) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 #s(literal -3/4 binary64) (sin.f64 th))) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 (/.f64 (sin.f64 th) kx) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) kx)))) (*.f64 (sin.f64 ky) (sin.f64 th))) kx) |
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sin.f64 ky) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 #s(literal -3/4 binary64) (sin.f64 th))) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 (/.f64 (sin.f64 th) kx) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) kx)))) (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (pow.f64 kx #s(literal 6 binary64)))) kx) |
(* -1 (/ (* (sin ky) (sin th)) kx)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 0 binary64) kx)) |
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)) |
(/.f64 (+.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sin.f64 ky) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 #s(literal -3/4 binary64) (sin.f64 th))) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 (/.f64 (sin.f64 th) kx) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) kx)))) (*.f64 (sin.f64 ky) (sin.f64 th))) (-.f64 #s(literal 0 binary64) kx)) |
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)) |
(/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sin.f64 ky) (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 #s(literal -3/4 binary64) (sin.f64 th))) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 (/.f64 (sin.f64 th) kx) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) kx)))) (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (pow.f64 kx #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) kx)) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))) |
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))) (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky)) (sin.f64 ky)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))) |
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 (*.f64 (*.f64 th th) #s(literal 1/120 binary64)) (sin.f64 ky))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))))) |
(*.f64 th (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))) (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky)) (sin.f64 ky))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)))) (+.f64 (*.f64 (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 th th) (*.f64 th th))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(/ ky kx) |
(/.f64 ky kx) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx))) |
(*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx))) |
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (-.f64 (*.f64 (*.f64 ky ky) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 kx #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/120 binary64) kx)))) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))) (* -1/12 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx))) |
(*.f64 ky (+.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (-.f64 (*.f64 ky (*.f64 ky (+.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 kx #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 kx (*.f64 kx kx))) (/.f64 #s(literal 1/120 binary64) kx))) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64)))))))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 kx #s(literal -1/12 binary64))) (+.f64 (/.f64 #s(literal 1/5040 binary64) kx) (/.f64 #s(literal 1/240 binary64) (*.f64 kx (*.f64 kx kx)))))))))) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) |
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+ 1 (* (pow kx 2) (- (* 3/8 (/ (pow kx 2) (pow (sin ky) 4))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -5/16 (/ (pow kx 2) (pow (sin ky) 6))) (* 3/8 (/ 1 (pow (sin ky) 4))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(/ (sin ky) kx) |
(/.f64 (sin.f64 ky) kx) |
(/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx) |
(/.f64 (+.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 kx kx))) kx) |
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx) |
(/.f64 (+.f64 (sin.f64 ky) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (*.f64 kx kx))))) kx) |
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx) |
(/.f64 (+.f64 (sin.f64 ky) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (pow.f64 (sin.f64 ky) #s(literal 7 binary64))) (pow.f64 kx #s(literal 6 binary64))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (*.f64 kx kx)))))) kx) |
(* -1 (/ (sin ky) kx)) |
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 ky) kx)) |
(* -1 (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx)) |
(/.f64 (+.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 kx kx))) (-.f64 #s(literal 0 binary64) kx)) |
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx)) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sin.f64 ky) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (*.f64 kx kx))))) kx)) |
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx)) |
(/.f64 (+.f64 (sin.f64 ky) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (pow.f64 (sin.f64 ky) #s(literal 7 binary64))) (pow.f64 kx #s(literal 6 binary64))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (*.f64 kx kx)))))) (-.f64 #s(literal 0 binary64) kx)) |
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky)))))) |
(+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky)))))) |
