Toniolo and Linder, Equation (3b), real
Time bar (total: 12.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 6 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 7 |
| 53.1% | 53% | 46.8% | 0.1% | 0% | 0% | 0% | 8 |
| 60.9% | 60.8% | 39% | 0.1% | 0% | 0% | 0% | 9 |
| 60.9% | 60.8% | 39% | 0.1% | 0% | 0% | 0% | 10 |
| 64.8% | 64.7% | 35.1% | 0.1% | 0% | 0% | 0% | 11 |
| 68.4% | 68.3% | 31.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 18 to 14 computations (22.2% saved)
| 1.7s | 8 256× | 0 | valid |
ival-sin: 735.0ms (55.8% of total)ival-pow2: 288.0ms (21.9% of total)ival-mult: 101.0ms (7.7% of total)ival-div: 79.0ms (6% of total)ival-sqrt: 64.0ms (4.9% of total)ival-add: 37.0ms (2.8% of total)ival-true: 7.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 12 | 0 | - | 3 | (-1.3650755993072354e-212 2.485148603631042e-162 -4.2335392029497105e+210) | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (sin.f64 kx) |
| 0 | 0 | - | 0 | - | (sin.f64 th) |
| 0 | 0 | - | 0 | - | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | th |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 0 | 0 | - | 0 | - | (sin.f64 ky) |
| 0 | 0 | - | 0 | - | ky |
| 0 | 0 | - | 0 | - | kx |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) | uflow-rescue | 9 | 0 |
| ↳ | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) | underflow | 57 | |
| ↳ | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) | underflow | 59 | |
| ↳ | (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) | underflow | 9 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 9 | 3 |
| - | 0 | 244 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 9 | 0 | 3 |
| - | 0 | 0 | 244 |
| number | freq |
|---|---|
| 0 | 247 |
| 1 | 9 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 79.0ms | 512× | 0 | valid |
Compiled 152 to 43 computations (71.7% saved)
ival-sin: 36.0ms (61.2% of total)ival-pow2: 10.0ms (17% of total)ival-div: 3.0ms (5.1% of total)ival-mult: 3.0ms (5.1% of total)ival-sqrt: 3.0ms (5.1% of total)ival-add: 2.0ms (3.4% of total)ival-true: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 153 |
| 1 | 101 | 147 |
| 2 | 211 | 147 |
| 3 | 383 | 147 |
| 4 | 845 | 147 |
| 5 | 1976 | 147 |
| 6 | 2541 | 147 |
| 7 | 2802 | 147 |
| 8 | 2914 | 147 |
| 9 | 2966 | 147 |
| 10 | 2981 | 147 |
| 11 | 2981 | 147 |
| 0 | 13 | 16 |
| 0 | 22 | 16 |
| 1 | 28 | 16 |
| 2 | 32 | 16 |
| 3 | 33 | 16 |
| 0 | 33 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(abs kx)
(negabs th)
(negabs ky)
Compiled 16 to 13 computations (18.8% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.8% | (*.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)) |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 ky) | |
| cost-diff | 0 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| cost-diff | 5 | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 66 |
| 0 | 22 | 66 |
| 1 | 28 | 66 |
| 2 | 32 | 66 |
| 3 | 33 | 66 |
| 0 | 33 | 51 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(sin.f64 ky) |
ky |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(sin.f64 kx) |
kx |
#s(literal 2 binary64) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(sin.f64 th) |
th |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(sin.f64 ky) |
ky |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(sin.f64 kx) |
kx |
#s(literal 2 binary64) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(sin.f64 th) |
th |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1875 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| accuracy | 0.2109375 | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) | |
| accuracy | 0.2780075195368841 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) | |
| accuracy | 2.4973799539955066 | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
| 95.0ms | 256× | 0 | valid |
Compiled 68 to 15 computations (77.9% saved)
ival-sqrt: 36.0ms (57.9% of total)ival-sin: 17.0ms (27.3% of total)ival-pow2: 5.0ms (8% of total)ival-div: 2.0ms (3.2% of total)ival-mult: 2.0ms (3.2% of total)ival-add: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(sin.f64 ky) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
| Outputs |
|---|
(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)))))) |
(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)))))))))))) |
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)))))) |
(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)))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(pow (sin kx) 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)))))) |
(/ (* 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)))) |
(/ 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)))) |
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)))) |
(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) |
(* (* 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)))))))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | ky | @ | 0 | ((sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (pow (sin kx) 2) (pow (sin ky) 2)) |
| 4.0ms | th | @ | -inf | ((sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (pow (sin kx) 2) (pow (sin ky) 2)) |
| 3.0ms | kx | @ | inf | ((sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (pow (sin kx) 2) (pow (sin ky) 2)) |
| 3.0ms | kx | @ | 0 | ((sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (pow (sin kx) 2) (pow (sin ky) 2)) |
| 3.0ms | ky | @ | inf | ((sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (pow (sin kx) 2) (pow (sin ky) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 317 | 1402 |
| 1 | 1011 | 1353 |
| 2 | 3865 | 1261 |
| 3 | 7812 | 1261 |
| 0 | 8115 | 1188 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(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)))))))))))) |
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)))))) |
(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)))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(pow (sin kx) 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)))))) |
(/ (* 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)))) |
(/ 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)))) |
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)))) |
(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) |
(* (* 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)))))))))))) |
| Outputs |
|---|
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) 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)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (*.f64 kx (/.f64 kx (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (sin.f64 ky)) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx (/.f64 kx (sin.f64 ky)))) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 ky))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky))) |
(sin th) |
(sin.f64 th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(fma.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 kx kx) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))))) (fma.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 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)))) (*.f64 kx kx) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) #s(literal 1 binary64)) |
(pow kx 2) |
(*.f64 kx kx) |
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 kx kx)) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx)) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 kx kx) #s(literal 2/45 binary64)) (*.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (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) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(sin kx) |
(sin.f64 kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (*.f64 ky (/.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (pow.f64 ky #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 ky (/.f64 ky (sin.f64 kx)))) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 kx))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))) |
(/ (* ky (sin th)) (sin kx)) |
(*.f64 (sin.f64 th) (/.f64 ky (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)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 th) (/.f64 ky (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)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/120 binary64)) (*.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th)))) (*.f64 ky ky) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #s(literal -1/12 binary64) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/120 binary64)) (*.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th))))) (*.f64 ky ky) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 (neg.f64 (pow.f64 ky #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (/.f64 ky (sin.f64 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (+.f64 (fma.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (*.f64 ky ky) (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (/.f64 ky (sin.f64 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (sin.f64 kx) (fma.f64 #s(literal -1/12 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 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 ky ky) (+.f64 (fma.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)))) (*.f64 ky ky) (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (/.f64 ky (sin.f64 kx))) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) #s(literal -1/6 binary64) ky) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) ky) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) (*.f64 ky ky) #s(literal -1/6 binary64)) ky) |
(pow ky 2) |
(*.f64 ky ky) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(fma.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 ky ky)) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(fma.f64 (pow.f64 ky #s(literal 4 binary64)) (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky)) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(fma.f64 (pow.f64 ky #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) (*.f64 ky ky) #s(literal -1/3 binary64)) (*.f64 ky ky)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th th)) (*.f64 (sin.f64 ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) 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 (fma.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 th th) #s(literal 1/120 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) th) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 49 |
| 0 | 22 | 49 |
| 1 | 62 | 49 |
| 2 | 344 | 49 |
| 3 | 2978 | 49 |
| 0 | 8260 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(sin.f64 ky) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 12 binary64))))) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (+.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 12 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1 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 (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (pow.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (sqrt.f64 (pow.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
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(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 ky)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) |
(*.f64 (sin.f64 ky) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(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)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))) |
(/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(exp.f64 (-.f64 (neg.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (log.f64 (sin.f64 ky))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)) (neg.f64 (log.f64 (sin.f64 ky))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (sin.f64 ky))))) |
(exp.f64 (neg.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))) |
(exp.f64 (+.f64 (neg.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (log.f64 (sin.f64 ky)))) |
(exp.f64 (fma.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64) (log.f64 (sin.f64 ky)))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (log.f64 (sin.f64 ky)))) |
(exp.f64 (+.f64 (log.f64 (sin.f64 ky)) (neg.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(exp.f64 (+.f64 (log.f64 (sin.f64 ky)) (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (log.f64 (sin.f64 ky)) (*.f64 (log.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) |
(exp.f64 (-.f64 (log.f64 (sin.f64 ky)) (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 ky))) |
(*.f64 #s(literal 1 binary64) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sin.f64 ky))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (sin.f64 ky)))) |
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sin.f64 ky) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (sin.f64 ky))) |
(sin.f64 ky) |
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 ky))) |
(exp.f64 (neg.f64 (neg.f64 (log.f64 (sin.f64 ky))))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 ky))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (sin.f64 ky))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 kx))) |
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 kx))) |
(*.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 kx) (sin.f64 kx)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 kx))) |
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 kx))) |
(pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (exp.f64 (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 kx)))) |
(exp.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 kx)) (cos.f64 kx))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 ky))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 ky))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 ky) (sin.f64 ky)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 ky))) |
(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))) |
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (exp.f64 (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 ky) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1/2 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 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #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 #s(literal 1 binary64) (pow.f64 (cos.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 ky)))) |
(exp.f64 (log.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 ky)) (cos.f64 ky))) |
(+.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) (neg.f64 (*.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
Compiled 9 472 to 1 772 computations (81.3% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 352 | 18 | 370 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 353 | 18 | 371 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.1% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| ▶ | 99.7% | (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
| 74.5% | (*.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 th)) | |
| 99.6% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) | |
| 77.8% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 52.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) | |
| 87.7% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| ▶ | 54.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 33.4% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) | |
| 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) | |
| 99.6% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th)) | |
| 74.4% | (*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th)) | |
| 99.4% | (*.f64 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) | |
| 22.5% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) | |
| 30.7% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) | |
| 95.0% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (sin.f64 th)) | |
| ▶ | 43.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
| ▶ | 28.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
Compiled 690 to 542 computations (21.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 ky) | |
| cost-diff | 0 | (*.f64 (sin.f64 ky) th) | |
| cost-diff | 0 | (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) | |
| cost-diff | 0 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) | |
| cost-diff | 0 | (sin.f64 ky) | |
| cost-diff | 0 | (sin.f64 th) | |
| cost-diff | 0 | (*.f64 (sin.f64 th) (sin.f64 ky)) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (sin.f64 ky) | |
| cost-diff | 0 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| cost-diff | 0 | (sin.f64 th) | |
| cost-diff | 0 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 272 |
| 0 | 59 | 262 |
| 1 | 80 | 262 |
| 2 | 90 | 262 |
| 3 | 93 | 262 |
| 0 | 93 | 262 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(sin.f64 th) |
th |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin.f64 ky) |
ky |
(sin.f64 kx) |
kx |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(sin.f64 ky) |
ky |
(sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
(*.f64 kx kx) |
kx |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sin.f64 th) |
th |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (sin.f64 th) (sin.f64 ky)) |
(sin.f64 th) |
th |
(sin.f64 ky) |
ky |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin.f64 kx) |
kx |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 ky) th) |
(sin.f64 ky) |
ky |
th |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(sin.f64 kx) |
kx |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(sin.f64 th) |
th |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin.f64 ky) |
ky |
(sin.f64 kx) |
kx |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx))))) |
(sin.f64 ky) |
ky |
(sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx)))) |
(+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 ky) (sin.f64 ky) #s(approx (pow (sin kx) 2) (*.f64 kx kx))) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
(*.f64 kx kx) |
kx |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sin.f64 th) |
th |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (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 th) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (sin.f64 th)) |
(sin.f64 th) |
th |
(sin.f64 ky) |
ky |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin.f64 kx) |
kx |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th)) |
(*.f64 (sin.f64 ky) th) |
(sin.f64 ky) |
ky |
th |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(sin.f64 kx) |
kx |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.21484375 | (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) | |
| accuracy | 2.5253604414381456 | (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) | |
| accuracy | 2.9480433312764367 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) | |
| accuracy | 33.33574683742037 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) | |
| accuracy | 0.0 | (sin.f64 kx) | |
| accuracy | 0.0234375 | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) | |
| accuracy | 0.16796875 | (*.f64 (sin.f64 th) (sin.f64 ky)) | |
| accuracy | 2.542606681669704 | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| accuracy | 0.1875 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| accuracy | 0.2109375 | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) | |
| accuracy | 2.4973799539955066 | (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) | |
| accuracy | 31.375854351018695 | #s(approx (pow (sin kx) 2) (*.f64 kx kx)) | |
| accuracy | 0.0 | (sin.f64 th) | |
| accuracy | 45.72922249507079 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) | |
| accuracy | 0.0 | (sin.f64 kx) | |
| accuracy | 0.0234375 | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) | |
| accuracy | 0.125 | (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) | |
| accuracy | 0.189785009768442 | (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
| 104.0ms | 256× | 0 | valid |
Compiled 272 to 28 computations (89.7% saved)
ival-sin: 47.0ms (56.6% of total)ival-div: 12.0ms (14.4% of total)ival-mult: 8.0ms (9.6% of total)ival-sqrt: 5.0ms (6% of total)ival-pow2: 5.0ms (6% of total)ival-hypot: 4.0ms (4.8% of total)ival-add: 2.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(sin.f64 th) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(sin.f64 ky) |
(sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (sin.f64 th) (sin.f64 ky)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 ky) th) |
(sin.f64 kx) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
| Outputs |
|---|
(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)))))))))))) |
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)))))) |
(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)))))) |
(+ 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)))))) |
th |
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2)))) |
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (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 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
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)))) |
(pow kx 2) |
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))) |
(/ 1 (sin ky)) |
(+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky))) |
(+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(/ 1 (pow (sin ky) 2)) |
(+ (* -1 (/ (pow kx 2) (pow (sin ky) 4))) (/ 1 (pow (sin ky) 2))) |
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6)))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2))) |
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (+ (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))))) |
(sin kx) |
(pow (sin kx) 2) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/ 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 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) |
(+ (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)))))) |
(/ 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)))) |
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)))) |
(* ky (sin th)) |
(* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th))))) |
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th))))))) |
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th)))))))) |
(/ (* ky th) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (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 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx)))) |
