Toniolo and Linder, Equation (3b), real
Time bar (total: 12.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 6 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 7 |
| 53.1% | 53% | 46.8% | 0.1% | 0% | 0% | 0% | 8 |
| 60.9% | 60.8% | 39% | 0.1% | 0% | 0% | 0% | 9 |
| 60.9% | 60.8% | 39% | 0.1% | 0% | 0% | 0% | 10 |
| 64.8% | 64.7% | 35.1% | 0.1% | 0% | 0% | 0% | 11 |
| 68.4% | 68.3% | 31.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 18 to 14 computations (22.2% saved)
| 1.3s | 8 256× | 0 | valid |
ival-sin: 608.0ms (59.2% of total)ival-pow2: 188.0ms (18.3% of total)ival-sqrt: 63.0ms (6.1% of total)ival-mult: 57.0ms (5.6% of total)ival-div: 55.0ms (5.4% of total)ival-add: 46.0ms (4.5% of total)ival-true: 7.0ms (0.7% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 8 | 0 | - | 0 | - | (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 | 8 | 0 |
| ↳ | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) | underflow | 51 | |
| ↳ | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) | underflow | 44 | |
| ↳ | (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) | underflow | 8 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 8 | 0 |
| - | 0 | 248 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 8 | 0 | 0 |
| - | 0 | 0 | 248 |
| number | freq |
|---|---|
| 0 | 248 |
| 1 | 8 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 125.0ms | 512× | 0 | valid |
Compiled 218 to 56 computations (74.3% saved)
ival-sin: 58.0ms (72.2% of total)ival-pow2: 9.0ms (11.2% of total)ival-sqrt: 4.0ms (5% of total)ival-div: 3.0ms (3.7% of total)ival-mult: 3.0ms (3.7% of total)ival-add: 2.0ms (2.5% of total)ival-true: 1.0ms (1.2% 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 |
|---|---|---|
| ▶ | 96.6% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
Compiled 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 | 7424 | (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 | 0.20703125 | (/.f64 (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 | 0.26953125 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) | |
| accuracy | 0.293632519536884 | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) | |
| accuracy | 2.0001167639437085 | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
| 71.0ms | 256× | 0 | valid |
Compiled 134 to 28 computations (79.1% saved)
ival-sin: 17.0ms (60.7% of total)ival-pow2: 5.0ms (17.9% of total)ival-mult: 2.0ms (7.1% of total)ival-sqrt: 2.0ms (7.1% of total)ival-div: 1.0ms (3.6% of total)ival-add: 1.0ms (3.6% 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 ky) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 kx) #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 | |
|---|---|---|---|---|
| 6.0ms | 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 ky) 2) (pow (sin kx) 2)) |
| 5.0ms | 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 ky) 2) (pow (sin kx) 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 ky) 2) (pow (sin kx) 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 ky) 2) (pow (sin kx) 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 ky) 2) (pow (sin kx) 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 ky) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 kx) #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 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)))) |
(*.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)))) |
Compiled 9 472 to 1 772 computations (81.3% saved)
20 alts after pruning (20 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 350 | 20 | 370 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 351 | 20 | 371 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) | |
| ▶ | 97.4% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| ▶ | 99.6% | (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
| ▶ | 98.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))) |
| 96.2% | (*.f64 (/.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))) (sin.f64 th)) | |
| 99.5% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) | |
| 79.9% | (*.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) (*.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)) | |
| 86.7% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) #s(literal 1 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)))))) (sin.f64 th)) | |
| 43.8% | (*.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)) | |
| 89.4% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| ▶ | 49.3% | (*.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)) |
| 27.6% | (*.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)) | |
| 99.4% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th)) | |
| 73.6% | (*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) | |
| 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))) | |
| 23.2% | (*.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)) | |
| 23.7% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) | |
| 46.8% | #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))))))) | |
| ▶ | 29.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
Compiled 772 to 588 computations (23.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))) | |
| cost-diff | 0 | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) | |
| 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 | (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 | 32 | 219 |
| 0 | 52 | 212 |
| 1 | 70 | 212 |
| 2 | 81 | 212 |
| 3 | 97 | 212 |
| 4 | 146 | 212 |
| 5 | 158 | 212 |
| 6 | 168 | 212 |
| 0 | 168 | 212 |
| 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 |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))) |
#s(literal 1 binary64) |
(/.f64 (/.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)) |
(sin.f64 ky) |
ky |
(sin.f64 kx) |
kx |
(sin.f64 th) |
th |
| Outputs |
|---|
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) |
(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 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) |
(*.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 |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (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))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) (sin.f64 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 |
(sin.f64 th) |
th |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05078125 | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) | |
| accuracy | 0.12890625 | (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) | |
| accuracy | 0.23828125 | (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) | |
| accuracy | 0.6413631718386436 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))) | |
| accuracy | 0.0 | (sin.f64 kx) | |
| accuracy | 0.05078125 | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) | |
| accuracy | 0.23828125 | (*.f64 (sin.f64 th) (sin.f64 ky)) | |
| accuracy | 1.6413189531227075 | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| accuracy | 0.20703125 | (/.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))))) | |
| accuracy | 0.293632519536884 | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) | |
| accuracy | 2.0001167639437085 | (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) | |
| accuracy | 34.82240031886187 | #s(approx (pow (sin kx) 2) (*.f64 kx kx)) | |
| accuracy | 0.0 | (sin.f64 th) | |
| accuracy | 45.10773410753826 | #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 | 0.05078125 | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) | |
| accuracy | 0.12890625 | (/.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))) |
| 66.0ms | 256× | 0 | valid |
Compiled 480 to 57 computations (88.1% saved)
ival-sin: 25.0ms (51.5% of total)ival-div: 8.0ms (16.5% of total)ival-mult: 4.0ms (8.2% of total)ival-hypot: 4.0ms (8.2% of total)ival-pow2: 4.0ms (8.2% of total)ival-sqrt: 2.0ms (4.1% of total)ival-add: 1.0ms (2.1% 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 (sin.f64 th) (sin.f64 ky)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(sin.f64 kx) |
#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))) |
| 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)))))) |
(/ 1 (sin th)) |
(+ (* 1/2 (/ (pow kx 2) (* (pow (sin ky) 2) (sin th)))) (/ 1 (sin th))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (* (pow (sin ky) 2) (sin th)))) (* 1/2 (/ 1 (* (pow (sin ky) 2) (sin th)))))) (/ 1 (sin th))) |
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (* (pow (sin ky) 2) (sin th)))) (* 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) (sin th)))))) (* 1/2 (/ 1 (* (pow (sin ky) 2) (sin th)))))) (/ 1 (sin th))) |
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)))) |
(* (* (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))))) |
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sin kx) |
(pow (sin kx) 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)))))))) |
(/ (sin kx) (* ky (sin th))) |
(/ (+ (* (pow ky 2) (+ (* 1/6 (/ (sin kx) (sin th))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th))) ky) |
(/ (+ (* (pow ky 2) (+ (* 1/6 (/ (sin kx) (sin th))) (+ (* 1/2 (/ 1 (* (sin kx) (sin th)))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (+ (* 7/360 (/ (sin kx) (sin th))) (* 1/12 (/ 1 (* (sin kx) (sin th)))))))))) (/ (sin kx) (sin th))) ky) |
(/ (+ (* (pow ky 2) (+ (* 1/6 (/ (sin kx) (sin th))) (+ (* 1/2 (/ 1 (* (sin kx) (sin th)))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (+ (* 7/360 (/ (sin kx) (sin th))) (+ (* 1/12 (/ 1 (* (sin kx) (sin th)))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (+ (* 31/15120 (/ (sin kx) (sin th))) (+ (* 7/720 (/ 1 (* (sin kx) (sin th)))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (* (sin kx) (sin th))))))))))))))) (/ (sin kx) (sin th))) ky) |
(pow ky 2) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(* (sin ky) (sin th)) |
(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)))))))))))) |
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)))) |