(+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))))) |
kx |
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))) |
(*.f64 kx (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx)))) |
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))) |
(*.f64 kx (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64)))) |
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))) |
(*.f64 kx (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx))))) |
(* -1 kx) |
(-.f64 #s(literal 0 binary64) kx) |
(* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 kx (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx))))) |
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))) |
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) kx)) |
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx)))) (-.f64 #s(literal 0 binary64) kx)) |
kx |
(+ kx (* 1/2 (/ (pow ky 2) kx))) |
(+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx)) |
(+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx))))) |
(+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx)))) |
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx))))) |
(+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx)))) kx) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))) (*.f64 kx kx))))) kx)))))) |
(sqrt (+ (pow kx 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) kx) |
(sqrt (+ (pow kx 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) kx) |
(sqrt (+ (pow kx 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) kx) |
(sqrt (+ (pow kx 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) kx) |
(sqrt (+ (pow kx 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) kx) |
(sqrt (+ (pow kx 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) kx) |
(sqrt (+ (pow kx 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) kx) |
(sqrt (+ (pow kx 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) kx) |
(sin kx) |
(sin.f64 kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+.f64 (sin.f64 kx) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) (sin.f64 kx))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(+.f64 (sin.f64 kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+.f64 (sin.f64 ky) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+.f64 (sin.f64 ky) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(+.f64 (sin.f64 ky) (*.f64 kx (*.f64 kx (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 (*.f64 kx kx) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 ky)))))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
Compiled 21830 to 2756 computations (87.4% saved)
102 alts after pruning (91 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1196 | 49 | 1245 |
| Fresh | 14 | 42 | 56 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1211 | 102 | 1313 |
| Status | Accuracy | Program |
|---|---|---|
| 7.4% | (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) | |
| 99.5% | (/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) | |
| 13.7% | (/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky))) | |
| 10.5% | (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) | |
| 14.8% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) | |
| 2.6% | (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) | |
| 93.5% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| 39.6% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) | |
| 26.2% | (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) | |
| 17.3% | (/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)) | |
| 15.9% | (/.f64 (*.f64 th ky) (sin.f64 kx)) | |
| 17.3% | (/.f64 (*.f64 ky (sin.f64 th)) kx) | |
| ✓ | 99.7% | (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
| 57.5% | (/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) | |
| 14.8% | (/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) | |
| 75.5% | (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) (sin.f64 ky))) | |
| ✓ | 99.6% | (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
| 99.5% | (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) | |
| 33.8% | (/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th))) | |
| 49.2% | (/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) | |
| 49.2% | (/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) | |
| 92.8% | (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) | |
| 50.8% | (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))) | |
| 33.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))) | |
| 31.5% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) | |
| 15.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) | |
| 39.5% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)))) | |
| 14.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) | |
| 15.0% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) | |
| 28.5% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) | |
| 33.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) | |
| 30.1% | (*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))) | |
| 3.3% | (*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) | |
| 18.6% | (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th)) | |
| 20.4% | (*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th)) | |
| 14.9% | (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) | |