(* 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))))))) |
(pow ky 2) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(/ 1 (sin kx)) |
(+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx))) |
(+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(/ 1 (pow (sin kx) 2)) |
(+ (* -1 (/ (pow ky 2) (pow (sin kx) 4))) (/ 1 (pow (sin kx) 2))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6)))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2))) |
(* (sin ky) (sin th)) |
(* th (sin ky)) |
(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)))))))))))) |
(* 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)))) |
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))) |
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky))))))) |
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | ky | @ | 0 | ((/ (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)))) (* (/ (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 th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (* (sin th) (sin ky)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (* (sin ky) th) (sin kx) (pow (sin kx) 2) (pow (sin ky) 2) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) |
| 18.0ms | th | @ | -inf | ((/ (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)))) (* (/ (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 th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (* (sin th) (sin ky)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (* (sin ky) th) (sin kx) (pow (sin kx) 2) (pow (sin ky) 2) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) |
| 4.0ms | th | @ | 0 | ((/ (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)))) (* (/ (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 th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (* (sin th) (sin ky)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (* (sin ky) th) (sin kx) (pow (sin kx) 2) (pow (sin ky) 2) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) |
| 3.0ms | kx | @ | inf | ((/ (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)))) (* (/ (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 th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (* (sin th) (sin ky)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (* (sin ky) th) (sin kx) (pow (sin kx) 2) (pow (sin ky) 2) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) |
| 3.0ms | ky | @ | inf | ((/ (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)))) (* (/ (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 th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (* (sin th) (sin ky)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (* (sin ky) th) (sin kx) (pow (sin kx) 2) (pow (sin ky) 2) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 579 | 2942 |
| 1 | 1919 | 2861 |
| 2 | 7387 | 2799 |
| 0 | 8109 | 2605 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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)))))))))))) |
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)))))) |
(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)))))) |
(+ 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)))))) |
th |
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2)))) |
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (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 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
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)))) |
(pow kx 2) |
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))) |
(/ 1 (sin ky)) |
(+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky))) |
(+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(/ 1 (pow (sin ky) 2)) |
(+ (* -1 (/ (pow kx 2) (pow (sin ky) 4))) (/ 1 (pow (sin ky) 2))) |
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6)))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2))) |
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (+ (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))))) |
(sin kx) |
(pow (sin kx) 2) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/ 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 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) |
(+ (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)))))) |
(/ 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)))) |
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)))) |
(* ky (sin th)) |
(* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th))))) |
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th))))))) |
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th)))))))) |
(/ (* ky th) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (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 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx)))) |
(* 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))))))) |
(pow ky 2) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(/ 1 (sin kx)) |
(+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx))) |
(+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(/ 1 (pow (sin kx) 2)) |
(+ (* -1 (/ (pow ky 2) (pow (sin kx) 4))) (/ 1 (pow (sin kx) 2))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6)))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2))) |
(* (sin ky) (sin th)) |
(* th (sin ky)) |
(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)))))))))))) |
(* 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)))) |
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))) |
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky))))))) |
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky)))))))) |
| Outputs |
|---|
(sin th) |
(sin.f64 th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(fma.f64 (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (sin.f64 th)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)) |
(+ 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)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) #s(literal 1 binary64)) |
(+ 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)))))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 2/45 binary64)) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) |
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) 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)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 ky)) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (sin.f64 ky)) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 2/45 binary64)) (*.f64 kx (/.f64 kx (sin.f64 ky)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 ky))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky))) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 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)))) (*.f64 kx kx) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) #s(literal 1 binary64)) |
th |
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th) |
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) th) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 kx kx) th) |
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (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 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) th) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 kx kx) (*.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 kx kx) th) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(fma.f64 (pow.f64 kx #s(literal 3 binary64)) #s(literal -1/6 binary64) kx) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(fma.f64 (pow.f64 kx #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) kx) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(fma.f64 (pow.f64 kx #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) kx) |
(pow kx 2) |
(*.f64 kx kx) |
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 kx kx)) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx)) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 kx kx) #s(literal 2/45 binary64)) (*.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx)) |
(/ 1 (sin ky)) |
(/.f64 #s(literal 1 binary64) (sin.f64 ky)) |
(+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky))) |
(fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 kx kx) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sin.f64 ky)))) (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 kx kx) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(/ 1 (pow (sin ky) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(+ (* -1 (/ (pow kx 2) (pow (sin ky) 4))) (/ 1 (pow (sin ky) 2))) |
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) |
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6)))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 kx kx) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 kx kx) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 kx kx))) (*.f64 kx kx) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 kx kx) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(sin kx) |
(sin.f64 kx) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(/ (* ky (sin th)) (sin kx)) |
(*.f64 (sin.f64 th) (/.f64 ky (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)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (sin.f64 th) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (sin.f64 th) (/.f64 ky (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 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th)) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky) |
(* 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 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #s(literal -1/12 binary64))) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/5040 binary64)) (sin.f64 kx)))) (*.f64 ky ky) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th)) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 ky ky)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky) |
(/ (sin kx) ky) |
(/.f64 (sin.f64 kx) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) ky) ky (sin.f64 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sin.f64 kx)) #s(literal -1/2 binary64) (fma.f64 #s(literal 7/360 binary64) (sin.f64 kx) (/.f64 #s(literal 1/12 binary64) (sin.f64 kx)))) (*.f64 ky ky) (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))) (*.f64 ky ky) (sin.f64 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sin.f64 kx)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sin.f64 kx)) #s(literal -1/12 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 2/45 binary64)) (sin.f64 kx)) #s(literal 1/2 binary64) (fma.f64 #s(literal 31/15120 binary64) (sin.f64 kx) (/.f64 #s(literal 7/720 binary64) (sin.f64 kx))))) (*.f64 ky ky) (fma.f64 #s(literal 7/360 binary64) (sin.f64 kx) (/.f64 #s(literal 1/12 binary64) (sin.f64 kx))))) (*.f64 ky ky) (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))) (*.f64 ky ky) (sin.f64 kx)) ky) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 kx)) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (pow.f64 ky #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 2/45 binary64)) (sin.f64 kx)) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 kx))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))) |
(/ 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 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (*.f64 ky ky) (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (/.f64 ky (sin.f64 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (+.f64 (fma.f64 (fma.f64 (sin.f64 kx) (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #s(literal -1/12 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx))))) (*.f64 ky ky) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (*.f64 ky ky) (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (/.f64 ky (sin.f64 kx))) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) #s(literal -1/6 binary64) ky) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) ky) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 ky ky) #s(literal -1/6 binary64)) ky) |
(* ky (sin th)) |
(*.f64 (sin.f64 th) ky) |
(* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)) ky) |
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th))))))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (sin.f64 th) ky)) |
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 4 binary64)) (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) ky) |
(/ (* ky th) (sin kx)) |
(*.f64 (/.f64 th (sin.f64 kx)) ky) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (/.f64 th (sin.f64 kx)) #s(literal -1/6 binary64) (*.f64 (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 th (sin.f64 kx)) ky)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 th (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (*.f64 (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64))) (*.f64 ky ky) (fma.f64 (/.f64 th (sin.f64 kx)) #s(literal -1/6 binary64) (*.f64 (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64)))) (*.f64 ky ky) (/.f64 th (sin.f64 kx))) ky) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (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 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx)))) |
(*.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 th (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (*.f64 (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64))) (*.f64 (fma.f64 (*.f64 th (sin.f64 kx)) (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #s(literal -1/12 binary64))) (fma.f64 (/.f64 th (sin.f64 kx)) #s(literal -1/5040 binary64) (*.f64 (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/240 binary64)))) (*.f64 ky ky))) (*.f64 ky ky) (fma.f64 (/.f64 th (sin.f64 kx)) #s(literal -1/6 binary64) (*.f64 (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64)))) (*.f64 ky ky) (/.f64 th (sin.f64 kx))) ky) |
(* ky th) |
(*.f64 ky th) |
(* ky (+ th (* -1/6 (* (pow ky 2) th)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) th) ky) |
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th)))))) |
(*.f64 (fma.f64 (*.f64 th (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 ky ky) th) ky) |
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th))))))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 th (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) ky) ky (*.f64 #s(literal -1/6 binary64) th)) (*.f64 ky th)) |
(pow ky 2) |
(*.f64 ky ky) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(fma.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 ky ky)) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(fma.f64 (pow.f64 ky #s(literal 4 binary64)) (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky)) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(fma.f64 (pow.f64 ky #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) (*.f64 ky ky) #s(literal -1/3 binary64)) (*.f64 ky ky)) |
(/ 1 (sin kx)) |
(/.f64 #s(literal 1 binary64) (sin.f64 kx)) |
(+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx))) |
(fma.f64 (*.f64 ky (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 kx)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) |
(/ 1 (pow (sin kx) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(+ (* -1 (/ (pow ky 2) (pow (sin kx) 4))) (/ 1 (pow (sin kx) 2))) |
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6)))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 ky ky) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) |
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 ky ky))) (*.f64 ky ky) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) |
(* (sin ky) (sin th)) |
(*.f64 (sin.f64 th) (sin.f64 ky)) |
(* th (sin ky)) |
(*.f64 (sin.f64 ky) th) |
(pow (sin ky) 2) |
(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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky))) 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)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th) (sin.f64 ky) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (pow.f64 th #s(literal 3 binary64)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) (*.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) th) |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
(fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th) |
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
(fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) th) |
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th) |
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky))))))) |
(fma.f64 (pow.f64 th #s(literal 3 binary64)) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (sin.f64 ky) th)) |
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky)))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) th) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 206 |
| 0 | 59 | 181 |
| 1 | 206 | 177 |
| 2 | 1193 | 173 |
| 0 | 9494 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(sin.f64 th) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(sin.f64 ky) |
(sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (sin.f64 th) (sin.f64 ky)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 ky) th) |
(sin.f64 kx) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (-.f64 th ky) (+.f64 ky th)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 (-.f64 th ky) (+.f64 ky th)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sin.f64 kx) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 kx) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sin.f64 kx) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 kx)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 th) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (neg.f64 (sin.f64 kx))) |
(*.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (/.f64 (sin.f64 th) (neg.f64 (pow.f64 (sin.f64 kx) #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (sin.f64 kx)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 kx)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 (neg.f64 (sin.f64 kx)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 kx)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 th)) (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 kx) (sin.f64 kx))))) |
(*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))))) |
(*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal -1 binary64)) (sin.f64 th)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) (*.f64 (sin.f64 kx) (sin.f64 th))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (sin.f64 kx) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 th))) |
(*.f64 (sin.f64 kx) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) (neg.f64 (pow.f64 (sin.f64 kx) #s(literal -1 binary64)))) |
(/.f64 (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th)))) (neg.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th)))) (neg.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 kx)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(/.f64 (neg.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (neg.f64 (sin.f64 kx)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th)))) |
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) (*.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(/.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) (hypot.f64 (sin.f64 kx) (sin.f64 kx))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal -1 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 kx))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))) |
(/.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) |
(/.f64 (sin.f64 kx) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 kx)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(neg.f64 (*.f64 (neg.f64 (sin.f64 th)) (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 kx) (sin.f64 kx))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (neg.f64 (sin.f64 kx)))) (*.f64 (neg.f64 (sin.f64 th)) (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 kx) (sin.f64 kx))))) |
(-.f64 (/.f64 (cos.f64 (-.f64 th ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal 2 binary64))) (/.f64 (cos.f64 (+.f64 ky th)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 (-.f64 th ky)) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (/.f64 (*.f64 (cos.f64 (+.f64 ky th)) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) (/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 kx)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 kx)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 th)) (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 kx) (sin.f64 kx))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 th))) |
(*.f64 #s(literal 1 binary64) (sin.f64 th)) |
(*.f64 (sin.f64 th) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sin.f64 th)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64))) |
(/.f64 (sin.f64 th) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (sin.f64 th))) |
(sin.f64 th) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 th))) |
(*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sqrt.f64 (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 kx)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/4 binary64))) (/.f64 (pow.f64 (sin.f64 kx) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/4 binary64)) (sqrt.f64 (sin.f64 kx))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/4 binary64)) (sqrt.f64 (sin.f64 kx)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 kx)) (pow.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 kx)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.f64 (pow.f64 (sin.f64 kx) #s(literal -1 binary64)) (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 kx) #s(literal -1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) |
(*.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) |
(*.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (neg.f64 (sin.f64 kx)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx))) |
(*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) #s(literal 1 binary64)) |
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) (neg.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (sin.f64 kx) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (neg.f64 (sin.f64 kx))) |
(/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (neg.f64 (sin.f64 kx))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 kx)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) #s(literal 1 binary64)) |