(* th (sin ky)) |
(* 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)))))))) |
(* (/ 1 (* th (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/ (+ (* 1/6 (* (/ (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) th) |
(/ (+ (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* 7/360 (* (/ (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) th) |
(/ (+ (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* 1/6 (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* 31/15120 (* (/ (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 7/360 (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) th) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | 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)) (/ 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)) (sin th)) (sin kx) (pow (sin kx) 2) (pow (sin ky) 2) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 4.0ms | 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)) (/ 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)) (sin th)) (sin kx) (pow (sin kx) 2) (pow (sin ky) 2) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 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)) (/ 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)) (sin th)) (sin kx) (pow (sin kx) 2) (pow (sin ky) 2) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 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)) (/ 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)) (sin th)) (sin kx) (pow (sin kx) 2) (pow (sin ky) 2) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 3.0ms | 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)) (/ 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)) (sin th)) (sin kx) (pow (sin kx) 2) (pow (sin ky) 2) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 518 | 2497 |
| 1 | 1671 | 2372 |
| 2 | 6223 | 2227 |
| 0 | 8711 | 2046 |
| 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)))))) |
(/ 1 (sin th)) |
(+ (* 1/2 (/ (pow kx 2) (* (pow (sin ky) 2) (sin th)))) (/ 1 (sin th))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (* (pow (sin ky) 2) (sin th)))) (* 1/2 (/ 1 (* (pow (sin ky) 2) (sin th)))))) (/ 1 (sin th))) |
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (* (pow (sin ky) 2) (sin th)))) (* 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) (sin th)))))) (* 1/2 (/ 1 (* (pow (sin ky) 2) (sin th)))))) (/ 1 (sin th))) |
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)))) |
(* (* (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))))) |
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(sin kx) |
(pow (sin kx) 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)))))))) |
(/ (sin kx) (* ky (sin th))) |
(/ (+ (* (pow ky 2) (+ (* 1/6 (/ (sin kx) (sin th))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th))) ky) |
(/ (+ (* (pow ky 2) (+ (* 1/6 (/ (sin kx) (sin th))) (+ (* 1/2 (/ 1 (* (sin kx) (sin th)))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (+ (* 7/360 (/ (sin kx) (sin th))) (* 1/12 (/ 1 (* (sin kx) (sin th)))))))))) (/ (sin kx) (sin th))) ky) |
(/ (+ (* (pow ky 2) (+ (* 1/6 (/ (sin kx) (sin th))) (+ (* 1/2 (/ 1 (* (sin kx) (sin th)))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (+ (* 7/360 (/ (sin kx) (sin th))) (+ (* 1/12 (/ 1 (* (sin kx) (sin th)))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (+ (* 31/15120 (/ (sin kx) (sin th))) (+ (* 7/720 (/ 1 (* (sin kx) (sin th)))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (* (sin kx) (sin th))))))))))))))) (/ (sin kx) (sin th))) ky) |
(pow ky 2) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(* (sin ky) (sin th)) |
(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)))))))))))) |
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)))) |
(* th (sin ky)) |
(* 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)))))))) |
(* (/ 1 (* th (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/ (+ (* 1/6 (* (/ (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) th) |
(/ (+ (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* 7/360 (* (/ (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) th) |
(/ (+ (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* 1/6 (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* 31/15120 (* (/ (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 7/360 (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) th) |
| 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 #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 #s(literal -1/2 binary64) (sin.f64 th)) (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 (*.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 (*.f64 kx kx) #s(literal -1/2 binary64)) (*.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))))) (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (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 (/.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))) 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 (-.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 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #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)) (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 (/.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)) 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 (-.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))) |
(+ 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) (* (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 (*.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 (*.f64 kx kx) #s(literal -1/2 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 (+.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)) |
(/ 1 (sin th)) |
(/.f64 #s(literal 1 binary64) (sin.f64 th)) |
(+ (* 1/2 (/ (pow kx 2) (* (pow (sin ky) 2) (sin th)))) (/ 1 (sin th))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 th)) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (* (pow (sin ky) 2) (sin th)))) (* 1/2 (/ 1 (* (pow (sin ky) 2) (sin th)))))) (/ 1 (sin th))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 th)) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (/.f64 #s(literal 1 binary64) (sin.f64 th))) |
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (* (pow (sin ky) 2) (sin th)))) (* 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) (sin th)))))) (* 1/2 (/ 1 (* (pow (sin ky) 2) (sin th)))))) (/ 1 (sin th))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 th)) (*.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 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 th)) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 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)) |
(* (* (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)) |
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) (sin.f64 th)) |
(sin kx) |
(sin.f64 kx) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #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)) (*.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 #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 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 (/.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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (+.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 (fma.f64 (*.f64 (sin.f64 th) (sin.f64 kx)) (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)))) (*.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) |
(/ (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 (+.f64 (fma.f64 #s(literal 7/360 binary64) (sin.f64 kx) (/.f64 #s(literal 1/12 binary64) (sin.f64 kx))) (/.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))) (*.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 (+.f64 (fma.f64 #s(literal 7/360 binary64) (sin.f64 kx) (/.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 (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)))) (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 (+.f64 (/.f64 #s(literal -1/48 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/36 binary64)) (sin.f64 kx))) (*.f64 ky ky) (/.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 (*.f64 (fma.f64 (/.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)) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) 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 ky ky) #s(literal 1/2 binary64)) (/.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)))) (sin.f64 kx)) (/.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 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 #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 #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) (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 (sin.f64 th) (fma.f64 (pow.f64 ky #s(literal 3 binary64)) #s(literal -1/6 binary64) 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) |
(/ (sin kx) (* ky (sin th))) |
(/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)) |
(/ (+ (* (pow ky 2) (+ (* 1/6 (/ (sin kx) (sin th))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th))) ky) |
(/.f64 (fma.f64 (fma.f64 (sin.f64 kx) (/.f64 #s(literal 1/6 binary64) (sin.f64 th)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 th)) (sin.f64 kx))) (*.f64 ky ky) (/.f64 (sin.f64 kx) (sin.f64 th))) ky) |
(/ (+ (* (pow ky 2) (+ (* 1/6 (/ (sin kx) (sin th))) (+ (* 1/2 (/ 1 (* (sin kx) (sin th)))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (+ (* 7/360 (/ (sin kx) (sin th))) (* 1/12 (/ 1 (* (sin kx) (sin th)))))))))) (/ (sin kx) (sin th))) ky) |
(/.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (sin.f64 kx) (/.f64 #s(literal 7/360 binary64) (sin.f64 th)) (/.f64 (/.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sin.f64 kx))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 th)) (sin.f64 kx))) (*.f64 ky ky) (fma.f64 (sin.f64 kx) (/.f64 #s(literal 1/6 binary64) (sin.f64 th)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 th)) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 (sin.f64 kx) (sin.f64 th))) ky) |