| 11.1% | (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) | |
| 13.7% | (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) | |
| 28.9% | (*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) | |
| 15.7% | (*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (sin.f64 kx)) (sin.f64 th)) | |
| ✓ | 99.7% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
| 49.2% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) | |
| 57.5% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) | |
| 32.1% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) | |
| ✓ | 57.0% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) |
| 33.2% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) | |
| 36.6% | (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th)) | |
| 20.9% | (*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th)) | |
| 17.9% | (*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th)) | |
| ✓ | 32.0% | (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
| 21.2% | (*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) | |
| 31.8% | (*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th)) | |
| 28.6% | (*.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th)) | |
| 20.3% | (*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) | |
| 20.3% | (*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) | |
| 20.1% | (*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) | |
| 29.4% | (*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))) | |
| 18.7% | (*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) | |
| ✓ | 29.4% | (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
| 20.5% | (*.f64 (/.f64 ky kx) (sin.f64 th)) | |
| 31.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) | |
| 33.7% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky))) | |
| 28.7% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) | |
| 15.7% | (*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) | |
| 31.1% | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) | |
| 15.5% | (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) | |
| 13.5% | (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) | |
| 39.5% | (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) | |
| 26.2% | (*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) | |
| 11.0% | (*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) | |
| ✓ | 42.7% | (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| 26.2% | (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx))) | |
| 23.8% | (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx)))) | |
| 35.7% | (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))) | |
| 16.7% | (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) | |
| 16.3% | (*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th)) | |
| 13.2% | (*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th)) | |
| 13.9% | (*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) | |
| 9.0% | (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th)) | |
| 20.4% | (*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky)) | |
| 32.3% | (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx))) | |
| 29.9% | (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx)))) | |
| 35.8% | (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))))))) | |
| ✓ | 99.6% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| ✓ | 33.8% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) |
| 32.0% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) | |
| 20.8% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) | |
| 49.1% | (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| 33.7% | (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th)))) | |
| 33.7% | (*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th))) | |
| 31.9% | (*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) | |
| 15.0% | (*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) | |
| 14.7% | (*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) | |
| 15.5% | (*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) | |
| 15.5% | (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))) | |
| 15.0% | (*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) | |
| 8.0% | (*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) | |
| 11.8% | (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) | |
| 20.7% | (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky))) | |
| 29.4% | (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) | |
| ✓ | 33.9% | (sin.f64 th) |
| ✓ | 15.9% | th |
Compiled 4022 to 1654 computations (58.9% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th)) |
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th)))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) |
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (*.f64 (sin.f64 ky) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))))))) |
(*.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (sin.f64 ky))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sin.f64 kx)))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.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) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(*.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)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
9 calls:
| 72.0ms | th |
| 72.0ms | (sin.f64 th) |
| 61.0ms | (sin.f64 kx) |