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) |
(neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (neg.f64 (sin.f64 kx)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 kx))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (neg.f64 (sin.f64 kx)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (neg.f64 (sin.f64 kx)))) |
(exp.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 1/2 binary64)) (log.f64 (sin.f64 kx)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64))) (sqrt.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))) #s(literal -1 binary64))) |
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(*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) #s(literal 1 binary64)) |
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(sin.f64 kx) |
(sin.f64 ky) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))))) (/.f64 (pow.f64 (cos.f64 kx) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 kx)) (cos.f64 kx))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 ky)) (cos.f64 ky))) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -2 binary64)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) |
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -2 binary64))) |
(fabs.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (+.f64 (sin.f64 kx) (sin.f64 kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (/.f64 (-.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal 0 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) |
(*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -2 binary64))) |
(pow.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -2 binary64)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) |
(/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
(/.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
(neg.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -2 binary64))) |
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -2 binary64)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) |
(-.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -2 binary64))) |
(exp.f64 (fma.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) #s(literal 1/2 binary64)))) |
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
Compiled 23 069 to 2 862 computations (87.6% saved)
41 alts after pruning (37 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 746 | 25 | 771 |
| Fresh | 1 | 12 | 13 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 748 | 41 | 789 |
| Status | Accuracy | Program |
|---|---|---|
| 95.9% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64))) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| ✓ | 96.1% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| 17.6% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) | |
| ▶ | 17.7% | (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
| 32.7% | (/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) | |
| 30.8% | (/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) | |
| 44.4% | (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| 51.2% | (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| 74.5% | (*.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 th)) | |
| 99.6% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) | |
| ▶ | 77.8% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th)) |
| 52.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) | |
| 87.7% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| ✓ | 54.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 19.7% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) | |
| 29.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) | |
| 33.4% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) | |
| ▶ | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
| 99.6% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th)) | |
| 74.4% | (*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th)) | |
| 99.4% | (*.f64 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) | |
| 22.5% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 30.7% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) | |
| 95.0% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (sin.f64 th)) | |
| 6.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 kx) th) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) | |
| 28.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) | |
| 12.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) | |
| 15.8% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))))) | |
| ✓ | 43.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
| 21.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) | |
| ▶ | 12.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
| 21.2% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) | |
| 19.6% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) | |
| 12.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -1/2 binary64))))) | |
| 21.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) | |
| 16.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) | |
| ✓ | 28.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
| 11.7% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) | |
| 17.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) | |
| 13.7% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) | |
| ▶ | 13.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
Compiled 1 988 to 1 460 computations (26.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th)) | |
| cost-diff | 1 | (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) | |
| cost-diff | 3 | (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) | |
| cost-diff | 0 | (sin.f64 th) | |
| cost-diff | 0 | (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) | |
| cost-diff | 0 | (sin.f64 ky) | |
| cost-diff | 0 | (*.f64 (sin.f64 ky) th) | |
| cost-diff | 0 | (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) | |
| cost-diff | 0 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) | |
| cost-diff | 0 | (pow.f64 th #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th) | |
| cost-diff | 0 | #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th)) | |
| cost-diff | 0 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) 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 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 373 |
| 0 | 82 | 363 |
| 1 | 119 | 356 |
| 2 | 185 | 354 |
| 3 | 335 | 344 |
| 4 | 600 | 344 |
| 5 | 939 | 344 |
| 6 | 1367 | 344 |
| 7 | 1783 | 344 |
| 8 | 1996 | 344 |
| 9 | 2074 | 344 |
| 10 | 2075 | 344 |
| 11 | 2075 | 344 |
| 0 | 2075 | 338 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
#s(literal 1 binary64) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin.f64 ky) |
ky |
(sin.f64 kx) |
kx |
(sin.f64 th) |
th |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th)) |
(fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th) |
(pow.f64 th #s(literal 3 binary64)) |
th |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(*.f64 (sin.f64 ky) th) |
(sin.f64 ky) |
ky |
th |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) |
(cos.f64 (*.f64 #s(literal 2 binary64) kx)) |
(*.f64 #s(literal 2 binary64) kx) |
#s(literal 2 binary64) |
kx |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
(sin.f64 th) |
th |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal 2 binary64) kx)) |
(*.f64 #s(literal 2 binary64) kx) |
#s(literal 2 binary64) |
kx |
(sin.f64 ky) |
ky |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) |
(sin.f64 ky) |
ky |
(/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 ky #s(literal 2 binary64))) |
(*.f64 ky #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) |
(cos.f64 (*.f64 #s(literal 2 binary64) kx)) |
(*.f64 #s(literal 2 binary64) kx) |
kx |
(sin.f64 th) |
th |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
#s(literal 1 binary64) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin.f64 ky) |
ky |
(sin.f64 kx) |
kx |
(sin.f64 th) |
th |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) th))) |
#s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th)) |
#s(approx (sin th) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) th)) |
(fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th) |
(fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) th) |
(pow.f64 th #s(literal 3 binary64)) |
th |
#s(literal 3 binary64) |
#s(literal -1/6 binary64) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)))) (*.f64 th (sin.f64 ky)))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)))) (*.f64 th (sin.f64 ky))) |
(*.f64 (sin.f64 ky) th) |
(*.f64 th (sin.f64 ky)) |
(sin.f64 ky) |
ky |
th |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
(sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
(/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) |
(cos.f64 (*.f64 #s(literal 2 binary64) kx)) |
(*.f64 #s(literal 2 binary64) kx) |
#s(literal 2 binary64) |
kx |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
(sin.f64 th) |
th |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal 2 binary64) kx)) |
(*.f64 #s(literal 2 binary64) kx) |
#s(literal 2 binary64) |
kx |
(sin.f64 ky) |
ky |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (sin.f64 th)) (sqrt.f64 (fma.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -2 binary64) #s(literal 4 binary64)))) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (sqrt.f64 (fma.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -2 binary64) #s(literal 4 binary64)))) |
(sin.f64 ky) |
ky |
(/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(sqrt.f64 (fma.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -2 binary64) #s(literal 4 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
(fma.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -2 binary64) #s(literal 4 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 ky #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal 2 binary64) ky)) |
(*.f64 ky #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) ky) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
(fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) |
(cos.f64 (*.f64 #s(literal 2 binary64) kx)) |
(*.f64 #s(literal 2 binary64) kx) |
kx |
(sin.f64 th) |
th |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.24609817720695992 | (cos.f64 (*.f64 ky #s(literal 2 binary64))) | |
| accuracy | 2.4226777693431263 | (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) | |
| accuracy | 15.637789675724967 | (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) | |
| accuracy | 17.29887086654888 | (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) | |
| accuracy | 0.25228500976844204 | (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) | |
| accuracy | 0.3014450195368841 | (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) | |
| accuracy | 13.621937819072617 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) | |
| accuracy | 15.637789675724967 | (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) | |
| accuracy | 2.5066580490498445 | (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) | |
| accuracy | 14.124313093577145 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) | |
| accuracy | 15.637789675724967 | (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) | |
| accuracy | 53.689263297994096 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) | |
| accuracy | 0.0 | (pow.f64 th #s(literal 3 binary64)) | |
| accuracy | 0.0546875 | (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th) | |
| accuracy | 33.2977060041492 | #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th)) | |
| accuracy | 45.72922249507079 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) | |
| accuracy | 0.0234375 | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) | |
| accuracy | 0.125 | (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) | |
| accuracy | 0.1875 | (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) | |
| accuracy | 0.1875 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
| 150.0ms | 114× | 2 | valid |
| 100.0ms | 80× | 1 | valid |
| 58.0ms | 56× | 0 | valid |
| 22.0ms | 6× | 3 | valid |
Compiled 377 to 45 computations (88.1% saved)
ival-cos: 68.0ms (28.9% of total)ival-sin: 33.0ms (14% of total)ival-mult: 30.0ms (12.7% of total)ival-div: 27.0ms (11.5% of total)adjust: 21.0ms (8.9% of total)ival-sqrt: 14.0ms (5.9% of total)ival-add: 9.0ms (3.8% of total)ival-sub: 8.0ms (3.4% of total)ival-pow2: 8.0ms (3.4% of total)ival-hypot: 7.0ms (3% of total)const: 6.0ms (2.5% of total)ival-pow: 4.0ms (1.7% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th)) |
(fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th) |
(pow.f64 th #s(literal 3 binary64)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(*.f64 (sin.f64 ky) th) |
(sin.f64 ky) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
(sin.f64 th) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(cos.f64 (*.f64 ky #s(literal 2 binary64))) |
| Outputs |
|---|
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 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)))))))))))) |
(+ 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)))))) |
(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)))))) |
(/ (* th (* (sin ky) (sqrt 1/2))) kx) |
(/ (+ (* 1/12 (/ (* (pow kx 2) (* th (sin ky))) (sqrt 1/2))) (* th (* (sin ky) (sqrt 1/2)))) kx) |
(/ (+ (* th (* (sin ky) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* th (sin ky)) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* th (* (sin ky) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))) kx) |
(/ (+ (* th (* (sin ky) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* th (sin ky)) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* th (* (sin ky) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* th (* (sin ky) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))))) kx) |
(/ (* (sin ky) (* (sin th) (sqrt 1/2))) kx) |
(/ (+ (* 1/12 (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 1/2))) (* (sin ky) (* (sin th) (sqrt 1/2)))) kx) |
(/ (+ (* (sin ky) (* (sin th) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (sin th)) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))) kx) |
(/ (+ (* (sin ky) (* (sin th) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (sin th)) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* (sin ky) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))))) kx) |
(/ (* kx (sqrt 2)) (sin ky)) |
(* kx (+ (* -1/3 (/ (pow kx 2) (* (sin ky) (sqrt 2)))) (/ (sqrt 2) (sin ky)))) |
(* kx (+ (* (pow kx 2) (- (* 1/2 (/ (* (pow kx 2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (* (sin ky) (sqrt 2)))) (* 1/3 (/ 1 (* (sin ky) (sqrt 2)))))) (/ (sqrt 2) (sin ky)))) |
(* kx (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sin ky) (sqrt 2)))) (* 1/2 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (* (sin ky) (sqrt 2)))))) (* 1/3 (/ 1 (* (sin ky) (sqrt 2)))))) (/ (sqrt 2) (sin ky)))) |
(* kx (sqrt 2)) |
(* kx (+ (sqrt 2) (* -1/3 (/ (pow kx 2) (sqrt 2))))) |
(* kx (+ (sqrt 2) (* (pow kx 2) (- (* 1/2 (/ (* (pow kx 2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/3 (/ 1 (sqrt 2))))))) |
(* kx (+ (sqrt 2) (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/3 (/ 1 (sqrt 2))))))) |
(* 2 (- 1 (cos (* 2 ky)))) |
(+ (* 2 (- 1 (cos (* 2 ky)))) (* 4 (pow kx 2))) |
(+ (* 2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 4 (* -4/3 (pow kx 2))))) |
(+ (* 2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 4 (* (pow kx 2) (- (* 8/45 (pow kx 2)) 4/3))))) |
(* 4 (pow kx 2)) |
(* (pow kx 2) (+ 4 (* -4/3 (pow kx 2)))) |
(* (pow kx 2) (+ 4 (* (pow kx 2) (- (* 8/45 (pow kx 2)) 4/3)))) |
(* (pow kx 2) (+ 4 (* (pow kx 2) (- (* (pow kx 2) (+ 8/45 (* -4/315 (pow kx 2)))) 4/3)))) |
(* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(+ (* -1 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))) |
(+ (* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1 (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))))) |
(+ (* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1 (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))) (* (/ (* (sin ky) (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))))))) |
(* 2 (* (* (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(+ (* -1 (* (/ (* (pow kx 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 2 (* (* (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))) |
(+ (* 2 (* (* (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))))) |
(+ (* 2 (* (* (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky)))))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))) (* (/ (* (sin ky) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))))))) |
(* 2 (pow kx 2)) |
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2)))) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3)))) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3)))) |
(/ (sqrt 1/2) kx) |
(/ (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))) kx) |
(/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx) |
(/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx) |
(* (sqrt 2) (sqrt (- 1 (cos (* 2 ky))))) |
(+ (* 2 (* (/ (pow kx 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky)))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ (* (pow kx 2) (- 8/45 (* -2 (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))))))) |
(* (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))))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(* (* th (sin ky)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(* (/ 1 (sin ky)) (sqrt (- 1 (cos (* 2 kx))))) |
(sqrt (- 1 (cos (* 2 kx)))) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))) |
(* 2 (- 1 (cos (* 2 kx)))) |
(* 2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(- 1 (cos (* 2 kx))) |
(sqrt (/ 1 (- 1 (cos (* 2 kx))))) |
(sqrt (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky)))))) |
(/ 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)))) |
(/ (* 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 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) |
(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)))))) |
(* (* ky th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(* ky (+ (* -1/6 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))) |
(* ky (+ (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
(* ky (+ (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(* 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))))))) |
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)))) |
(* (* ky (sin th)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(* ky (+ (* -1/6 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))) |
(* ky (+ (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
(* ky (+ (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(* (/ 1 ky) (sqrt (- 1 (cos (* 2 kx))))) |
(/ (+ (sqrt (- 1 (cos (* 2 kx)))) (* 1/6 (* (pow ky 2) (sqrt (- 1 (cos (* 2 kx))))))) ky) |
(/ (+ (sqrt (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ (* 7/360 (* (pow ky 2) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/6 (sqrt (- 1 (cos (* 2 kx)))))))) ky) |
(/ (+ (sqrt (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ (* 1/6 (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 31/15120 (* (pow ky 2) (sqrt (- 1 (cos (* 2 kx)))))) (* 7/360 (sqrt (- 1 (cos (* 2 kx)))))))))) ky) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* 4 (pow ky 2))) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 4 (* -4/3 (pow ky 2))))) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 2)) 4/3))))) |
(* 2 (* (* ky (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))))))) (* 2 (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/240 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) (* 2 (+ (* 1/120 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))) |
(* 2 (* (* ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* 1/120 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))))))) (* 2 (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/240 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) (* 2 (+ (* 1/120 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))) |
(* 2 (pow ky 2)) |
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2)))) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3)))) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3)))) |
(* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) |
(+ (* 2 (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (* (pow ky 2) (- 8/45 (* -2 (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(+ 1 (* -2 (pow ky 2))) |
(+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))) |
(+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))) |
(* th (sin ky)) |
(- 1 (cos (* 2 ky))) |
(cos (* 2 ky)) |
(* (* 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)))))))))))) |
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)))) |
(pow th 3) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(* 2 (* (* th (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(* th (+ (* -1/3 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))) |
(* th (+ (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/3 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 1/60 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))))) |
(* th (+ (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/3 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/2520 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 1/60 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))))))) |
(* -1/6 (pow th 3)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | kx | @ | inf | ((/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (* (/ 1 (/ (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)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (pow th 3) -1/6) th) (pow th 3) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (sin ky) th) (sin ky) (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (sqrt (- 1 (cos (* 2 kx)))) (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (* 2 (- 1 (cos (* 2 kx)))) (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (- 1 (cos (* 2 kx))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (- 1 (cos (* ky 2))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* ky 2))) |