(/ (+ (* (pow ky 2) (+ (* 1/6 (/ (sin kx) (sin th))) (+ (* 1/2 (/ 1 (* (sin kx) (sin th)))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (+ (* 7/360 (/ (sin kx) (sin th))) (+ (* 1/12 (/ 1 (* (sin kx) (sin th)))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (+ (* 31/15120 (/ (sin kx) (sin th))) (+ (* 7/720 (/ 1 (* (sin kx) (sin th)))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (* (sin kx) (sin th))))))))))))))) (/ (sin kx) (sin th))) ky) |
(/.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 th)) (/.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)))) (sin.f64 kx)) (fma.f64 (sin.f64 kx) (/.f64 #s(literal 31/15120 binary64) (sin.f64 th)) (/.f64 (/.f64 #s(literal 7/720 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/48 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/36 binary64)) (sin.f64 th)) (sin.f64 kx))) (*.f64 ky ky) (fma.f64 (sin.f64 kx) (/.f64 #s(literal 7/360 binary64) (sin.f64 th)) (/.f64 (/.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 th)) (sin.f64 kx))) (*.f64 ky ky) (fma.f64 (sin.f64 kx) (/.f64 #s(literal 1/6 binary64) (sin.f64 th)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 th)) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 (sin.f64 kx) (sin.f64 th))) 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)) |
(* (sin ky) (sin th)) |
(*.f64 (sin.f64 th) (sin.f64 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 (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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) 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 (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) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 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 (+ (* (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 th th) #s(literal -1/6 binary64) #s(literal 1 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)) (*.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 |
(* 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)) |
(*.f64 (sin.f64 ky) th) |
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))) |
(*.f64 (sin.f64 ky) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) 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) |
(* (/ 1 (* th (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) th)) |
(/ (+ (* 1/6 (* (/ (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) th) |
(/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) th) |
(/ (+ (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* 7/360 (* (/ (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) th) |
(/.f64 (fma.f64 (*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) (*.f64 th th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) th) |
(/ (+ (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* 1/6 (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* 31/15120 (* (/ (pow th 2) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 7/360 (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) th) |
(/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) (*.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (fma.f64 (*.f64 th (/.f64 th (sin.f64 ky))) #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) (sin.f64 ky)))))) th) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 152 |
| 0 | 52 | 145 |
| 1 | 192 | 145 |
| 2 | 1181 | 145 |
| 0 | 9473 | 145 |
| 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 (sin.f64 th) (sin.f64 ky)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th)) |
(sin.f64 kx) |
#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))) |
| Outputs |
|---|
(*.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 (*.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 (/.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 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 kx)) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 kx) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
(*.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 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 (/.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 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 kx) (sin.f64 th))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.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 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 th)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 kx)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.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 (pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (/.f64 (neg.f64 (sin.f64 th)) (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) (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 (neg.f64 (sin.f64 kx)) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 th)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 kx)) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (neg.f64 (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (sin.f64 kx)) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 th)) (neg.f64 (pow.f64 (sin.f64 kx) #s(literal -1 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)) (*.f64 (sin.f64 kx) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (sin.f64 th)) |
(*.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 (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 #s(literal 1 binary64) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)))) |
(*.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 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx))) #s(literal 1 binary64)) |
(*.f64 (sin.f64 kx) (/.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
(*.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 (exp.f64 (log.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th)) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx))) #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 (*.f64 (neg.f64 (sin.f64 th)) (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 kx)) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (neg.f64 (pow.f64 (sin.f64 th) #s(literal -1 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 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal -1 binary64)) (sin.f64 th))) |
(/.f64 (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (pow.f64 (sin.f64 th) #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) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (neg.f64 (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 #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) (/.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 (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) (sin.f64 kx))) #s(literal 1 binary64)) |
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(-.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 #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))) |
Compiled 19 100 to 2 495 computations (86.9% saved)
36 alts after pruning (31 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 786 | 20 | 806 |
| Fresh | 4 | 11 | 15 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 790 | 36 | 826 |
| Status | Accuracy | Program |
|---|---|---|
| 99.4% | (/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) | |
| 97.3% | (/.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))) | |
| ✓ | 97.4% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| 17.7% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) | |
| 33.2% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) | |
| ✓ | 99.6% | (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
| 17.8% | (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) | |
| 23.7% | (/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) | |
| 43.5% | (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| 47.4% | (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| ✓ | 98.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))) |
| 17.8% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) (sin.f64 th))) | |
| 23.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) | |
| 29.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (sin.f64 th))) | |
| 46.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) th)))) | |
| 49.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) th))) | |
| 99.5% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) | |
| ▶ | 79.9% | (*.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) (*.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)) |
| 86.7% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) #s(literal 1 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)))))) (sin.f64 th)) | |
| 43.8% | (*.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)) | |
| 89.4% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| ✓ | 49.3% | (*.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)) |
| 40.0% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th)) | |
| 17.7% | (*.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)) | |
| 26.4% | (*.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)) | |
| ▶ | 27.6% | (*.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)) |
| 99.4% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (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))) | |
| 23.2% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin 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))) (sin.f64 th)) | |
| 23.7% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) | |
| 46.8% | #s(approx (/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (*.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))))))) | |
| ✓ | 29.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
| ▶ | 19.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
| 15.6% | #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))) | |
| ▶ | 15.8% | #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 1 412 to 1 078 computations (23.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | 128 | (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) | |