| 59.0ms | ky |
| 55.0ms | (sin.f64 ky) |
| 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 |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th)) |
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th)))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) |
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (*.f64 (sin.f64 ky) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))))))) |
(*.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| Outputs |
|---|
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
6 calls:
| 60.0ms | (sin.f64 th) |
| 41.0ms | (sin.f64 kx) |
| 36.0ms | kx |
| 36.0ms | th |
| 36.0ms | (sin.f64 ky) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | kx |
| 99.6% | 1 | ky |
| 99.6% | 1 | th |
| 99.6% | 1 | (sin.f64 ky) |
| 99.6% | 1 | (sin.f64 kx) |
| 99.6% | 1 | (sin.f64 th) |
Compiled 27 to 21 computations (22.2% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th)) |
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th)))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th) |
(/.f64 th (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 ky (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (*.f64 (sin.f64 ky) th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))))))) |
(*.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx)) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
6 calls:
| 56.0ms | (sin.f64 ky) |
| 54.0ms | (sin.f64 kx) |
| 45.0ms | (sin.f64 th) |
| 39.0ms | ky |
| 38.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 2 | kx |
| 80.8% | 3 | ky |
| 76.5% | 2 | th |
| 80.7% | 3 | (sin.f64 ky) |
| 79.6% | 3 | (sin.f64 kx) |
| 79.1% | 4 | (sin.f64 th) |
Compiled 27 to 21 computations (22.2% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th)) |
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th)))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
1 calls:
| 34.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 3 | ky |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th)) |
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th)))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) |
| Outputs |
|---|
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
1 calls:
| 66.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 3 | ky |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th)) |
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th)))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) |
| Outputs |
|---|
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) |
(sin.f64 th) |
2 calls:
| 49.0ms | (sin.f64 ky) |
| 49.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 3 | (sin.f64 ky) |
| 77.4% | 3 | ky |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th)) |
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th)))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| Outputs |
|---|
(*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(sin.f64 th) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
6 calls:
| 47.0ms | th |
| 40.0ms | ky |
| 31.0ms | (sin.f64 kx) |
| 30.0ms | (sin.f64 ky) |
| 28.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.3% | 2 | ky |
| 66.7% | 3 | (sin.f64 th) |
| 68.8% | 3 | th |
| 58.6% | 2 | kx |
| 63.5% | 4 | (sin.f64 kx) |
| 60.1% | 3 | (sin.f64 ky) |
Compiled 27 to 21 computations (22.2% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th)) |
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th)))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 (sin.f64 ky) kx))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th th) (+.f64 (*.f64 (*.f64 th th) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) #s(literal -1/5040 binary64)))) #s(literal -1/6 binary64)))))) |
(*.f64 (/.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx)) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
6 calls:
| 34.0ms | kx |
| 30.0ms | th |
| 30.0ms | (sin.f64 th) |
| 30.0ms | (sin.f64 kx) |
| 28.0ms | (sin.f64 ky) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.9% | 2 | ky |
| 54.5% | 3 | (sin.f64 ky) |
| 54.6% | 3 | kx |
| 58.2% | 4 | (sin.f64 kx) |
| 50.6% | 3 | (sin.f64 th) |
| 52.5% | 3 | th |
Compiled 27 to 21 computations (22.2% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th)) |
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th)))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 (sin.f64 ky) kx))) |
| Outputs |
|---|
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
1 calls:
| 28.0ms | (sin.f64 kx) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.2% | 4 | (sin.f64 kx) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th)) |
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th)))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 kx))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 ky))) |
| Outputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
2 calls:
| 28.0ms | kx |
| 28.0ms | (sin.f64 kx) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.5% | 3 | kx |
| 55.7% | 4 | (sin.f64 kx) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th)) |
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sin.f64 th)))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th)) (sin.f64 ky)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Outputs |
|---|
(sin.f64 th) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
1 calls:
| 26.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.5% | 3 | kx |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th)) |
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 ky) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx ky)) (sin.f64 th)) |
| Outputs |
|---|
(sin.f64 th) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
2 calls:
| 23.0ms | kx |
| 22.0ms | (sin.f64 ky) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.5% | 2 | (sin.f64 ky) |
| 52.8% | 2 | kx |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) |
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) |
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx)) |
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) kx)) (sin.f64 th)) |
(*.f64 (*.f64 kx #s(literal 1/6 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 ky) (*.f64 th (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky)))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 kx))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (sin.f64 ky))) |
(*.f64 (sin.f64 ky) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 th)) ky)) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 ky))) |
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) kx)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) kx))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 kx)) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 kx #s(literal 1/6 binary64)) kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (/.f64 kx (sin.f64 ky)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx) |
(*.f64 (/.f64 (sin.f64 ky) (+.f64 kx (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))))) kx))))) (sin.f64 th)) |
| Outputs |
|---|
(sin.f64 th) |
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) |
3 calls:
| 25.0ms | th |
| 24.0ms | kx |
| 19.0ms | (sin.f64 kx) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.9% | 3 | th |
| 51.2% | 3 | (sin.f64 kx) |
| 50.5% | 2 | kx |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 ky (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))) kx) (+.f64 (*.f64 kx #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)))))) (*.f64 ky ky)) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))) (*.f64 (*.f64 ky ky) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64)) (*.f64 (*.f64 ky ky) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/15 binary64))) (*.f64 (*.f64 kx kx) #s(literal 11/945 binary64)))))))))) (*.f64 ky ky)) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) |
(sin.f64 th) |
5 calls:
| 31.0ms | (sin.f64 ky) |
| 20.0ms | (sin.f64 kx) |
| 12.0ms | kx |
| 12.0ms | ky |
| 12.0ms | (sin.f64 th) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.2% | 3 | (sin.f64 th) |
| 42.7% | 3 | (sin.f64 kx) |
| 42.9% | 2 | ky |
| 43.0% | 2 | (sin.f64 ky) |
| 43.3% | 3 | kx |
Compiled 23 to 18 computations (21.7% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (*.f64 ky ky)) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) |
(sin.f64 th) |
2 calls:
| 13.0ms | (sin.f64 ky) |
| 11.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.9% | 2 | ky |
| 42.9% | 2 | (sin.f64 ky) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (sin.f64 ky)) kx) th) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx) |
| Outputs |
|---|
(*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) |
(sin.f64 th) |
2 calls:
| 11.0ms | ky |
| 10.0ms | (sin.f64 ky) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.8% | 2 | ky |
| 42.9% | 2 | (sin.f64 ky) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(/.f64 (*.f64 ky (sin.f64 th)) kx) |
(/.f64 (*.f64 th ky) (sin.f64 kx)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (sin.f64 th)) (*.f64 ky ky)) |
(*.f64 ky (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (/.f64 th (sin.f64 kx)))) |
(*.f64 (*.f64 th ky) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (sin.f64 kx))) |
(*.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 th kx)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 ky kx)) (sin.f64 th)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) |
(*.f64 (/.f64 ky (sin.f64 kx)) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))) |
| Outputs |
|---|
(*.f64 (/.f64 ky kx) (sin.f64 th)) |
(sin.f64 th) |
2 calls:
| 36.0ms | (sin.f64 ky) |
| 9.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.8% | 2 | ky |
| 42.7% | 2 | (sin.f64 ky) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
(sin.f64 th) |
| Outputs |
|---|
(sin.f64 th) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
3 calls:
| 17.0ms | kx |
| 5.0ms | th |
| 5.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.2% | 2 | th |
| 38.4% | 2 | kx |
| 37.4% | 2 | ky |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) |
(*.f64 th (*.f64 (*.f64 th th) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal -1/6 binary64)))) |
(*.f64 th (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(*.f64 th (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 th (*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) th))) |
(*.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (-.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))))) th))) |
(*.f64 th (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 th th)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 th th))) (*.f64 #s(literal -1/216 binary64) (*.f64 th (*.f64 th th)))) (*.f64 th (*.f64 th th))) (+.f64 (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))) |