| 16.0ms | th | @ | -inf | ((/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (* (/ 1 (/ (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)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (pow th 3) -1/6) th) (pow th 3) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (sin ky) th) (sin ky) (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (sqrt (- 1 (cos (* 2 kx)))) (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (* 2 (- 1 (cos (* 2 kx)))) (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (- 1 (cos (* 2 kx))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (- 1 (cos (* ky 2))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* ky 2))) |
| 13.0ms | ky | @ | inf | ((/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (* (/ 1 (/ (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)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (pow th 3) -1/6) th) (pow th 3) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (sin ky) th) (sin ky) (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (sqrt (- 1 (cos (* 2 kx)))) (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (* 2 (- 1 (cos (* 2 kx)))) (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (- 1 (cos (* 2 kx))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (- 1 (cos (* ky 2))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* ky 2))) |
| 11.0ms | ky | @ | 0 | ((/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (* (/ 1 (/ (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)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (pow th 3) -1/6) th) (pow th 3) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (sin ky) th) (sin ky) (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (sqrt (- 1 (cos (* 2 kx)))) (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (* 2 (- 1 (cos (* 2 kx)))) (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (- 1 (cos (* 2 kx))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (- 1 (cos (* ky 2))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* ky 2))) |
| 10.0ms | kx | @ | 0 | ((/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (* (/ 1 (/ (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)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (pow th 3) -1/6) th) (pow th 3) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (sin ky) th) (sin ky) (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (sqrt (- 1 (cos (* 2 kx)))) (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (* 2 (- 1 (cos (* 2 kx)))) (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (- 1 (cos (* 2 kx))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (- 1 (cos (* ky 2))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* ky 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1010 | 6150 |
| 1 | 3361 | 5531 |
| 0 | 8355 | 5264 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 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)))))))))))) |
(+ 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)))))) |
(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)))))) |
(/ (* th (* (sin ky) (sqrt 1/2))) kx) |
(/ (+ (* 1/12 (/ (* (pow kx 2) (* th (sin ky))) (sqrt 1/2))) (* th (* (sin ky) (sqrt 1/2)))) kx) |
(/ (+ (* th (* (sin ky) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* th (sin ky)) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* th (* (sin ky) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))) kx) |
(/ (+ (* th (* (sin ky) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* th (sin ky)) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* th (* (sin ky) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* th (* (sin ky) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))))) kx) |
(/ (* (sin ky) (* (sin th) (sqrt 1/2))) kx) |
(/ (+ (* 1/12 (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 1/2))) (* (sin ky) (* (sin th) (sqrt 1/2)))) kx) |
(/ (+ (* (sin ky) (* (sin th) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (sin th)) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))) kx) |
(/ (+ (* (sin ky) (* (sin th) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (sin th)) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* (sin ky) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))))) kx) |
(/ (* kx (sqrt 2)) (sin ky)) |
(* kx (+ (* -1/3 (/ (pow kx 2) (* (sin ky) (sqrt 2)))) (/ (sqrt 2) (sin ky)))) |
(* kx (+ (* (pow kx 2) (- (* 1/2 (/ (* (pow kx 2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (* (sin ky) (sqrt 2)))) (* 1/3 (/ 1 (* (sin ky) (sqrt 2)))))) (/ (sqrt 2) (sin ky)))) |
(* kx (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sin ky) (sqrt 2)))) (* 1/2 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (* (sin ky) (sqrt 2)))))) (* 1/3 (/ 1 (* (sin ky) (sqrt 2)))))) (/ (sqrt 2) (sin ky)))) |
(* kx (sqrt 2)) |
(* kx (+ (sqrt 2) (* -1/3 (/ (pow kx 2) (sqrt 2))))) |
(* kx (+ (sqrt 2) (* (pow kx 2) (- (* 1/2 (/ (* (pow kx 2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/3 (/ 1 (sqrt 2))))))) |
(* kx (+ (sqrt 2) (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/3 (/ 1 (sqrt 2))))))) |
(* 2 (- 1 (cos (* 2 ky)))) |
(+ (* 2 (- 1 (cos (* 2 ky)))) (* 4 (pow kx 2))) |
(+ (* 2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 4 (* -4/3 (pow kx 2))))) |
(+ (* 2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 4 (* (pow kx 2) (- (* 8/45 (pow kx 2)) 4/3))))) |
(* 4 (pow kx 2)) |
(* (pow kx 2) (+ 4 (* -4/3 (pow kx 2)))) |
(* (pow kx 2) (+ 4 (* (pow kx 2) (- (* 8/45 (pow kx 2)) 4/3)))) |
(* (pow kx 2) (+ 4 (* (pow kx 2) (- (* (pow kx 2) (+ 8/45 (* -4/315 (pow kx 2)))) 4/3)))) |
(* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(+ (* -1 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))) |
(+ (* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1 (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))))) |
(+ (* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1 (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))) (* (/ (* (sin ky) (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))))))) |
(* 2 (* (* (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(+ (* -1 (* (/ (* (pow kx 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 2 (* (* (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))) |
(+ (* 2 (* (* (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))))) |
(+ (* 2 (* (* (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky)))))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))) (* (/ (* (sin ky) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))))))) |
(* 2 (pow kx 2)) |
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2)))) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3)))) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3)))) |
(/ (sqrt 1/2) kx) |
(/ (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))) kx) |
(/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx) |
(/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx) |
(* (sqrt 2) (sqrt (- 1 (cos (* 2 ky))))) |
(+ (* 2 (* (/ (pow kx 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky)))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ (* (pow kx 2) (- 8/45 (* -2 (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))))))) |
(* (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))))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(* (* th (sin ky)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(* (/ 1 (sin ky)) (sqrt (- 1 (cos (* 2 kx))))) |
(sqrt (- 1 (cos (* 2 kx)))) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))) |
(* 2 (- 1 (cos (* 2 kx)))) |
(* 2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(- 1 (cos (* 2 kx))) |
(sqrt (/ 1 (- 1 (cos (* 2 kx))))) |
(sqrt (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky)))))) |
(/ 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)))) |
(/ (* 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 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) |
(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)))))) |
(* (* ky th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(* ky (+ (* -1/6 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))) |
(* ky (+ (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
(* ky (+ (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(* 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))))))) |
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)))) |
(* (* ky (sin th)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(* ky (+ (* -1/6 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))) |
(* ky (+ (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
(* ky (+ (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(* (/ 1 ky) (sqrt (- 1 (cos (* 2 kx))))) |
(/ (+ (sqrt (- 1 (cos (* 2 kx)))) (* 1/6 (* (pow ky 2) (sqrt (- 1 (cos (* 2 kx))))))) ky) |
(/ (+ (sqrt (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ (* 7/360 (* (pow ky 2) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/6 (sqrt (- 1 (cos (* 2 kx)))))))) ky) |
(/ (+ (sqrt (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ (* 1/6 (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 31/15120 (* (pow ky 2) (sqrt (- 1 (cos (* 2 kx)))))) (* 7/360 (sqrt (- 1 (cos (* 2 kx)))))))))) ky) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* 4 (pow ky 2))) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 4 (* -4/3 (pow ky 2))))) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 2)) 4/3))))) |
(* 2 (* (* ky (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))))))) (* 2 (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/240 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) (* 2 (+ (* 1/120 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))) |
(* 2 (* (* ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* 1/120 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))))))) (* 2 (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/240 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) (* 2 (+ (* 1/120 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))) |
(* 2 (pow ky 2)) |
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2)))) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3)))) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3)))) |
(* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) |
(+ (* 2 (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (* (pow ky 2) (- 8/45 (* -2 (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(+ 1 (* -2 (pow ky 2))) |
(+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))) |
(+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))) |
(* th (sin ky)) |
(- 1 (cos (* 2 ky))) |
(cos (* 2 ky)) |
(* (* 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)))))))))))) |
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)))) |
(pow th 3) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(* 2 (* (* th (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(* th (+ (* -1/3 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))) |
(* th (+ (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/3 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 1/60 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))))) |
(* th (+ (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/3 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/2520 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 1/60 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))))))) |
(* -1/6 (pow th 3)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(fma.f64 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 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)))) (*.f64 kx kx) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) #s(literal 1 binary64)) |
(sin th) |
(sin.f64 th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
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(+ 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)))))) |
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(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
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(/ (* th (* (sin ky) (sqrt 1/2))) kx) |
(/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx) |
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(/ (+ (* th (* (sin ky) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* th (sin ky)) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* th (* (sin ky) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))) kx) |
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(/ (+ (* th (* (sin ky) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* th (sin ky)) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* th (* (sin ky) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* th (* (sin ky) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))))) kx) |
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(/ (* (sin ky) (* (sin th) (sqrt 1/2))) kx) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx) |
(/ (+ (* 1/12 (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 1/2))) (* (sin ky) (* (sin th) (sqrt 1/2)))) kx) |
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(/ (+ (* (sin ky) (* (sin th) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (sin th)) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))) kx) |
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(/ (+ (* (sin ky) (* (sin th) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (sin th)) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* (sin ky) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))))) kx) |
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(/ (* kx (sqrt 2)) (sin ky)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx) (sin.f64 ky)) |
(* kx (+ (* -1/3 (/ (pow kx 2) (* (sin ky) (sqrt 2)))) (/ (sqrt 2) (sin ky)))) |
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(* kx (+ (* (pow kx 2) (- (* 1/2 (/ (* (pow kx 2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (* (sin ky) (sqrt 2)))) (* 1/3 (/ 1 (* (sin ky) (sqrt 2)))))) (/ (sqrt 2) (sin ky)))) |
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(* kx (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sin ky) (sqrt 2)))) (* 1/2 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (* (sin ky) (sqrt 2)))))) (* 1/3 (/ 1 (* (sin ky) (sqrt 2)))))) (/ (sqrt 2) (sin ky)))) |
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(* kx (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) kx) |
(* kx (+ (sqrt 2) (* -1/3 (/ (pow kx 2) (sqrt 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/3 binary64) (sqrt.f64 #s(literal 2 binary64))) kx) |
(* kx (+ (sqrt 2) (* (pow kx 2) (- (* 1/2 (/ (* (pow kx 2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/3 (/ 1 (sqrt 2))))))) |
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(* kx (+ (sqrt 2) (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/3 (/ 1 (sqrt 2))))))) |
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(* 2 (- 1 (cos (* 2 ky)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) |
(+ (* 2 (- 1 (cos (* 2 ky)))) (* 4 (pow kx 2))) |
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(+ (* 2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 4 (* -4/3 (pow kx 2))))) |
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(+ (* 2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 4 (* (pow kx 2) (- (* 8/45 (pow kx 2)) 4/3))))) |
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(* 4 (pow kx 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 kx kx)) |
(* (pow kx 2) (+ 4 (* -4/3 (pow kx 2)))) |
(*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx)) |
(* (pow kx 2) (+ 4 (* (pow kx 2) (- (* 8/45 (pow kx 2)) 4/3)))) |
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(* (pow kx 2) (+ 4 (* (pow kx 2) (- (* (pow kx 2) (+ 8/45 (* -4/315 (pow kx 2)))) 4/3)))) |
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(* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))) |
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(+ (* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1 (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))))) |
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(* 2 (pow kx 2)) |
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(* (sqrt 2) (sqrt (- 1 (cos (* 2 ky))))) |
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(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(- 1 (cos (* 2 kx))) |
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(/ 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 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (*.f64 ky ky))) ky) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (*.f64 ky ky)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky)) ky (/.f64 ky (sin.f64 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
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(/ (* ky (sin th)) (sin kx)) |
(/.f64 (*.f64 (sin.f64 th) ky) (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 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky) |
(* 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)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (sin.f64 th)) (fma.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/240 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th)) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky) |
(/ (sin kx) ky) |
(/.f64 (sin.f64 kx) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sin.f64 kx)) #s(literal -1/2 binary64) (fma.f64 #s(literal 7/360 binary64) (sin.f64 kx) (/.f64 #s(literal 1/12 binary64) (sin.f64 kx)))) (*.f64 ky ky) (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))) (*.f64 ky ky) (sin.f64 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sin.f64 kx)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sin.f64 kx)) #s(literal -1/12 binary64) (fma.f64 #s(literal 31/15120 binary64) (sin.f64 kx) (fma.f64 (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 kx)) #s(literal 1/2 binary64) (/.f64 #s(literal 7/720 binary64) (sin.f64 kx))))) (*.f64 ky ky) (fma.f64 #s(literal 7/360 binary64) (sin.f64 kx) (/.f64 #s(literal 1/12 binary64) (sin.f64 kx))))) (*.f64 ky ky) (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))) (*.f64 ky ky) (sin.f64 kx)) ky) |
(sin kx) |
(sin.f64 kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(fma.f64 (/.f64 (*.f64 ky ky) (sin.f64 kx)) #s(literal 1/2 binary64) (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 ky ky) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sin.f64 kx))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 ky ky) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 kx))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 kx))) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)) |
(* (* ky th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(*.f64 (*.f64 th ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(* ky (+ (* -1/6 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky) |
(* ky (+ (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 th (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)))) (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) th)) ky) |
(* ky (+ (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 th (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)))) (*.f64 ky ky) (*.f64 (*.f64 #s(literal -1/6 binary64) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) th)) ky) |
(* ky th) |
(*.f64 th ky) |
(* ky (+ th (* -1/6 (* (pow ky 2) th)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky) |
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th)))))) |
(*.f64 (fma.f64 (*.f64 th (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) (*.f64 ky ky) th) ky) |
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 th (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64))) (*.f64 ky ky) (*.f64 #s(literal -1/6 binary64) th)) (*.f64 ky ky) th) ky) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
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(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
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(* (* ky (sin th)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
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(* ky (+ (* -1/6 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))) |
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(* ky (+ (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 th) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 ky ky) (sin.f64 th))))) (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sin.f64 th))) ky) |
(* ky (+ (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (sin th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
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(* (/ 1 ky) (sqrt (- 1 (cos (* 2 kx))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky) |
(/ (+ (sqrt (- 1 (cos (* 2 kx)))) (* 1/6 (* (pow ky 2) (sqrt (- 1 (cos (* 2 kx))))))) ky) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) ky) |
(/ (+ (sqrt (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ (* 7/360 (* (pow ky 2) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/6 (sqrt (- 1 (cos (* 2 kx)))))))) ky) |
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(/ (+ (sqrt (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ (* 1/6 (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 31/15120 (* (pow ky 2) (sqrt (- 1 (cos (* 2 kx)))))) (* 7/360 (sqrt (- 1 (cos (* 2 kx)))))))))) ky) |
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(+ (* 2 (- 1 (cos (* 2 kx)))) (* 4 (pow ky 2))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 ky ky) #s(literal 4 binary64))) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 4 (* -4/3 (pow ky 2))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -4/3 binary64) #s(literal 4 binary64)) (*.f64 ky ky))) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 2)) 4/3))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 8/45 binary64) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))) |
(* 2 (* (* ky (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))))) ky) |
(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))))))) (* 2 (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