| cost-diff | 384 | (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 | 384 | (/.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 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) | |
| cost-diff | 448 | (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)) | |
| cost-diff | 6336 | (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) | |
| cost-diff | 12800 | (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) | |
| cost-diff | 0 | (sin.f64 ky) | |
| cost-diff | 0 | (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) | |
| 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 | 704 | (/.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 | 48 | 345 |
| 0 | 82 | 312 |
| 1 | 121 | 302 |
| 2 | 186 | 294 |
| 3 | 347 | 284 |
| 4 | 628 | 284 |
| 5 | 1082 | 284 |
| 6 | 1631 | 284 |
| 7 | 2137 | 284 |
| 8 | 2421 | 284 |
| 9 | 2547 | 284 |
| 10 | 2675 | 284 |
| 11 | 2705 | 284 |
| 12 | 2737 | 284 |
| 13 | 2738 | 284 |
| 0 | 2738 | 278 |
| 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) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(sin.f64 ky) |
ky |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) |
(sin.f64 kx) |
kx |
(sin.f64 th) |
th |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) |
(pow.f64 (sin.f64 th) #s(literal -1 binary64)) |
(sin.f64 th) |
th |
#s(literal -1 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) (*.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 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(sin.f64 ky) |
ky |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) |
(sin.f64 kx) |
kx |
(sin.f64 th) |
th |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(sin.f64 th) |
(*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(log.f64 (sin.f64 th)) |
(log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) |
(neg.f64 (log.f64 (sin.f64 th))) |
(pow.f64 (sin.f64 th) #s(literal -1 binary64)) |
(sin.f64 th) |
th |
#s(literal -1 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) (*.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) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #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) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #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 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal -2 binary64) #s(literal 4 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) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #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) kx)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #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 | 0.24219461327122277 | (cos.f64 (*.f64 #s(literal 2 binary64) kx)) | |
| accuracy | 1.7356275597972026 | (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 | 10.945729880894806 | (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) | |
| accuracy | 11.308190029463338 | (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) | |
| accuracy | 0.0625 | (pow.f64 (sin.f64 th) #s(literal -1 binary64)) | |
| accuracy | 0.41242302594956765 | (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) | |
| accuracy | 3.011237583671907 | (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64))) | |
| accuracy | 33.823420724911216 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (sin.f64 kx) | |
| accuracy | 0.10546875 | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) | |
| accuracy | 0.12890625 | (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) | |
| accuracy | 35.64446727800805 | #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) | |
| accuracy | 0.0 | (pow.f64 th #s(literal 3 binary64)) | |
| accuracy | 0.03515625 | (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th) | |
| accuracy | 16.11816179861557 | #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th)) | |
| accuracy | 33.823420724911216 | #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 | 0.03125 | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) | |
| accuracy | 0.07421875 | (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) | |
| accuracy | 0.1015625 | (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) | |
| accuracy | 0.10546875 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
| 97.0ms | 65× | 2 | valid |
| 58.0ms | 68× | 0 | invalid |
| 57.0ms | 61× | 1 | valid |
| 44.0ms | 62× | 0 | valid |
Compiled 691 to 92 computations (86.7% saved)
ival-cos: 35.0ms (16.8% of total)ival-pow: 29.0ms (14% of total)ival-mult: 28.0ms (13.5% of total)ival-sin: 25.0ms (12% of total)ival-div: 21.0ms (10.1% of total)ival-sub: 20.0ms (9.6% of total)adjust: 13.0ms (6.3% of total)ival-hypot: 6.0ms (2.9% of total)ival-pow2: 6.0ms (2.9% of total)ival-sqrt: 5.0ms (2.4% of total)const: 5.0ms (2.4% of total)ival-add: 5.0ms (2.4% of total)ival-log: 5.0ms (2.4% of total)ival-exp: 4.0ms (1.9% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.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)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(sin.f64 ky) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) |
(*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(/.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)) |
(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)) |
(sin.f64 kx) |
(pow.f64 (sin.f64 th) #s(literal -1 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) kx))) |
(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 #s(literal 2 binary64) kx)) |
| 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)))))) |
(* 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)))))))))))) |
(* 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)))))))))) |
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 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)))))))))))) |
(+ 1 (* -2 (pow kx 2))) |
(+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))) |
(* (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))) |
(* 1/2 (sqrt (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))) |
(+ (* 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))))))))) |
(sin kx) |
(- 1 (cos (* 2 kx))) |
(sqrt (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky)))))) |
(cos (* 2 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 (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 |
(* 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)))) |
(* 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 (- 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 (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 (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) |
(* -1 (log th)) |
(+ (* -1 (log th)) (* 1/6 (pow th 2))) |
(+ (* -1 (log th)) (* (pow th 2) (+ 1/6 (* 1/180 (pow th 2))))) |
(+ (* -1 (log th)) (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 1/180 (* 1/2835 (pow th 2))))))) |
(log th) |
(+ (log th) (* -1/6 (pow th 2))) |
(+ (log th) (* (pow th 2) (- (* -1/180 (pow th 2)) 1/6))) |
(+ (log th) (* (pow th 2) (- (* (pow th 2) (- (* -1/2835 (pow th 2)) 1/180)) 1/6))) |
(* 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 th) |
(/ (+ 1 (* 1/6 (pow th 2))) th) |
(/ (+ 1 (* (pow th 2) (+ 1/6 (* 7/360 (pow th 2))))) th) |
(/ (+ 1 (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 7/360 (* 31/15120 (pow th 2))))))) th) |
(* -1/6 (pow th 3)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(log (/ 1 (sin th))) |
(* -1 (log (/ 1 (sin th)))) |
(/ 1 (sin th)) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 86.0ms | 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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp (* (log (pow (sin th) -1)) -1)) (log (pow (sin th) -1)) (* (log (pow (sin th) -1)) -1) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (+ (* (- 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 kx) (pow (sin th) -1) (- 1 (cos (* ky 2))) (- 1 (cos (* 2 kx))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* 2 kx))) |
| 52.0ms | 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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp (* (log (pow (sin th) -1)) -1)) (log (pow (sin th) -1)) (* (log (pow (sin th) -1)) -1) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (+ (* (- 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 kx) (pow (sin th) -1) (- 1 (cos (* ky 2))) (- 1 (cos (* 2 kx))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* 2 kx))) |
| 22.0ms | 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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp (* (log (pow (sin th) -1)) -1)) (log (pow (sin th) -1)) (* (log (pow (sin th) -1)) -1) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (+ (* (- 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 kx) (pow (sin th) -1) (- 1 (cos (* ky 2))) (- 1 (cos (* 2 kx))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* 2 kx))) |
| 12.0ms | 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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp (* (log (pow (sin th) -1)) -1)) (log (pow (sin th) -1)) (* (log (pow (sin th) -1)) -1) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (+ (* (- 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 kx) (pow (sin th) -1) (- 1 (cos (* ky 2))) (- 1 (cos (* 2 kx))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* 2 kx))) |
| 7.0ms | 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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp (* (log (pow (sin th) -1)) -1)) (log (pow (sin th) -1)) (* (log (pow (sin th) -1)) -1) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2) (+ (* (- 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 kx) (pow (sin th) -1) (- 1 (cos (* ky 2))) (- 1 (cos (* 2 kx))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* 2 kx))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 775 | 4461 |
| 1 | 2474 | 4131 |
| 0 | 8337 | 3899 |
| 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)))))) |