| Outputs |
|---|
th |
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) |
3 calls:
| 7.0ms | kx |
| 5.0ms | ky |
| 5.0ms | th |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.2% | 2 | th |
| 20.9% | 2 | ky |
| 22.2% | 2 | kx |
Compiled 12 to 9 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
th |
| Outputs |
|---|
th |
3 calls:
| 1.0ms | ky |
| 1.0ms | kx |
| 1.0ms | th |
| Accuracy | Segments | Branch |
|---|---|---|
| 15.9% | 1 | th |
| 15.9% | 1 | ky |
| 15.9% | 1 | kx |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 6.690394623577958e+162 | 3.386888958137079e+165 |
| 32.0ms | 6.317266591111542e-5 | 2886332.637939699 |
| 50.0ms | 288× | 0 | valid |
Compiled 529 to 352 computations (33.5% saved)
ival-sin: 20.0ms (50.6% of total)ival-pow: 7.0ms (17.7% of total)ival-add: 5.0ms (12.6% of total)ival-div: 2.0ms (5.1% of total)ival-mult: 2.0ms (5.1% of total)ival-sqrt: 2.0ms (5.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 6.690394623577958e+162 | 3.386888958137079e+165 |
| 29.0ms | 6.317266591111542e-5 | 2886332.637939699 |
| 52.0ms | 288× | 0 | valid |
Compiled 529 to 352 computations (33.5% saved)
ival-sin: 19.0ms (55% of total)ival-pow: 6.0ms (17.4% of total)ival-mult: 4.0ms (11.6% of total)ival-div: 2.0ms (5.8% of total)ival-sqrt: 2.0ms (5.8% of total)ival-add: 1.0ms (2.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 2.6579337734307518e+162 | 6.690394623577958e+162 |
| 59.0ms | 6.317266591111542e-5 | 2886332.637939699 |
| 74.0ms | 240× | 0 | valid |
Compiled 445 to 298 computations (33% saved)
ival-pow: 36.0ms (55.1% of total)ival-sin: 23.0ms (35.2% of total)ival-div: 2.0ms (3.1% of total)ival-mult: 2.0ms (3.1% of total)ival-sqrt: 2.0ms (3.1% of total)ival-add: 1.0ms (1.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.317266586909733e-5 | 0.0167238392088911 |
| 0.0ms | -0.017588307476204282 | 1.842584983697553e-308 |
Compiled 24 to 18 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 1.354164735755252e+272 | 7.073867711573596e+279 |
| 27.0ms | 366329.8266852196 | 11162146918.843483 |
| 48.0ms | 272× | 0 | valid |
Compiled 347 to 256 computations (26.2% saved)
ival-sin: 23.0ms (63% of total)ival-pow: 6.0ms (16.4% of total)ival-div: 2.0ms (5.5% of total)ival-mult: 2.0ms (5.5% of total)ival-sqrt: 2.0ms (5.5% of total)ival-add: 1.0ms (2.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.1133112267873726e-51 | 6.391759076545119e-42 |
| 0.0ms | 1.1661466161150047e-117 | 1.4654821112360613e-114 |
| 0.0ms | -0.047968641478542996 | -0.02958019419157391 |
Compiled 25 to 18 computations (28% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.1133112267873726e-51 | 6.391759076545119e-42 |
| 0.0ms | 1.1661466161150047e-117 | 1.4654821112360613e-114 |
| 0.0ms | -0.047968641478542996 | -0.02958019419157391 |
Compiled 25 to 18 computations (28% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 5.1133112267873726e-51 | 6.391759076545119e-42 |
| 25.0ms | 1.1661466161150047e-117 | 1.4654821112360613e-114 |
| 41.0ms | 272× | 0 | valid |
Compiled 514 to 347 computations (32.5% saved)
ival-sin: 18.0ms (56.9% of total)ival-pow: 6.0ms (19% of total)ival-div: 2.0ms (6.3% of total)ival-mult: 2.0ms (6.3% of total)ival-sqrt: 2.0ms (6.3% of total)ival-add: 1.0ms (3.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 5.1133112267873726e-51 | 6.391759076545119e-42 |
| 26.0ms | 1.1661466161150047e-117 | 1.4654821112360613e-114 |
| 41.0ms | 272× | 0 | valid |
Compiled 402 to 275 computations (31.6% saved)
ival-sin: 14.0ms (48.7% of total)ival-pow: 7.0ms (24.3% of total)ival-div: 2.0ms (7% of total)ival-mult: 2.0ms (7% of total)ival-sqrt: 2.0ms (7% of total)ival-add: 1.0ms (3.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 6.0324538843385554e-114 | 3.274092039402646e-113 |
| 13.0ms | 96× | 0 | valid |
Compiled 133 to 102 computations (23.3% saved)
ival-sin: 5.0ms (52.4% of total)ival-pow: 2.0ms (21% of total)ival-div: 1.0ms (10.5% of total)ival-mult: 1.0ms (10.5% of total)ival-sqrt: 1.0ms (10.5% of total)ival-add: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 3.274092039402646e-113 | 6.027721066340175e-109 |
| 17.0ms | 128× | 0 | valid |
Compiled 161 to 122 computations (24.2% saved)
ival-sin: 6.0ms (47.9% of total)ival-pow: 3.0ms (23.9% of total)ival-div: 1.0ms (8% of total)ival-add: 1.0ms (8% of total)ival-mult: 1.0ms (8% of total)ival-sqrt: 1.0ms (8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.136515905950042e-161 | 1.4853309231627523e-158 |
Compiled 24 to 18 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.136515905950042e-161 | 1.4853309231627523e-158 |
Compiled 24 to 18 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.136515905950042e-161 | 1.4853309231627523e-158 |
Compiled 24 to 18 computations (25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 7.136515905950042e-161 | 1.4853309231627523e-158 |
| 20.0ms | 112× | 0 | valid |
Compiled 137 to 102 computations (25.5% saved)
ival-mult: 6.0ms (36.6% of total)ival-sin: 6.0ms (36.6% of total)ival-pow: 2.0ms (12.2% of total)ival-div: 1.0ms (6.1% of total)ival-add: 1.0ms (6.1% of total)ival-sqrt: 1.0ms (6.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 9.542532467523215e+39 | 1.6623291270999584e+50 |
| 28.0ms | 160× | 0 | valid |
Compiled 195 to 148 computations (24.1% saved)