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(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/240 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) (* 2 (+ (* 1/120 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))) |
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(* 2 (* (* ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sqrt.f64 #s(literal 1/2 binary64))))) ky) |
(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* 1/120 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))))))) (* 2 (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
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(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/240 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) (* 2 (+ (* 1/120 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))) |
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(* 2 (pow ky 2)) |
(*.f64 (*.f64 ky ky) #s(literal 2 binary64)) |
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2)))) |
(*.f64 (fma.f64 (*.f64 ky ky) #s(literal -2/3 binary64) #s(literal 2 binary64)) (*.f64 ky ky)) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 ky ky) #s(literal 2 binary64)) (*.f64 ky ky)) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -2/315 binary64) #s(literal 4/45 binary64)) (*.f64 ky ky) #s(literal -2/3 binary64)) (*.f64 ky ky) #s(literal 2 binary64)) (*.f64 ky ky)) |
(* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* 2 (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 ky ky) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 4/3 binary64)) (*.f64 ky ky)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky ky) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (* (pow ky 2) (- 8/45 (* -2 (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
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(+ 1 (* -2 (pow ky 2))) |
(fma.f64 (*.f64 ky ky) #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))) |
(fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) |
(+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 ky ky) #s(literal 2/3 binary64)) (*.f64 ky ky) #s(literal -2 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) |
(* th (sin ky)) |
(*.f64 (sin.f64 ky) th) |
(- 1 (cos (* 2 ky))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) |
(cos (* 2 ky)) |
(cos.f64 (*.f64 #s(literal 2 binary64) ky)) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th)) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)) (sin.f64 ky))) 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)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)) (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)))) (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) 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 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (sin.f64 ky) (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))))) (*.f64 th th) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) th) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th) |
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th) |
(pow th 3) |
(pow.f64 th #s(literal 3 binary64)) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)) (sin.f64 ky))) th) |
(* th (+ (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))))) (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sin.f64 ky))) th) |
(* th (+ (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 #s(literal 1/120 binary64) (sin.f64 ky) (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))))) (*.f64 th th))) (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sin.f64 ky))) th) |
(* 2 (* (* th (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) |
(* th (+ (* -1/3 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)) (*.f64 #s(literal 2 binary64) (sin.f64 ky)))) th) |
(* th (+ (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/3 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 1/60 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (fma.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)) (*.f64 #s(literal -1/3 binary64) (sin.f64 ky)))) (*.f64 th th) (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) th) |
(* th (+ (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/3 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/2520 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 1/60 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (fma.f64 #s(literal 1/60 binary64) (sin.f64 ky) (*.f64 #s(literal -1/2520 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))))) (*.f64 th th) (*.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) (*.f64 th th) (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) th) |
(* -1/6 (pow th 3)) |
(*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th)))) (pow.f64 th #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 276 |
| 0 | 82 | 234 |
| 1 | 289 | 227 |
| 2 | 1807 | 227 |
| 0 | 8746 | 216 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th)) |
(fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th) |
(pow.f64 th #s(literal 3 binary64)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(*.f64 (sin.f64 ky) th) |
(sin.f64 ky) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
(sin.f64 th) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(cos.f64 (*.f64 ky #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (/.f64 (sin.f64 ky) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) #s(literal 1/4 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) #s(literal -2 binary64)) |
(*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (neg.f64 (sin.f64 ky))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 ky) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) #s(literal 2 binary64)) |
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64)) |
(*.f64 (sin.f64 ky) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 ky)))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (*.f64 (sin.f64 ky) #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (neg.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) |
(/.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (neg.f64 (sin.f64 ky)))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(exp.f64 (-.f64 (log.f64 (sin.f64 ky)) (*.f64 (log.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (/.f64 (sin.f64 th) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64))) (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) |
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 th) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) |
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(sin.f64 ky) |
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(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (sin.f64 ky)) |
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(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (sin.f64 th)) |
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(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (sin.f64 ky))) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
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(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 ky)))) |
(pow.f64 (/.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 th) #s(literal 1 binary64)) |
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(sin.f64 th) |
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(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 ky)) #s(literal 1 binary64)) |
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(/.f64 (-.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) ky))) (cos.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (cos.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal 2 binary64) ky)) |
Compiled 42 462 to 5 454 computations (87.2% saved)
69 alts after pruning (65 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 062 | 43 | 1 105 |
| Fresh | 10 | 22 | 32 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 2 | 4 |
| Total | 1 077 | 69 | 1 146 |
| Status | Accuracy | Program |
|---|---|---|
| 17.6% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) | |
| 15.2% | (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)))) | |
| 17.7% | (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))))) | |
| ✓ | 17.7% | (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
| 16.0% | (/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) | |
| 13.8% | (/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) | |
| 32.7% | (/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) | |
| 30.8% | (/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) | |
| 44.4% | (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| 51.2% | (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| 77.8% | (*.f64 (/.f64 (*.f64 (sin.f64 ky) #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) | |
| ▶ | 99.6% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
| 77.6% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 44.5% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 36.3% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) | |
| ▶ | 44.5% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
| 31.0% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 30.9% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 36.6% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 87.7% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| ✓ | 54.2% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 29.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) | |
| 33.4% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) | |
| 33.4% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) | |
| 77.6% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 th)) | |
| 77.7% | (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) #s(literal -1 binary64))) (sin.f64 th)) | |
| 53.0% | (*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1/2 binary64))) (sin.f64 th)) | |
| 99.6% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th)) | |
| 30.9% | (*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) | |
| 32.7% | (*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) | |
| 77.7% | (*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) (sin.f64 th)) | |
| 22.5% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 30.7% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) | |
| 15.7% | #s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) | |
| 13.7% | #s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) | |
| 17.6% | #s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) | |
| 32.6% | #s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) | |
| 77.6% | #s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) | |
| 37.7% | #s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) | |
| 28.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) | |
| 12.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) | |
| 12.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) | |
| 21.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) | |
| ✓ | 12.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
| ▶ | 13.1% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
| 11.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) | |
| 13.2% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) | |
| 21.2% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) | |
| 19.6% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) | |
| 8.2% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) | |
| 13.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) | |
| 21.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) | |
| 16.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) | |
| 10.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) | |
| 10.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) | |
| ✓ | 28.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
| 13.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) | |
| 10.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) | |
| 11.7% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) | |
| 17.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) | |
| 13.7% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) | |
| 13.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) | |
| 13.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) | |
| ▶ | 13.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
| ▶ | 13.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
| 13.7% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) | |
| 12.1% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) | |
| 7.2% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) | |
| 28.8% | #s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
Compiled 4 249 to 3 160 computations (25.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (sin.f64 ky) | |
| cost-diff | 0 | (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) | |
| cost-diff | 0 | (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th) | |
| cost-diff | 0 | #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th)) | |
| cost-diff | 0 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) | |
| cost-diff | 4 | (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) | |
| cost-diff | 0 | (sin.f64 ky) | |
| cost-diff | 0 | (*.f64 (sin.f64 ky) th) | |
| cost-diff | 0 | (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx)))))) | |
| cost-diff | 0 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) | |
| cost-diff | 0 | #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th)) | |
| cost-diff | 0 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th) | |
| cost-diff | 0 | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) | |
| cost-diff | 0 | (sin.f64 th) | |
| cost-diff | 0 | (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 537 |
| 0 | 103 | 514 |
| 1 | 161 | 514 |
| 2 | 246 | 500 |
| 3 | 400 | 500 |
| 4 | 637 | 500 |
| 5 | 870 | 500 |
| 6 | 955 | 500 |
| 7 | 1079 | 500 |
| 8 | 1185 | 500 |
| 9 | 1291 | 500 |
| 10 | 1390 | 500 |
| 11 | 1441 | 500 |
| 12 | 1474 | 500 |
| 0 | 1474 | 494 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin.f64 th) |
th |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin.f64 ky) |
ky |
(sin.f64 kx) |
kx |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
#s(literal -1/6 binary64) |
(*.f64 th th) |
th |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx)))))) |
(*.f64 (sin.f64 ky) th) |
(sin.f64 ky) |
ky |
th |
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx)))) |
#s(literal 1 binary64) |
#s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx)) |
(fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) |
(fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) |
#s(literal 4/45 binary64) |
(*.f64 kx kx) |
kx |
#s(literal -2/3 binary64) |
#s(literal 2 binary64) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
#s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th)) |
(fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th) |
(exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(log.f64 (pow.f64 th #s(literal 3/2 binary64))) |
(pow.f64 th #s(literal 3/2 binary64)) |
th |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal -1/6 binary64) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) |
(sin.f64 ky) |
ky |
(/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 ky #s(literal 2 binary64))) |
(*.f64 ky #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) |
(*.f64 #s(literal 4 binary64) (*.f64 kx kx)) |
#s(literal 4 binary64) |
(*.f64 kx kx) |
kx |
(sin.f64 th) |
th |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(sin.f64 th) |
th |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin.f64 ky) |
ky |
(sin.f64 kx) |
kx |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th)) |
#s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th) |
(fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(*.f64 (*.f64 th th) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 th th) |
th |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (*.f64 (sin.f64 ky) th))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (*.f64 (sin.f64 ky) th)) |
(*.f64 (sin.f64 ky) th) |
(sin.f64 ky) |
ky |
th |
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) |
(/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx)))) |
(/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))) |
#s(literal 1 binary64) |
#s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))) |
#s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx) |
(fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) |
(fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) |
(fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) |
(fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) |
#s(literal 4/45 binary64) |
(*.f64 kx kx) |
kx |
#s(literal -2/3 binary64) |
#s(literal 2 binary64) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th)) |
#s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th)) |
(fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th) |
(fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th) |
(exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(pow.f64 th #s(literal 3 binary64)) |
(*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(log.f64 (pow.f64 th #s(literal 3/2 binary64))) |
(pow.f64 th #s(literal 3/2 binary64)) |
th |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal -1/6 binary64) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))) |
(sin.f64 ky) |
ky |
(/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 ky #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal 2 binary64) ky)) |
(*.f64 ky #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) ky) |
#s(literal 2 binary64) |
#s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) |
(*.f64 #s(literal 4 binary64) (*.f64 kx kx)) |
#s(literal 4 binary64) |
(*.f64 kx kx) |
kx |
(sin.f64 th) |
th |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.24609817720695992 | (cos.f64 (*.f64 ky #s(literal 2 binary64))) | |
| accuracy | 2.4226777693431263 | (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) | |
| accuracy | 17.29887086654888 | (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) | |
| accuracy | 31.375051574983104 | #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) | |
| accuracy | 1.7153973871550328 | (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) | |
| accuracy | 23.491688201514123 | (log.f64 (pow.f64 th #s(literal 3/2 binary64))) | |
| accuracy | 33.2977060041492 | #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th)) | |
| accuracy | 45.72922249507079 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) | |
| accuracy | 2.5066580490498445 | (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx)))))) | |
| accuracy | 14.124313093577145 | (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))) | |
| accuracy | 30.94108954838865 | #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))) | |
| accuracy | 53.689263297994096 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) | |
| accuracy | 0.015625 | (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th) | |
| accuracy | 0.203125 | (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) | |
| accuracy | 33.2977060041492 | #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th)) | |
| accuracy | 45.72922249507079 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) | |
| accuracy | 0.0 | (sin.f64 kx) | |
| accuracy | 0.0234375 | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) | |
| accuracy | 0.2578125 | (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| accuracy | 0.28125 | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
| 194.0ms | 114× | 2 | valid |
| 105.0ms | 80× | 1 | valid |
| 45.0ms | 56× | 0 | valid |
| 10.0ms | 6× | 3 | valid |
Compiled 395 to 58 computations (85.3% saved)
ival-mult: 62.0ms (20.3% of total)ival-cos: 47.0ms (15.4% of total)ival-div: 37.0ms (12.1% of total)adjust: 27.0ms (8.8% of total)ival-add: 27.0ms (8.8% of total)ival-sin: 27.0ms (8.8% of total)const: 20.0ms (6.6% of total)ival-pow: 13.0ms (4.3% of total)ival-sqrt: 10.0ms (3.3% of total)ival-pow2: 10.0ms (3.3% of total)ival-hypot: 7.0ms (2.3% of total)ival-log: 7.0ms (2.3% of total)ival-sub: 6.0ms (2% of total)ival-exp: 5.0ms (1.6% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin.f64 th) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx)))))) |
(*.f64 (sin.f64 ky) th) |
(sin.f64 ky) |
(exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
#s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th)) |
(fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64)) |
(sin.f64 kx) |
#s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(log.f64 (pow.f64 th #s(literal 3/2 binary64))) |
#s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) |
(cos.f64 (*.f64 ky #s(literal 2 binary64))) |
| Outputs |
|---|
(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 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 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)))))) |
(/ (* th (* (sin ky) (sqrt 1/2))) kx) |
(/ (+ (* 1/12 (/ (* (pow kx 2) (* th (sin ky))) (sqrt 1/2))) (* th (* (sin ky) (sqrt 1/2)))) kx) |
(/ (+ (* th (* (sin ky) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* th (sin ky)) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* th (* (sin ky) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))) kx) |
(/ (+ (* th (* (sin ky) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* th (sin ky)) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* th (* (sin ky) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* th (* (sin ky) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))))) kx) |
(* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(+ (* -1 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))) |
(+ (* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1 (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))))) |
(+ (* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1 (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))) (* (/ (* (sin ky) (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))))))) |
(* 2 (* (* (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(+ (* -1 (* (/ (* (pow kx 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 2 (* (* (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))) |