(* 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)))))))))))) |
(* 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)))))))))) |
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 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)))))))))))) |
(+ 1 (* -2 (pow kx 2))) |
(+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))) |
(* (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))) |
(* 1/2 (sqrt (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))) |
(+ (* 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))))))))) |
(sin kx) |
(- 1 (cos (* 2 kx))) |
(sqrt (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky)))))) |
(cos (* 2 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 (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 |
(* 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)))) |
(* 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 (- 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 (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 (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) |
(* -1 (log th)) |
(+ (* -1 (log th)) (* 1/6 (pow th 2))) |
(+ (* -1 (log th)) (* (pow th 2) (+ 1/6 (* 1/180 (pow th 2))))) |
(+ (* -1 (log th)) (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 1/180 (* 1/2835 (pow th 2))))))) |
(log th) |
(+ (log th) (* -1/6 (pow th 2))) |
(+ (log th) (* (pow th 2) (- (* -1/180 (pow th 2)) 1/6))) |
(+ (log th) (* (pow th 2) (- (* (pow th 2) (- (* -1/2835 (pow th 2)) 1/180)) 1/6))) |
(* 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 th) |
(/ (+ 1 (* 1/6 (pow th 2))) th) |
(/ (+ 1 (* (pow th 2) (+ 1/6 (* 7/360 (pow th 2))))) th) |
(/ (+ 1 (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 7/360 (* 31/15120 (pow th 2))))))) th) |
(* -1/6 (pow th 3)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(log (/ 1 (sin th))) |
(* -1 (log (/ 1 (sin th)))) |
(/ 1 (sin th)) |
(* -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 (*.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)) |
(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 #s(literal -1/2 binary64) (sin.f64 th)) (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 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (sin.f64 th)) |
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 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 kx kx) (/.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 #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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (/.f64 (-.f64 #s(literal 2/45 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)))) (pow.f64 (sin.f64 ky) #s(literal 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)))) (*.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 ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(fma.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) #s(literal 1/2 binary64) (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 kx kx) (/.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 #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 #s(literal 1/2 binary64) (*.f64 kx kx)) (/.f64 (-.f64 #s(literal 2/45 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)))) (sin.f64 ky)) (/.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)) |
(* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 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) ky))))) |
(+ (* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky)))))) (* (/ (pow kx 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* 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))))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 kx kx)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 4 binary64) #s(literal 4/3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 kx kx))) |
(+ (* 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)))))))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (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 (*.f64 #s(literal 1/4 binary64) (*.f64 kx kx)) (/.f64 (-.f64 #s(literal 8/45 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 4 binary64) #s(literal 4/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 4 binary64) #s(literal 4/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 kx kx) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 kx kx))) |
(* 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))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) |
(+ (* 2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 4 (* -4/3 (pow kx 2))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) kx) kx)) |
(+ (* 2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 4 (* (pow kx 2) (- (* 8/45 (pow kx 2)) 4/3))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (*.f64 (*.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)) kx) kx)) |
(* 4 (pow kx 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 kx kx)) |
(* (pow kx 2) (+ 4 (* -4/3 (pow kx 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) kx) kx) |
(* (pow kx 2) (+ 4 (* (pow kx 2) (- (* 8/45 (pow kx 2)) 4/3)))) |
(*.f64 (*.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)) kx) kx) |
(* (pow kx 2) (+ 4 (* (pow kx 2) (- (* (pow kx 2) (+ 8/45 (* -4/315 (pow kx 2)))) 4/3)))) |
(*.f64 (*.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)) kx) kx) |
(* 2 (* (* (sin ky) (* (sin th) (sqrt 1/2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (*.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) 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)))))))) |
(fma.f64 (*.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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th)) (sin.f64 ky)) (*.f64 (*.f64 (*.f64 kx kx) (neg.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (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) ky))) #s(literal 3 binary64)))))) |
(+ (* 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)))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (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) ky))) #s(literal 3 binary64)))))) (*.f64 kx kx) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (*.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) 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)))))))))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) #s(literal 1/4 binary64))) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx kx)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 kx kx) (*.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (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) ky))) #s(literal 3 binary64)))))) (*.f64 kx kx) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (*.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) ky))))))) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(*.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) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) |
(* 2 (pow kx 2)) |
(*.f64 (*.f64 kx kx) #s(literal 2 binary64)) |
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3)))) |
(*.f64 (*.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)) kx) kx) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/315 binary64) (*.f64 kx kx) #s(literal 4/45 binary64)) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) kx) kx) |
(* (sqrt 2) (sqrt (- 1 (cos (* 2 ky))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* 2 (* (/ (pow kx 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 2) (sqrt (- 1 (cos (* 2 ky)))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 kx kx) (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 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (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 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 4 binary64) #s(literal 4/3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 kx kx) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (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)))))))))))) |
(fma.f64 (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 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (/.f64 (-.f64 #s(literal 8/45 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 4 binary64) #s(literal 4/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 4 binary64) #s(literal 4/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 kx kx) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 kx kx) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 2 binary64)))) |
(+ 1 (* -2 (pow kx 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 kx kx) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 kx kx) #s(literal -2 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 kx kx) #s(literal 2/3 binary64)) (*.f64 kx kx) #s(literal -2 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) |
(* (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)) |
(* (* (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)) |
(* 1/2 (sqrt (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))) |
(*.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 1/2 binary64)) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))) |
(*.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))))) |
(* 2 (- 1 (cos (* 2 kx)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)) |
(* 2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 th)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 kx) |
(sin.f64 kx) |
(- 1 (cos (* 2 kx))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) |
(sqrt (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 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)))))) |
(cos (* 2 kx)) |
(cos.f64 (*.f64 #s(literal 2 binary64) 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 (-.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)))) |
(*.f64 (fma.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) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (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))))) (*.f64 (*.f64 #s(literal -1/12 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 1/240 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 ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky) |