ival-sin: 14.0ms (62.3% of total)ival-pow: 4.0ms (17.8% of total)ival-div: 1.0ms (4.4% of total)ival-add: 1.0ms (4.4% of total)ival-mult: 1.0ms (4.4% of total)ival-sqrt: 1.0ms (4.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 4.428635033294199e-55 | 5.1133112267873726e-51 |
| 17.0ms | 128× | 0 | valid |
Compiled 153 to 114 computations (25.5% saved)
ival-sin: 6.0ms (47.4% of total)ival-pow: 3.0ms (23.7% of total)ival-div: 1.0ms (7.9% of total)ival-add: 1.0ms (7.9% of total)ival-mult: 1.0ms (7.9% of total)ival-sqrt: 1.0ms (7.9% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 74× | *-commutative_binary64 |
| 20× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 536 |
| 1 | 206 | 536 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(if (<=.f64 ky #s(literal 7839866231326559/576460752303423488 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) (if (<=.f64 ky #s(literal 87999999999999994530794688154242977047646214030629182713063827801196355581648120219371283732835789362271198206726690744280062384263961141547143113021736523308990464 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(if (<=.f64 ky #s(literal 1080863910568919/144115188075855872 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 ky #s(literal 560000000000000041916058569911007659646427608682677201887954131051035084488765841149134931534423994200186777476639442505688874412278007906556724649781768472080941056 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(if (<=.f64 ky #s(literal 4496393867966703/2305843009213693952 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 ky #s(literal 4800000000000000181180287591495114579175855261537390892788156229768460894601861010422805468143405942966537332737458992564692750298818793552471415958048069772115968 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) #s(literal 7378697629483821/73786976294838206464 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th))) |
(if (<=.f64 th #s(literal 380000 binary64)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 th #s(literal 108000000000000006115479829319529255488381779345998785285137268540383277662873750106213453775403662917952552116883910711741896888171718167723167908575952363339965490968247429769036955193650215572248514139981345059037963836536901684868193051237604406199707703529065480724676608 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) |
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))) |
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))) |
(if (<=.f64 kx #s(literal 3549017208474643/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th)) (if (<=.f64 kx #s(literal 7713302612443153/12855504354071922204335696738729300820177623950262342682411008 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) |
(if (<=.f64 kx #s(literal 1663601816472489/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (sin.f64 th) (if (<=.f64 kx #s(literal 8741742960768907/102844034832575377634685573909834406561420991602098741459288064 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) |
(if (<=.f64 kx #s(literal 4678880108828875/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(if (<=.f64 kx #s(literal 5923061480360627/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (sin.f64 th) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) (sin.f64 th)) |
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) (sin.f64 th)) |
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) (sin.f64 th)) |
(if (<=.f64 ky #s(literal 7281407019368197/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th)) |
(if (<=.f64 kx #s(literal 30999999999999997505563309703544737443677732864 binary64)) (sin.f64 th) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(if (<=.f64 kx #s(literal 336999333339383/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) th (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
th |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(if (<=.f64 ky #s(literal 7839866231326559/576460752303423488 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) (if (<=.f64 ky #s(literal 87999999999999994530794688154242977047646214030629182713063827801196355581648120219371283732835789362271198206726690744280062384263961141547143113021736523308990464 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(if (<=.f64 ky #s(literal 7839866231326559/576460752303423488 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky))) (if (<=.f64 ky #s(literal 87999999999999994530794688154242977047646214030629182713063827801196355581648120219371283732835789362271198206726690744280062384263961141547143113021736523308990464 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(if (<=.f64 ky #s(literal 1080863910568919/144115188075855872 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 ky #s(literal 560000000000000041916058569911007659646427608682677201887954131051035084488765841149134931534423994200186777476639442505688874412278007906556724649781768472080941056 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) (sin.f64 th)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(if (<=.f64 ky #s(literal 1080863910568919/144115188075855872 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 ky #s(literal 560000000000000041916058569911007659646427608682677201887954131051035084488765841149134931534423994200186777476639442505688874412278007906556724649781768472080941056 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(if (<=.f64 ky #s(literal 4496393867966703/2305843009213693952 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 ky #s(literal 4800000000000000181180287591495114579175855261537390892788156229768460894601861010422805468143405942966537332737458992564692750298818793552471415958048069772115968 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) kx))) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 (sin.f64 ky) #s(literal 7378697629483821/73786976294838206464 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 ky (sin.f64 kx)))) (sin.f64 th))) |