(+ (* 2 (* (* (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))))) |
(+ (* 2 (* (* (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky)))))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))) (* (/ (* (sin ky) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))))))) |
(* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky)))))) |
(+ (* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky)))))) (* (/ (pow kx 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(+ (* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/4 (* (/ (* (pow kx 2) (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))) |
(+ (* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/4 (* (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/4 (* (/ (* (pow kx 2) (- 8/45 (* -2 (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))))))) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(* 2 (pow kx 2)) |
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2)))) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3)))) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3)))) |
(/ (sqrt 1/2) kx) |
(/ (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))) kx) |
(/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx) |
(/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx) |
(* 4 (pow kx 2)) |
(* (pow kx 2) (+ 4 (* -4/3 (pow kx 2)))) |
(* (pow kx 2) (+ 4 (* (pow kx 2) (- (* 8/45 (pow kx 2)) 4/3)))) |
(* (pow kx 2) (+ 4 (* (pow kx 2) (- (* (pow kx 2) (+ 8/45 (* -4/315 (pow kx 2)))) 4/3)))) |
(* (sqrt 2) (sqrt (- 1 (cos (* 2 ky))))) |
(+ (* 2 (* (/ (pow kx 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky)))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ (* (pow kx 2) (- 8/45 (* -2 (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))))))) |
(* (* (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))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(* (* th (sin ky)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(* 2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(* 1/2 (sqrt (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))) |
(sin kx) |
(- 1 (cos (* 2 kx))) |
(sqrt (/ 1 (- 1 (cos (* 2 kx))))) |
(* 2 (- 1 (cos (* 2 kx)))) |
(sqrt (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky)))))) |
(/ (* 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 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 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)))))) |
(* (* ky th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(* ky (+ (* -1/6 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))) |
(* ky (+ (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
(* ky (+ (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(* 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))))))) |
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)))) |
(* 2 (* (* ky (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))))))) (* 2 (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/240 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) (* 2 (+ (* 1/120 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))) |
(* 2 (* (* ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* 1/120 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))))))) (* 2 (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/240 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) (* 2 (+ (* 1/120 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))) |
(* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) |
(+ (* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
(+ (* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/4 (* (/ (* (pow ky 2) (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))) |
(+ (* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/4 (* (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/4 (* (/ (* (pow ky 2) (- 8/45 (* -2 (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(* 2 (pow ky 2)) |
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2)))) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3)))) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3)))) |
(* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) |
(+ (* 2 (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (* (pow ky 2) (- 8/45 (* -2 (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
1 |
(+ 1 (* -2 (pow ky 2))) |
(+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))) |
(+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))) |
(* th (sin ky)) |
(- 1 (cos (* 2 ky))) |
(cos (* 2 ky)) |
(* (* 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)))))))))))) |
(* 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))))))))))) |
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)))) |
(* -1/6 (pow th 2)) |
(pow th 3) |
(* 2 (* (* th (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(* th (+ (* -1/3 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))) |
(* th (+ (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/3 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 1/60 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))))) |
(* th (+ (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/3 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/2520 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 1/60 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))))))) |
(+ (log th) (log (sqrt th))) |
(* -1/6 (pow th 3)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(+ (log (sqrt (/ 1 th))) (* -2 (log (/ 1 th)))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(* -1 (* (pow th 3) (pow (sqrt -1) 2))) |
(* 1/6 (* (pow th 3) (pow (sqrt -1) 2))) |
(* -1 (* (pow th 3) (- (* -1/6 (pow (sqrt -1) 2)) (/ 1 (pow th 2))))) |
(+ (log (* (sqrt (/ 1 th)) (pow (sqrt -1) 2))) (* -2 (log (/ -1 th)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 47.0ms | th | @ | -inf | ((* (/ (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) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+ (* (* -1/6 (* th th)) th) th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* -1/6 (* th th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (sin ky) th) (sin ky) (exp (* (log (pow th 3/2)) 2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (exp (* (log (pow th 3/2)) 2)) -1/6) th) (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (sin kx) (- 1 (cos (* 2 kx))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (log (pow th 3/2)) (* 2 (- 1 (cos (* 2 kx)))) (- 1 (cos (* ky 2))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* ky 2))) |
| 46.0ms | th | @ | 0 | ((* (/ (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) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+ (* (* -1/6 (* th th)) th) th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* -1/6 (* th th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (sin ky) th) (sin ky) (exp (* (log (pow th 3/2)) 2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (exp (* (log (pow th 3/2)) 2)) -1/6) th) (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (sin kx) (- 1 (cos (* 2 kx))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (log (pow th 3/2)) (* 2 (- 1 (cos (* 2 kx)))) (- 1 (cos (* ky 2))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* ky 2))) |
| 19.0ms | th | @ | inf | ((* (/ (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) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+ (* (* -1/6 (* th th)) th) th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* -1/6 (* th th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (sin ky) th) (sin ky) (exp (* (log (pow th 3/2)) 2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (exp (* (log (pow th 3/2)) 2)) -1/6) th) (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (sin kx) (- 1 (cos (* 2 kx))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (log (pow th 3/2)) (* 2 (- 1 (cos (* 2 kx)))) (- 1 (cos (* ky 2))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* ky 2))) |
| 11.0ms | kx | @ | inf | ((* (/ (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) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+ (* (* -1/6 (* th th)) th) th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* -1/6 (* th th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (sin ky) th) (sin ky) (exp (* (log (pow th 3/2)) 2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (exp (* (log (pow th 3/2)) 2)) -1/6) th) (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (sin kx) (- 1 (cos (* 2 kx))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (log (pow th 3/2)) (* 2 (- 1 (cos (* 2 kx)))) (- 1 (cos (* ky 2))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* ky 2))) |
| 5.0ms | ky | @ | inf | ((* (/ (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) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+ (* (* -1/6 (* th th)) th) th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* -1/6 (* th th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (sin ky) th) (sin ky) (exp (* (log (pow th 3/2)) 2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (exp (* (log (pow th 3/2)) 2)) -1/6) th) (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (sin kx) (- 1 (cos (* 2 kx))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (log (pow th 3/2)) (* 2 (- 1 (cos (* 2 kx)))) (- 1 (cos (* ky 2))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* ky 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 866 | 5554 |
| 1 | 2827 | 4990 |
| 2 | 7032 | 4828 |
| 0 | 8016 | 4611 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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 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 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)))))) |
(/ (* th (* (sin ky) (sqrt 1/2))) kx) |
(/ (+ (* 1/12 (/ (* (pow kx 2) (* th (sin ky))) (sqrt 1/2))) (* th (* (sin ky) (sqrt 1/2)))) kx) |
(/ (+ (* th (* (sin ky) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* th (sin ky)) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* th (* (sin ky) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))) kx) |
(/ (+ (* th (* (sin ky) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* th (sin ky)) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* th (* (sin ky) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* th (* (sin ky) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))))) kx) |
(* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(+ (* -1 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))) |
(+ (* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1 (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))))) |
(+ (* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1 (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))) (* (/ (* (sin ky) (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))))))) |
(* 2 (* (* (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(+ (* -1 (* (/ (* (pow kx 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 2 (* (* (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))) |
(+ (* 2 (* (* (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))))) |
(+ (* 2 (* (* (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky)))))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))) (* (/ (* (sin ky) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 ky)))))))))) |
(* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky)))))) |
(+ (* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky)))))) (* (/ (pow kx 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(+ (* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/4 (* (/ (* (pow kx 2) (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))) |
(+ (* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/4 (* (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/4 (* (/ (* (pow kx 2) (- 8/45 (* -2 (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))))))) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(* 2 (pow kx 2)) |
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2)))) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3)))) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3)))) |
(/ (sqrt 1/2) kx) |
(/ (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))) kx) |
(/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx) |
(/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx) |
(* 4 (pow kx 2)) |
(* (pow kx 2) (+ 4 (* -4/3 (pow kx 2)))) |
(* (pow kx 2) (+ 4 (* (pow kx 2) (- (* 8/45 (pow kx 2)) 4/3)))) |
(* (pow kx 2) (+ 4 (* (pow kx 2) (- (* (pow kx 2) (+ 8/45 (* -4/315 (pow kx 2)))) 4/3)))) |
(* (sqrt 2) (sqrt (- 1 (cos (* 2 ky))))) |
(+ (* 2 (* (/ (pow kx 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky)))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ (* (pow kx 2) (- 8/45 (* -2 (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))))))) |
(* (* (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))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(* (* th (sin ky)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(* 2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(* 1/2 (sqrt (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))) |
(sin kx) |
(- 1 (cos (* 2 kx))) |
(sqrt (/ 1 (- 1 (cos (* 2 kx))))) |
(* 2 (- 1 (cos (* 2 kx)))) |
(sqrt (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky)))))) |
(/ (* 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 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 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)))))) |
(* (* ky th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(* ky (+ (* -1/6 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))) |
(* ky (+ (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
(* ky (+ (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(* 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))))))) |
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)))) |
(* 2 (* (* ky (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))))))) (* 2 (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/240 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) (* 2 (+ (* 1/120 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))) |
(* 2 (* (* ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* 1/120 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))))))) (* 2 (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/240 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) (* 2 (+ (* 1/120 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))) |
(* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) |
(+ (* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
(+ (* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/4 (* (/ (* (pow ky 2) (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))) |
(+ (* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/4 (* (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/4 (* (/ (* (pow ky 2) (- 8/45 (* -2 (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(* 2 (pow ky 2)) |
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2)))) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3)))) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3)))) |
(* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) |
(+ (* 2 (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (* (pow ky 2) (- 8/45 (* -2 (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
1 |
(+ 1 (* -2 (pow ky 2))) |
(+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))) |
(+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))) |
(* th (sin ky)) |
(- 1 (cos (* 2 ky))) |
(cos (* 2 ky)) |
(* (* 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)))))))))))) |
(* 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))))))))))) |
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)))) |
(* -1/6 (pow th 2)) |
(pow th 3) |
(* 2 (* (* th (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(* th (+ (* -1/3 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))) |
(* th (+ (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/3 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 1/60 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))))) |
(* th (+ (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/3 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/2520 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 1/60 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))))))) |
(+ (log th) (log (sqrt th))) |
(* -1/6 (pow th 3)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(+ (log (sqrt (/ 1 th))) (* -2 (log (/ 1 th)))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(* -1 (* (pow th 3) (pow (sqrt -1) 2))) |
(* 1/6 (* (pow th 3) (pow (sqrt -1) 2))) |
(* -1 (* (pow th 3) (- (* -1/6 (pow (sqrt -1) 2)) (/ 1 (pow th 2))))) |
(+ (log (* (sqrt (/ 1 th)) (pow (sqrt -1) 2))) (* -2 (log (/ -1 th)))) |
| Outputs |
|---|
(sin th) |
(sin.f64 th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (sin.f64 th)) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky))) |
(fma.f64 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (sin.f64 ky)) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 kx kx) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sin.f64 th)) (sin.f64 ky)))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 kx kx) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.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)))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (*.f64 kx (/.f64 kx (sin.f64 ky)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (sin.f64 ky)) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 2/45 binary64)) (*.f64 kx (/.f64 kx (sin.f64 ky)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 ky))) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (sin.f64 ky)) |
(/ (* th (* (sin ky) (sqrt 1/2))) kx) |
(*.f64 (*.f64 (sin.f64 ky) th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)) |
(/ (+ (* 1/12 (/ (* (pow kx 2) (* th (sin ky))) (sqrt 1/2))) (* th (* (sin ky) (sqrt 1/2)))) kx) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 kx kx) th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/12 binary64) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64)))) kx) |
(/ (+ (* th (* (sin ky) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* th (sin ky)) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* th (* (sin ky) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))) kx) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 kx kx) th) (*.f64 #s(literal 7/360 binary64) (sin.f64 ky))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) #s(literal 1/12 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64)))) kx) |
(/ (+ (* th (* (sin ky) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/12 (/ (* th (sin ky)) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* th (* (sin ky) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* th (* (sin ky) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))))) kx) |
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(* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky)))))) |
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kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
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(/ (sqrt 1/2) kx) |
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(* (pow kx 2) (+ 4 (* (pow kx 2) (- (* (pow kx 2) (+ 8/45 (* -4/315 (pow kx 2)))) 4/3)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 kx kx) #s(literal 8/45 binary64)) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx)) |
(* (sqrt 2) (sqrt (- 1 (cos (* 2 ky))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) |
(+ (* 2 (* (/ (pow kx 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 kx kx) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 4/3 binary64)) (*.f64 kx (/.f64 kx (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 kx kx) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ (* (pow kx 2) (- 8/45 (* -2 (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))))))) |
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(* (* (sin ky) (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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(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(* (* th (sin ky)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
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(* 2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
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(* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) |
(* 1/2 (sqrt (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))) |
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(sin kx) |
(sin.f64 kx) |
(- 1 (cos (* 2 kx))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) |
(sqrt (/ 1 (- 1 (cos (* 2 kx))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
(* 2 (- 1 (cos (* 2 kx)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)) |
(sqrt (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky)))))) |
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(/ (* ky (sin th)) (sin kx)) |
(*.f64 (sin.f64 th) (/.f64 ky (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 (fma.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky) |
(* 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 th) (sin kx)) |
(/.f64 (sin.f64 th) (sin.f64 kx)) |
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx))) |
(fma.f64 (*.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th)) (sin.f64 kx)) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (sin.f64 th)) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.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)))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (*.f64 ky (/.f64 ky (sin.f64 kx)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 2/45 binary64)) (*.f64 ky (/.f64 ky (sin.f64 kx)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 kx))) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)) |
(* (* ky th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) |
(*.f64 (*.f64 ky th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(* ky (+ (* -1/6 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky) |
(* ky (+ (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 th (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) th)) ky) |