(/ (* 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 #s(literal -1/2 binary64) (sin.f64 th)) (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)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (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 1/12 binary64) (sin.f64 th)) (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 #s(literal -1/2 binary64) (sin.f64 th)) (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))))))) (* (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 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) |
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(/ (+ (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) |
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(+ (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 ky ky) (/.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 #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 #s(literal 1/2 binary64) (*.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)) (/.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 |
(* 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) |
(* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) |
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(+ (* 1/2 (* (sqrt 2) (sqrt (- 1 (cos (* 2 kx)))))) (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
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(+ (* 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 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sqrt.f64 #s(literal 2 binary64)) (*.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 #s(literal -1/4 binary64) (*.f64 ky ky)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 4 binary64) #s(literal 4/3 binary64)) (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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sqrt.f64 #s(literal 2 binary64)) (*.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 (*.f64 #s(literal 1/4 binary64) (*.f64 ky ky)) (/.f64 (-.f64 #s(literal 8/45 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 4 binary64) #s(literal 4/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 4 binary64) #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))) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* 4 (pow ky 2))) |
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(+ (* 2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 4 (* -4/3 (pow ky 2))))) |
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(+ (* 2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 2)) 4/3))))) |
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(* 2 (* (* ky (* (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))))))) (* 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)))))))))))) |
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(* 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))))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 ky ky) #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 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.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 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64))) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (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 (/.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 (*.f64 #s(literal -1/12 binary64) (sin.f64 th)) (/.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 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64))) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (*.f64 #s(literal -1/5040 binary64) (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)) (*.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (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 ky ky) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (*.f64 (sin.f64 th) (/.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 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64))) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (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 (*.f64 #s(literal 1/120 binary64) (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))))))))) (fma.f64 (*.f64 (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 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1 binary64) (*.f64 (*.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))) #s(literal -1/3 binary64)))) (*.f64 ky ky) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (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) |
(* 2 (pow ky 2)) |
(*.f64 (*.f64 ky ky) #s(literal 2 binary64)) |
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -2/3 binary64) #s(literal 2 binary64)) ky) ky) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3)))) |
(*.f64 (*.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)) ky) ky) |
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3)))) |
(*.f64 (*.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)) 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 #s(literal 2 binary64) (/.f64 (*.f64 ky ky) (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 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 4 binary64) #s(literal 4/3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 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 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (/.f64 (-.f64 #s(literal 8/45 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 4 binary64) #s(literal 4/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 4 binary64) #s(literal 4/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 ky ky) (*.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))) #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)))) |
(- 1 (cos (* 2 ky))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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)))))) |
(* 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 (sin.f64 ky) th) th) (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 (pow.f64 th #s(literal 3 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))))) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (sin.f64 ky) th) th) (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)))) (*.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 (+ (* (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))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 ky) th) th) (sin.f64 ky)) (*.f64 (*.f64 (*.f64 th th) (*.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))))) (fma.f64 #s(literal 1/120 binary64) (sin.f64 ky) (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (sin.f64 ky) th) th)))))) th) |
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) |
(pow th 3) |
(pow.f64 th #s(literal 3 binary64)) |
(* -1 (log th)) |
(neg.f64 (log.f64 th)) |
(+ (* -1 (log th)) (* 1/6 (pow th 2))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) th) th (neg.f64 (log.f64 th))) |
(+ (* -1 (log th)) (* (pow th 2) (+ 1/6 (* 1/180 (pow th 2))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 th th) #s(literal 1/6 binary64)) th) th (neg.f64 (log.f64 th))) |
(+ (* -1 (log th)) (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 1/180 (* 1/2835 (pow th 2))))))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 th th) #s(literal 1/180 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) th) th (neg.f64 (log.f64 th))) |
(log th) |
(log.f64 th) |
(+ (log th) (* -1/6 (pow th 2))) |
(fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 th)) |
(+ (log th) (* (pow th 2) (- (* -1/180 (pow th 2)) 1/6))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 th th) #s(literal -1/6 binary64)) th) th (log.f64 th)) |
(+ (log th) (* (pow th 2) (- (* (pow th 2) (- (* -1/2835 (pow th 2)) 1/180)) 1/6))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2835 binary64) (*.f64 th th) #s(literal -1/180 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) th) th (log.f64 th)) |
(* 2 (* (* th (sin ky)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(*.f64 (*.f64 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)))))))) |
(* 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 binary64) (*.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))))))) (fma.f64 #s(literal 2 binary64) (sin.f64 ky) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sin.f64 ky) th) th)))) 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))))))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))))) (fma.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 (sin.f64 ky) th) th) (*.f64 #s(literal -1/3 binary64) (sin.f64 ky)))) (pow.f64 th #s(literal 3 binary64)) (*.f64 (*.f64 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))))))) |
(* 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))))) (fma.f64 #s(literal 2 binary64) (sin.f64 ky) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (sin.f64 ky) th) th))) (*.f64 (*.f64 (*.f64 th th) (*.f64 th th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))))) (fma.f64 #s(literal 1/60 binary64) (sin.f64 ky) (*.f64 #s(literal -1/2520 binary64) (*.f64 (*.f64 (sin.f64 ky) th) th)))))) th) |
(/ 1 th) |
(/.f64 #s(literal 1 binary64) th) |
(/ (+ 1 (* 1/6 (pow th 2))) th) |
(/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th) |
(/ (+ 1 (* (pow th 2) (+ 1/6 (* 7/360 (pow th 2))))) th) |
(/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th) |
(/ (+ 1 (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 7/360 (* 31/15120 (pow th 2))))))) th) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) 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 (/ 1 (sin th))) |
(neg.f64 (log.f64 (sin.f64 th))) |
(* -1 (log (/ 1 (sin th)))) |
(log.f64 (sin.f64 th)) |
(/ 1 (sin th)) |
(/.f64 #s(literal 1 binary64) (sin.f64 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))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 282 |