(if (<=.f64 th #s(literal 380000 binary64)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 th #s(literal 108000000000000006115479829319529255488381779345998785285137268540383277662873750106213453775403662917952552116883910711741896888171718167723167908575952363339965490968247429769036955193650215572248514139981345059037963836536901684868193051237604406199707703529065480724676608 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) |
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))) |
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky))) (if (<=.f64 (sin.f64 kx) #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))) |
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) th) th))) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))) |
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (sin.f64 ky) (/.f64 (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (hypot.f64 ky (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 5678427533559429/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky))) (if (<=.f64 (sin.f64 kx) #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))) |
(if (<=.f64 kx #s(literal 3549017208474643/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th)) (if (<=.f64 kx #s(literal 7713302612443153/12855504354071922204335696738729300820177623950262342682411008 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) |
(if (<=.f64 kx #s(literal 3549017208474643/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky))))) (if (<=.f64 kx #s(literal 7713302612443153/12855504354071922204335696738729300820177623950262342682411008 binary64)) (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) |
(if (<=.f64 kx #s(literal 1663601816472489/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (sin.f64 th) (if (<=.f64 kx #s(literal 8741742960768907/102844034832575377634685573909834406561420991602098741459288064 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky))) th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) |
(if (<=.f64 kx #s(literal 1663601816472489/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (sin.f64 th) (if (<=.f64 kx #s(literal 8741742960768907/102844034832575377634685573909834406561420991602098741459288064 binary64)) (*.f64 th (/.f64 (sin.f64 ky) (hypot.f64 kx (sin.f64 ky)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) |
(if (<=.f64 kx #s(literal 4678880108828875/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(if (<=.f64 kx #s(literal 5923061480360627/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (sin.f64 th) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)))) #s(literal -1/6 binary64)))))) (sin.f64 th)) (sin.f64 th)) |
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/5040 binary64)))))))))) (sin.f64 th)) |
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64))))))) (sin.f64 th)) (sin.f64 th)) |
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 kx (*.f64 kx (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 kx kx) #s(literal 1/120 binary64))))))))) (sin.f64 th)) |
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))) (sin.f64 th)) (sin.f64 th)) |
(if (<=.f64 (sin.f64 ky) #s(literal 1582914569427869/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))))) (sin.f64 th)) |
(if (<=.f64 ky #s(literal 7281407019368197/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th)) |
(if (<=.f64 ky #s(literal 7281407019368197/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (*.f64 (sin.f64 th) (/.f64 ky kx)) (sin.f64 th)) |
(if (<=.f64 kx #s(literal 30999999999999997505563309703544737443677732864 binary64)) (sin.f64 th) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
(if (<=.f64 kx #s(literal 336999333339383/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) th (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) |
th |
| 9534× | *-lowering-*.f32 |
| 9534× | *-lowering-*.f64 |
| 5902× | +-lowering-+.f64 |
| 5902× | +-lowering-+.f32 |
| 5848× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 767 | 5663 |
| 1 | 2722 | 5303 |
| 0 | 9251 | 5303 |
| 0 | 650 | 8007 |
| 1 | 2351 | 7245 |
| 2 | 7260 | 7238 |
| 0 | 8028 | 7238 |
| 0 | 34 | 161 |
| 1 | 180 | 157 |
| 2 | 1474 | 151 |
| 0 | 8720 | 151 |
| 0 | 28 | 103 |
| 1 | 162 | 99 |
| 2 | 1205 | 97 |
| 0 | 8497 | 97 |
| 0 | 30 | 122 |
| 1 | 165 | 119 |
| 2 | 1145 | 113 |
| 0 | 8446 | 113 |
| 0 | 13 | 16 |
| 1 | 19 | 11 |
| 2 | 27 | 11 |
| 3 | 28 | 11 |
| 0 | 28 | 11 |
| 0 | 724 | 7917 |
| 1 | 2669 | 7285 |
| 2 | 7436 | 7285 |
| 0 | 8298 | 7285 |
| 0 | 405 | 4445 |
| 1 | 1412 | 4111 |
| 2 | 5844 | 4111 |
| 0 | 8117 | 4111 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1891 to 1061 computations (43.9% saved)
(negabs th)
(negabs ky)
(abs kx)
Compiled 1284 to 446 computations (65.3% saved)
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