(* ky (+ (* th (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) th) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/120 (* th (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 th (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 ky ky) (*.f64 (*.f64 #s(literal -1/6 binary64) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) th)) ky) |
(* ky th) |
(*.f64 ky th) |
(* ky (+ th (* -1/6 (* (pow ky 2) th)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky) |
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th)))))) |
(*.f64 (fma.f64 (*.f64 th (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 ky ky) th) ky) |
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 th (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 ky ky) (*.f64 #s(literal -1/6 binary64) th)) (*.f64 ky ky) th) ky) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky) |
(* 2 (* (* ky (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))))) ky) |
(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))))))) (* 2 (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (*.f64 (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) (*.f64 ky ky) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) (*.f64 ky ky) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) ky) |
(* ky (+ (* 2 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (+ (* -1/2 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/240 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) (* 2 (+ (* 1/120 (* (* (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -1 binary64) (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/12 binary64) (*.f64 (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/240 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) (*.f64 ky ky) (fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (*.f64 (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))))) (*.f64 ky ky) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) #s(literal 2 binary64))) (*.f64 ky ky))) ky) |
(* 2 (* (* ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sqrt.f64 #s(literal 1/2 binary64))))) ky) |
(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* 1/120 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))))))) (* 2 (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/120 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64))))))) (*.f64 ky ky) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) (*.f64 ky ky) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) ky) |
(* ky (+ (* 2 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 2 (+ (* -1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))) (* (pow ky 2) (+ (* 2 (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -1/2 (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))) (* 2 (/ (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/240 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) (* 2 (+ (* 1/120 (* (sqrt 1/2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/12 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 1/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 1/2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -1 binary64) (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/12 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (/.f64 #s(literal -1/240 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/5040 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) (*.f64 ky ky) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/120 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64))))))))) (*.f64 ky ky) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) #s(literal 2 binary64))) (*.f64 ky ky) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) ky) |
(* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
(+ (* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky ky) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(+ (* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/4 (* (/ (* (pow ky 2) (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 4/3 binary64)) (*.f64 ky (/.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky ky))) |
(+ (* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/4 (* (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/4 (* (/ (* (pow ky 2) (- 8/45 (* -2 (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 4/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 8/45 binary64)) (*.f64 ky (/.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 4/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 ky ky) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 ky ky) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(* 2 (pow ky 2)) |
(*.f64 (*.f64 ky ky) #s(literal 2 binary64)) |
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2)))) |
(*.f64 (fma.f64 (*.f64 ky ky) #s(literal -2/3 binary64) #s(literal 2 binary64)) (*.f64 ky ky)) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 ky ky) #s(literal 2 binary64)) (*.f64 ky ky)) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -2/315 binary64) #s(literal 4/45 binary64)) (*.f64 ky ky) #s(literal -2/3 binary64)) (*.f64 ky ky) #s(literal 2 binary64)) (*.f64 ky ky)) |
(* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* 2 (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 ky ky) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 4/3 binary64)) (*.f64 ky (/.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky ky) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (* (pow ky 2) (- 8/45 (* -2 (/ (+ 4/3 (* 4 (/ 1 (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 4/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 8/45 binary64)) (*.f64 ky (/.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 4/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 ky ky) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (*.f64 ky ky) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (pow ky 2))) |
(fma.f64 (*.f64 ky ky) #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2))) |
(fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/3 binary64) #s(literal -2 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) |
(+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 ky ky) #s(literal 2/3 binary64)) (*.f64 ky ky) #s(literal -2 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) |
(* th (sin ky)) |
(*.f64 (sin.f64 ky) th) |
(- 1 (cos (* 2 ky))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) |
(cos (* 2 ky)) |
(cos.f64 (*.f64 #s(literal 2 binary64) ky)) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th)) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)) (sin.f64 ky))) 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)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)) (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)))) (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) 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 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (sin.f64 ky) (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))))) (*.f64 th th) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) th) |
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th) |
(* 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 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) 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))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 th th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) 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 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1/6 binary64))) (*.f64 th th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) th) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th) |
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th) |
(* -1/6 (pow th 2)) |
(*.f64 (*.f64 th th) #s(literal -1/6 binary64)) |
(pow th 3) |
(pow.f64 th #s(literal 3 binary64)) |
(* 2 (* (* th (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) |
(* th (+ (* -1/3 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)) (*.f64 #s(literal 2 binary64) (sin.f64 ky)))) th) |
(* th (+ (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/3 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 1/60 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (fma.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 th th) (sin.f64 ky)) (*.f64 #s(literal -1/3 binary64) (sin.f64 ky)))) (*.f64 th th) (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) th) |
(* th (+ (* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/3 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/2520 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) (* 1/60 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (fma.f64 #s(literal 1/60 binary64) (sin.f64 ky) (*.f64 #s(literal -1/2520 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))))) (*.f64 th th) (*.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) (*.f64 th th) (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) th) |
(+ (log th) (log (sqrt th))) |
(+.f64 (log.f64 (sqrt.f64 th)) (log.f64 th)) |
(* -1/6 (pow th 3)) |
(*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))) |
(+ (log (sqrt (/ 1 th))) (* -2 (log (/ 1 th)))) |
(fma.f64 (log.f64 th) #s(literal 2 binary64) (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) th)))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th)))) (pow.f64 th #s(literal 3 binary64))) |
(* -1 (* (pow th 3) (pow (sqrt -1) 2))) |
(pow.f64 th #s(literal 3 binary64)) |
(* 1/6 (* (pow th 3) (pow (sqrt -1) 2))) |
(*.f64 (neg.f64 (pow.f64 th #s(literal 3 binary64))) #s(literal 1/6 binary64)) |
(* -1 (* (pow th 3) (- (* -1/6 (pow (sqrt -1) 2)) (/ 1 (pow th 2))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th)))) (pow.f64 th #s(literal 3 binary64))) |
(+ (log (* (sqrt (/ 1 th)) (pow (sqrt -1) 2))) (* -2 (log (/ -1 th)))) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) th)) #s(literal -2 binary64) (log.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) th))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 405 |
| 0 | 103 | 382 |
| 1 | 357 | 363 |
| 2 | 2193 | 363 |
| 0 | 9134 | 363 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin.f64 th) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx)))))) |
(*.f64 (sin.f64 ky) th) |
(sin.f64 ky) |
(exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
#s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th)) |
(fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64)) |
(sin.f64 kx) |
#s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))) |
(log.f64 (pow.f64 th #s(literal 3/2 binary64))) |
#s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) |
(cos.f64 (*.f64 ky #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (sin.f64 th)) #s(literal -1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 th) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (/.f64 (sin.f64 ky) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th))) (neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky))) (neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th)))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64))) (neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64))) (neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))) |
(/.f64 (neg.f64 (sin.f64 th)) (neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))) |
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 th)) |
(*.f64 (neg.f64 (sin.f64 th)) (pow.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (sin.f64 th) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 th)))) (neg.f64 (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) |
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 th))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(/.f64 (neg.f64 (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(neg.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) #s(literal -1 binary64))) |
(sin.f64 th) |
(*.f64 (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1 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 (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1 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 (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1 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 (pow.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))) #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))) (sqrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))) #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 (pow.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))) #s(literal -1 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 (pow.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))) |
(-.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) |
(+.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (neg.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) #s(literal 2 binary64))))) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (neg.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) (-.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) #s(literal 3 binary64)))) (pow.f64 (pow.f64 (fma.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) (-.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) #s(literal 2 binary64)))))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (neg.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) (-.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (neg.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) (-.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (neg.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))))) |
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (*.f64 #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))))))) |
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) (-.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (neg.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) (-.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) #s(literal 3 binary64)))))) |
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 1/2 binary64))) |
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 ky) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 6 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 ky) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))) |
(/.f64 (-.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) ky))) (cos.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (cos.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal 2 binary64) ky)) |
Compiled 23 110 to 2 769 computations (88% saved)
81 alts after pruning (77 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 545 | 24 | 569 |
| Fresh | 7 | 53 | 60 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 3 | 4 |
| Total | 557 | 81 | 638 |
| Status | Accuracy | Program |
|---|---|---|
| 17.6% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) | |
| 15.2% | (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)))) | |
| 17.7% | (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))))) | |
| ✓ | 17.7% | (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
| 16.0% | (/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) | |
| 13.8% | (/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) | |
| 32.7% | (/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) | |
| 30.8% | (/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) | |
| 99.6% | (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) | |
| 44.4% | (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| 51.2% | (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| 77.8% | (*.f64 (/.f64 (*.f64 (sin.f64 ky) #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) | |
| 58.0% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) | |
| 58.0% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) | |
| 55.9% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) | |
| 77.6% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 44.5% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 36.3% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 27.0% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) | |
| 26.9% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) | |
| 27.0% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) | |
| 31.0% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 87.7% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| 29.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) | |
| 30.9% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) | |
| 36.6% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) | |
| 33.4% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) | |
| 47.9% | (*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) | |
| 19.2% | (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 33.4% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) | |
| 77.6% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 th)) | |
| 77.7% | (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) #s(literal -1 binary64))) (sin.f64 th)) | |
| 53.0% | (*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1/2 binary64))) (sin.f64 th)) | |
| 42.7% | (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))))) | |
| 44.5% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))))) | |
| 33.4% | (*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) | |
| 30.9% | (*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) | |
| 32.7% | (*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) | |
| 77.7% | (*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) (sin.f64 th)) | |
| 22.5% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 30.7% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) | |
| 15.7% | #s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) | |
| 13.7% | #s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) | |
| 17.6% | #s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) | |
| 32.6% | #s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) | |
| 77.6% | #s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) | |
| 37.7% | #s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) | |
| 13.2% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) | |
| 28.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) | |
| 13.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) | |
| 12.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) | |
| 12.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) | |
| 21.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) | |
| ✓ | 12.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
| 13.2% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) | |
| 21.2% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) | |
| 19.6% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) | |
| 8.2% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) | |
| 13.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) | |
| 21.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) | |
| 16.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) | |
| 12.1% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) | |
| 10.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) | |
| 12.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) | |
| 10.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) | |
| 12.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) | |
| ✓ | 28.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
| 13.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) | |
| 10.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) | |
| 11.7% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) | |
| 17.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) | |
| 13.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) | |
| 13.7% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) | |
| 13.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) | |
| 13.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) | |
| ✓ | 13.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
| 13.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) | |
| 13.7% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) | |
| 12.1% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) | |
| 7.2% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) | |
| 28.8% | #s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
Compiled 6 069 to 2 517 computations (58.5% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 kx) th) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -1/2 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))))) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (sin.f64 ky) #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (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 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(*.f64 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1/2 binary64))) (sin.f64 th)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64))) (sin.f64 ky)) (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 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) #s(literal -1 binary64))) (sin.f64 th)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 th)) |
| Outputs |
|---|
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
9 calls:
| 52.0ms | (sin.f64 th) |
| 40.0ms | kx |
| 36.0ms | ky |
| 34.0ms | (sin.f64 ky) |
| 33.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 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 42 to 51 computations (-21.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
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(*.f64 (/.f64 (*.f64 (sin.f64 ky) #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (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 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
9 calls:
| 49.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 36.0ms | th |
| 34.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 34.0ms | (sin.f64 th) |
| 31.0ms | (sin.f64 kx) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | kx |
| 99.6% | 1 | ky |
| 99.6% | 1 | th |
| 99.6% | 1 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 99.6% | 1 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 99.6% | 1 | (sin.f64 ky) |
| 99.6% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 99.6% | 1 | (sin.f64 kx) |