| 0 | 82 | 221 |
| 1 | 282 | 212 |
| 2 | 1721 | 206 |
| 0 | 9197 | 206 |
| 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)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(sin.f64 ky) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) |
(*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(/.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)) |
(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)) |
(sin.f64 kx) |
(pow.f64 (sin.f64 th) #s(literal -1 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) kx))) |
(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 #s(literal 2 binary64) kx)) |
| Outputs |
|---|
(*.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)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.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)) (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 (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 (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 (/.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 (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 (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) (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 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 #s(literal 1 binary64) (neg.f64 (sin.f64 ky)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64))) (neg.f64 (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 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (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 (/.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 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (pow.f64 (sin.f64 ky) #s(literal -1 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 #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 (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) (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 (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 (sin.f64 th) (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 (sin.f64 ky)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (sin.f64 th) (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 (sin.f64 ky) #s(literal -1/2 binary64))) |
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(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)) #s(literal 4 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 (*.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) ky))) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.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 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)) #s(literal 4 binary64))))) (sqrt.f64 (neg.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 (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) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)) #s(literal 8 binary64))))) (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) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)) (-.f64 (*.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) ky))) #s(literal 2 binary64)))))))) |
(/.f64 (sqrt.f64 (-.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 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)) #s(literal 4 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 (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) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)) #s(literal 4 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 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 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) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)) #s(literal 8 binary64)))) (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) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)) (-.f64 (*.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) ky))) #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.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 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.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) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)) (-.f64 (*.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) ky))) #s(literal 2 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) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 3 binary64)) #s(literal 8 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)))))) |
(exp.f64 (*.f64 (log.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 (cos.f64 kx) (sin.f64 kx)) (-.f64 (cos.f64 kx) (sin.f64 kx))) |
(*.f64 (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))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 3 binary64)))) (fma.f64 (-.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 kx) #s(literal 6 binary64))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (-.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (cos.f64 kx) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 kx) #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 kx)) (sin.f64 kx)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 kx)) (sin.f64 kx)) (*.f64 (neg.f64 (sin.f64 kx)) (sin.f64 kx))) (*.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 kx)) (sin.f64 kx)))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 kx) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 kx) (sin.f64 kx)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)) (pow.f64 (cos.f64 kx) #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) kx))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #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) 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 2 binary64) (-.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 2 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 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 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 6 binary64))))) (*.f64 #s(literal 2 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 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #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) kx)))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 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 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(/.f64 (-.f64 (+.f64 (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)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) kx))) (cos.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) kx)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (cos.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 kx) (sin.f64 kx)) #s(literal 2 binary64))))) |
(fma.f64 (cos.f64 kx) (cos.f64 kx) (*.f64 (neg.f64 (sin.f64 kx)) (sin.f64 kx))) |
(fma.f64 (cos.f64 kx) (cos.f64 kx) (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (cos.f64 kx) #s(literal 6 binary64)) (+.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 kx) (sin.f64 kx)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (+.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 kx) (sin.f64 kx)) #s(literal 2 binary64)))))) |
(-.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal 2 binary64) kx)) |
(+.f64 (-.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
(+.f64 (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 kx)) (sin.f64 kx))) |
(+.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) |
Compiled 29 942 to 4 538 computations (84.8% saved)
71 alts after pruning (65 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 779 | 50 | 829 |
| Fresh | 11 | 15 | 26 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 5 | 5 |
| Total | 794 | 71 | 865 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 97.4% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| 17.7% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) | |
| ▶ | 27.4% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
| ✓ | 99.6% | (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
| 17.8% | (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) | |
| 23.7% | (/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) | |
| 43.5% | (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| 47.4% | (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| ✓ | 98.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))) |
| 17.8% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) (sin.f64 th))) | |
| 23.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) | |
| 29.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (sin.f64 th))) | |
| 27.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) | |
| 49.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) th))) | |
| 79.9% | (*.f64 (/.f64 (*.f64 (sin.f64 th) (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)) | |
| 79.9% | (*.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)) | |
| 79.9% | (*.f64 (/.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 (sin.f64 ky) #s(literal 1/2 binary64))) | |
| 27.6% | (*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) | |
| 79.7% | (*.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)) | |
| 39.8% | (*.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) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (*.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)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 31.1% | (*.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 (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 40.1% | (*.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)) | |
| ▶ | 36.1% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
| 36.3% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (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))))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 31.2% | (*.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)) | |
| 43.8% | (*.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)) | |
| ✓ | 49.3% | (*.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)) |
| 26.4% | (*.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)) | |