| 99.6% | 1 | (sin.f64 th) |
Compiled 42 to 51 computations (-21.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 kx) th) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -1/2 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))))) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) (sin.f64 th)) |
(*.f64 (/.f64 (*.f64 (sin.f64 ky) #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
9 calls:
| 312.0ms | (sin.f64 th) |
| 32.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 31.0ms | (sin.f64 kx) |
| 31.0ms | ky |
| 29.0ms | th |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.8% | 2 | th |
| 87.8% | 3 | (sin.f64 th) |
| 99.5% | 2 | kx |
| 98.9% | 2 | ky |
| 88.5% | 5 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 99.5% | 4 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 98.9% | 3 | (sin.f64 ky) |
| 99.5% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 99.5% | 3 | (sin.f64 kx) |
Compiled 42 to 51 computations (-21.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 kx) th) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -1/2 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))))) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) |
8 calls:
| 30.0ms | ky |
| 26.0ms | th |
| 25.0ms | (sin.f64 ky) |
| 25.0ms | (sin.f64 th) |
| 25.0ms | (sin.f64 kx) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.7% | 4 | (sin.f64 th) |
| 78.2% | 2 | th |
| 90.2% | 5 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 85.0% | 4 | (sin.f64 ky) |
| 83.5% | 3 | (sin.f64 kx) |
| 82.7% | 2 | ky |
| 83.3% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 83.7% | 2 | kx |
Compiled 26 to 38 computations (-46.2% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 kx) th) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -1/2 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))))) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) |
1 calls:
| 23.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.2% | 5 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 kx) th) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -1/2 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))))) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) |
1 calls:
| 22.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.2% | 5 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 kx) th) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -1/2 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))))) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 23.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 5 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 kx) th) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -1/2 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))))) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
5 calls:
| 24.0ms | ky |
| 24.0ms | kx |
| 23.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 22.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 20.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.6% | 2 | ky |
| 73.4% | 3 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 74.9% | 3 | kx |
| 66.1% | 5 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 86.9% | 5 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 35 to 36 computations (-2.9% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 kx) th) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -1/2 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 22.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 5 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 kx) th) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
6 calls:
| 33.0ms | th |
| 29.0ms | ky |
| 22.0ms | (sin.f64 kx) |
| 21.0ms | (sin.f64 th) |
| 21.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 5 | (sin.f64 th) |
| 57.4% | 2 | th |
| 64.2% | 3 | ky |
| 67.1% | 5 | (sin.f64 ky) |
| 74.7% | 4 | (sin.f64 kx) |
| 80.3% | 5 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 21 to 29 computations (-38.1% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 22.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 5 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 23.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 5 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))))) |
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx)))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 68.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 5 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 ky) th)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 17.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 5 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
2 calls:
| 48.0ms | kx |
| 25.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.7% | 3 | kx |
| 74.1% | 3 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 14 to 14 computations (0% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 17.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.6% | 3 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
| Outputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
3 calls:
| 38.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 22.0ms | (sin.f64 kx) |
| 16.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.4% | 4 | (sin.f64 kx) |
| 62.3% | 4 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 66.0% | 3 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 19 to 21 computations (-10.5% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (log.f64 (pow.f64 th #s(literal 3 binary64)))) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 th #s(literal 3/2 binary64))) #s(literal 2 binary64))) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
2 calls:
| 21.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 16.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.7% | 3 | kx |
| 65.2% | 3 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 14 to 14 computations (0% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 17.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.1% | 3 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 12.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.1% | 3 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) |
| Outputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) |
8 calls:
| 30.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 23.0ms | th |
| 16.0ms | (sin.f64 ky) |
| 16.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 13.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.9% | 2 | th |
| 58.7% | 3 | kx |
| 58.7% | 3 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 58.9% | 4 | (sin.f64 kx) |
| 49.7% | 4 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 48.8% | 3 | (sin.f64 ky) |
| 48.9% | 3 | ky |
| 56.9% | 2 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 40 to 47 computations (-17.5% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
| Outputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
2 calls:
| 12.0ms | kx |
| 11.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.7% | 3 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 58.7% | 3 | kx |
Compiled 5 to 9 computations (-80% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) kx)) |
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (- 1 (cos (* 2 kx)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) kx)) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (/ (sin th) (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky))) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (- 1 (cos (* 2 kx)))) (sin ky)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
| Outputs |
|---|
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
5 calls:
| 30.0ms | (sin.f64 th) |
| 12.0ms | kx |
| 11.0ms | (sin.f64 kx) |
| 11.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 11.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.1% | 4 | (sin.f64 kx) |
| 53.4% | 2 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 40.1% | 5 | (sin.f64 th) |
| 47.1% | 3 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 47.1% | 3 | kx |
Compiled 22 to 28 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 10.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.4% | 2 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
| Outputs |
|---|
#s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 8.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.6% | 2 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 1/2 binary64))) kx))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 kx kx) #s(literal 2 binary64))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx)))) (sin.f64 ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (- 1 (cos (* 2 kx))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) kx)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (pow.f64 th #s(literal 3/4 binary64)) #s(literal 4 binary64)) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
7 calls:
| 11.0ms | ky |
| 8.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 8.0ms | (sin.f64 ky) |
| 8.0ms | (sin.f64 kx) |
| 8.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.9% | 2 | kx |
| 34.9% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 35.4% | 3 | (sin.f64 kx) |
| 39.0% | 3 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 35.6% | 2 | (sin.f64 ky) |
| 35.7% | 2 | ky |
| 41.0% | 2 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 39 to 44 computations (-12.8% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (pow th 3) -1/6) th) (*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th))) |
| Outputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
3 calls:
| 34.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 4.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 4.0ms | th |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.3% | 3 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 33.3% | 2 | th |
| 37.2% | 2 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 30 to 27 computations (10% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
| Outputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
9 calls:
| 29.0ms | th |
| 3.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 3.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 3.0ms | (sin.f64 ky) |
| 3.0ms | (sin.f64 th) |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.2% | 2 | th |
| 20.0% | 3 | (sin.f64 kx) |
| 20.0% | 2 | kx |
| 20.0% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 18.3% | 2 | (sin.f64 th) |
| 21.4% | 2 | (sin.f64 ky) |
| 21.5% | 2 | ky |
| 22.9% | 2 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 23.2% | 2 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 42 to 51 computations (-21.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
| Outputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
1 calls:
| 3.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 23.2% | 2 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
Total -0.4b remaining (-0.8%)
Threshold costs -0.4b (-0.8%)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) |
| Outputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
9 calls:
| 2.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 2.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 2.0ms | (sin.f64 th) |
| 2.0ms | th |
| 2.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 13.9% | 1 | th |
| 13.9% | 1 | (sin.f64 th) |
| 13.9% | 1 | (sin.f64 kx) |
| 13.9% | 1 | kx |
| 13.9% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 13.9% | 1 | (sin.f64 ky) |
| 13.9% | 1 | ky |
| 13.9% | 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)) |
| 13.9% | 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))))) |
Compiled 42 to 51 computations (-21.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.013037821893865731 | 0.02581400422500628 |
| 18.0ms | 64× | 0 | valid |
Compiled 323 to 246 computations (23.8% saved)
ival-sin: 13.0ms (82.7% of total)ival-pow2: 1.0ms (6.4% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9950587863243627 | 0.9999999232986234 |
| 0.0ms | 0.14588474409866414 | 0.24175185805185628 |
| 0.0ms | -0.0753549475120582 | 1.8992871613809093e-304 |
| 0.0ms | -0.9997645592300617 | -0.9594739944463542 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9950587863243627 | 0.9999999232986234 |
| 0.0ms | 0.14588474409866414 | 0.24175185805185628 |
| 0.0ms | -0.0753549475120582 | 1.8992871613809093e-304 |
| 0.0ms | -0.9997645592300617 | -0.9594739944463542 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9950587863243627 | 0.9999999232986234 |
| 0.0ms | 0.14588474409866414 | 0.24175185805185628 |
| 0.0ms | -0.0753549475120582 | 1.8992871613809093e-304 |
| 0.0ms | -0.9997645592300617 | -0.9594739944463542 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9950587863243627 | 0.9999999232986234 |
| 0.0ms | 0.14588474409866414 | 0.24175185805185628 |
| 0.0ms | -0.0753549475120582 | 1.8992871613809093e-304 |
| 0.0ms | -0.9997645592300617 | -0.9594739944463542 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9950587863243627 | 0.9999999232986234 |
| 0.0ms | 1.2075273577963755e-12 | 2.2799026172493215e-7 |
| 0.0ms | -0.0753549475120582 | 1.8992871613809093e-304 |
| 0.0ms | -0.9997645592300617 | -0.9594739944463542 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9950587863243627 | 0.9999999232986234 |
| 0.0ms | 1.2075273577963755e-12 | 2.2799026172493215e-7 |
| 0.0ms | -0.0753549475120582 | 1.8992871613809093e-304 |
| 0.0ms | -0.9997645592300617 | -0.9594739944463542 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9950587863243627 | 0.9999999232986234 |
| 0.0ms | 1.2075273577963755e-12 | 2.2799026172493215e-7 |
| 0.0ms | -0.0753549475120582 | 1.8992871613809093e-304 |
| 0.0ms | -0.9997645592300617 | -0.9594739944463542 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9950587863243627 | 0.9999999232986234 |
| 0.0ms | 1.2075273577963755e-12 | 2.2799026172493215e-7 |
| 0.0ms | -0.0753549475120582 | 1.8992871613809093e-304 |
| 0.0ms | -0.9997645592300617 | -0.9594739944463542 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9950587863243627 | 0.9999999232986234 |
| 0.0ms | 1.2075273577963755e-12 | 2.2799026172493215e-7 |
| 0.0ms | -0.0753549475120582 | 1.8992871613809093e-304 |
| 0.0ms | -0.9997645592300617 | -0.9594739944463542 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9950587863243627 | 0.9999999232986234 |
| 0.0ms | 1.2075273577963755e-12 | 2.2799026172493215e-7 |
| 0.0ms | -0.0753549475120582 | 1.8992871613809093e-304 |
| 0.0ms | -0.9997645592300617 | -0.9594739944463542 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9950587863243627 | 0.9999999232986234 |
| 0.0ms | 1.2075273577963755e-12 | 2.2799026172493215e-7 |
| 0.0ms | -0.0753549475120582 | 1.8992871613809093e-304 |
| 0.0ms | -0.9997645592300617 | -0.9594739944463542 |
Compiled 19 to 19 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.6590822209764889 | 0.7491658473771511 |
| 0.0ms | -0.7437361412623668 | -0.6666009902260417 |
Compiled 19 to 19 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.004852969573710546 | 0.14588474409866414 |
| 0.0ms | -0.0753549475120582 | 1.8992871613809093e-304 |
Compiled 19 to 19 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.004852969573710546 | 0.14588474409866414 |
| 0.0ms | -0.0753549475120582 | 1.8992871613809093e-304 |
Compiled 19 to 19 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.004852969573710546 | 0.14588474409866414 |
| 0.0ms | -0.0753549475120582 | 1.8992871613809093e-304 |
Compiled 19 to 19 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.004852969573710546 | 0.14588474409866414 |
| 0.0ms | -0.0753549475120582 | 1.8992871613809093e-304 |
Compiled 19 to 19 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.004852969573710546 | 0.14588474409866414 |
| 0.0ms | -0.0753549475120582 | 1.8992871613809093e-304 |
Compiled 19 to 19 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.00028877664409427745 | 0.0006759416013042587 |
| 64.0ms | 7.197333388452698e-147 | 5.58205086331458e-146 |
| 70.0ms | 176× | 0 | valid |
Compiled 612 to 493 computations (19.4% saved)
ival-sin: 58.0ms (89% of total)ival-pow2: 3.0ms (4.6% of total)ival-div: 1.0ms (1.5% of total)ival-add: 1.0ms (1.5% of total)ival-mult: 1.0ms (1.5% of total)ival-sqrt: 1.0ms (1.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.00028877664409427745 | 0.0006759416013042587 |
| 1.0ms | 7.197333388452698e-147 | 5.58205086331458e-146 |
Compiled 627 to 503 computations (19.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.004852969573710546 | 0.14588474409866414 |
Compiled 19 to 19 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.004852969573710546 | 0.14588474409866414 |
Compiled 19 to 19 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.004852969573710546 | 0.14588474409866414 |
Compiled 19 to 19 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.004852969573710546 | 0.14588474409866414 |
Compiled 19 to 19 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.007929526580938e-36 | 6.148517667125439e-36 |
Compiled 19 to 19 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.007929526580938e-36 | 6.148517667125439e-36 |
Compiled 19 to 19 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.007929526580938e-36 | 6.148517667125439e-36 |
Compiled 19 to 19 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 296 | 4077 |
| 1 | 343 | 4017 |
| 2 | 414 | 4017 |
| 3 | 590 | 4017 |
| 4 | 898 | 3959 |
| 5 | 1399 | 3959 |
| 6 | 2145 | 3959 |
| 7 | 3243 | 3959 |
| 8 | 5133 | 3959 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(if (<=.f64 kx #s(literal 3170534137668829/144115188075855872 binary64)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) #s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))))) |
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(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))))) #s(literal 2 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)))) |
(if (<=.f64 kx #s(literal 6186006467496895/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (if (<=.f64 kx #s(literal 2674777890687885/9223372036854775808 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) (*.f64 #s(approx (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)))) |
(if (<=.f64 kx #s(literal 6186006467496895/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (if (<=.f64 kx #s(literal 2674777890687885/9223372036854775808 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) #s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/1152921504606846976 binary64)) (/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th)))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
| Outputs |
|---|
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(if (<=.f64 kx #s(literal 3170534137668829/144115188075855872 binary64)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) #s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1080863910568919/1125899906842624 binary64)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/72057594037927936 binary64)) (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2242792614430507/2251799813685248 binary64)) (*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)))))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1080863910568919/1125899906842624 binary64)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/72057594037927936 binary64)) (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2242792614430507/2251799813685248 binary64)) (*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)))))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1080863910568919/1125899906842624 binary64)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2242792614430507/2251799813685248 binary64)) (*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 ky)))))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1080863910568919/1125899906842624 binary64)) (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2242792614430507/2251799813685248 binary64)) (*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)))))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1080863910568919/1125899906842624 binary64)) (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 kx kx) #s(literal -4/3 binary64)) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))))) #s(literal 2 binary64))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2242792614430507/2251799813685248 binary64)) (*.f64 (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)))))) |
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(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (pow.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))) #s(literal -1 binary64))))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th)))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) th) #s(literal -1/6 binary64) th) ky)) (sqrt.f64 (pow.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))) #s(literal -1 binary64))))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th)))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))))))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th)))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 #s(approx (* (sin ky) th) (*.f64 ky th)) (sqrt.f64 (pow.f64 #s(approx (- 1 (cos (* 2 kx))) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx))) #s(literal -1 binary64))))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 49 |
| 0 | 22 | 49 |
| 1 | 62 | 49 |
| 2 | 344 | 49 |
| 3 | 2978 | 49 |
| 0 | 8260 | 34 |
| 0 | 47 | 276 |
| 0 | 82 | 234 |
| 1 | 289 | 227 |
| 2 | 1807 | 227 |
| 0 | 8746 | 216 |
| 0 | 36 | 206 |
| 0 | 59 | 181 |
| 1 | 206 | 177 |
| 2 | 1193 | 173 |
| 0 | 9494 | 173 |
| 0 | 317 | 1402 |
| 1 | 1011 | 1353 |
| 2 | 3865 | 1261 |
| 3 | 7812 | 1261 |
| 0 | 8115 | 1188 |
| 0 | 61 | 405 |
| 0 | 103 | 382 |
| 1 | 357 | 363 |
| 2 | 2193 | 363 |
| 0 | 9134 | 363 |
| 0 | 579 | 2942 |
| 1 | 1919 | 2861 |
| 2 | 7387 | 2799 |
| 0 | 8109 | 2605 |
| 0 | 1010 | 6150 |
| 1 | 3361 | 5531 |
| 0 | 8355 | 5264 |
| 0 | 866 | 5554 |
| 1 | 2827 | 4990 |
| 2 | 7032 | 4828 |
| 0 | 8016 | 4611 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 6 884 to 2 272 computations (67% saved)
(negabs ky)
(negabs th)
(abs kx)
Compiled 8 256 to 674 computations (91.8% saved)
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