| 31.0% | (*.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)) | |
| 31.6% | (*.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)) | |
| 23.3% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64)))) (sin.f64 th)) | |
| ✓ | 27.6% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
| 19.0% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) | |
| 18.7% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) | |
| 23.4% | (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) | |
| 27.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) | |
| ▶ | 99.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th)) |
| 79.8% | (*.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)) | |
| 79.9% | (*.f64 (*.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))) (sin.f64 th)) | |
| 27.6% | (*.f64 (sin.f64 ky) (*.f64 (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 th))) | |
| 23.2% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin 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))) (sin.f64 th)) | |
| 23.7% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) | |
| 46.8% | #s(approx (/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (*.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))))))) | |
| 79.8% | #s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 th)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))))))) | |
| 30.9% | #s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (*.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) ky))))))) | |
| 41.0% | #s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))))))) | |
| 25.8% | #s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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))))))) | |
| 22.6% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) | |
| 20.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) | |
| 20.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) | |
| ✓ | 29.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
| 15.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) | |
| 15.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) | |
| ▶ | 15.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
| 19.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) | |
| 15.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 th))))) | |
| 14.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) | |
| 15.8% | #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 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) th))) | |
| 15.8% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 binary64)) #s(literal -1/6 binary64) th))) | |
| 15.6% | #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))) | |
| 15.8% | #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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) | |
| 15.8% | #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))) | |
| 15.8% | #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))) | |
| ▶ | 15.8% | #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))) |
| 15.8% | #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 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 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) | |
| 13.7% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) 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 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) #s(literal -1 binary64))))) | |
| 9.6% | #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))))) | |
| 6.1% | #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 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) | |
| 23.4% | #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 3 909 to 2 960 computations (24.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 ky) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) | |
| cost-diff | 128 | (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)) | |
| cost-diff | 384 | (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) 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)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) | |
| cost-diff | 0 | (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) | |
| cost-diff | 0 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) | |
| cost-diff | 192 | (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)) | |
| cost-diff | 6464 | (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 th th) | |
| 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 | 0 | (/.f64 #s(literal -1 binary64) (sin.f64 ky)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th)) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 604 |
| 0 | 111 | 580 |
| 1 | 180 | 563 |
| 2 | 306 | 555 |
| 3 | 716 | 543 |
| 4 | 1627 | 543 |
| 5 | 2960 | 543 |
| 6 | 5589 | 543 |
| 0 | 8212 | 529 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 #s(literal -1 binary64) (sin.f64 ky)) |
#s(literal -1 binary64) |
(sin.f64 ky) |
ky |
(neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(hypot.f64 (sin.f64 kx) (sin.f64 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 (*.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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64))) |
(*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)) |
(log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) |
#s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th)) |
(/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th) |
(fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(*.f64 th th) |
th |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (sin.f64 th) (sin.f64 ky)) |
(sin.f64 th) |
th |
(sin.f64 ky) |
ky |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) |
(sin.f64 kx) |
kx |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) |
(sin.f64 ky) |
ky |
(/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64)) |
(sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) |
#s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)) |
(-.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 |
(*.f64 (*.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)) ky) ky) |
(*.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)) ky) |
(fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 8/45 binary64) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) |
(fma.f64 (*.f64 ky ky) #s(literal 8/45 binary64) #s(literal -4/3 binary64)) |
(*.f64 ky ky) |
#s(literal 8/45 binary64) |
#s(literal -4/3 binary64) |
#s(literal 4 binary64) |
(sin.f64 th) |
th |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (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 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) |
(/.f64 #s(literal -1 binary64) (sin.f64 ky)) |
#s(literal -1 binary64) |
(sin.f64 ky) |
ky |
(neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(hypot.f64 (sin.f64 kx) (sin.f64 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 (*.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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64))) |
(pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1 binary64)) |
(*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)) |
(neg.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)))) |
(log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) |
(log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) |
#s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th)) |
#s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) |
(/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th) |
(fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) |
(*.f64 th th) |
th |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (sin.f64 th) (sin.f64 ky)) |
(sin.f64 th) |
th |
(sin.f64 ky) |
ky |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) |
(sin.f64 kx) |
kx |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (sin.f64 th)) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky #s(literal 2 binary64)))))) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky #s(literal 2 binary64)))))) |
(sin.f64 ky) |
ky |
(/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64)) |
(/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) |
(sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky #s(literal 2 binary64))))) |
#s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky))) |
#s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky #s(literal 2 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)) |
(fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky #s(literal 2 binary64))) |
(-.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 |
(*.f64 (*.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)) ky) ky) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky) |
(*.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)) ky) |
(*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) |
(fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 8/45 binary64) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) |
(fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) |
(fma.f64 (*.f64 ky ky) #s(literal 8/45 binary64) #s(literal -4/3 binary64)) |
(fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) |
(*.f64 ky ky) |
#s(literal 8/45 binary64) |
#s(literal -4/3 binary64) |
#s(literal 4 binary64) |
(sin.f64 th) |
th |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.24219461327122277 | (cos.f64 (*.f64 #s(literal 2 binary64) kx)) | |
| accuracy | 1.7356275597972026 | (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) | |
| accuracy | 10.945729880894806 | (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) | |
| accuracy | 24.8173427527973 | #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky))) | |
| accuracy | 0.0 | (sin.f64 kx) | |
| accuracy | 0.140625 | (*.f64 (sin.f64 th) (sin.f64 ky)) | |
| accuracy | 1.5475689531227075 | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) | |
| accuracy | 35.64446727800805 | #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) | |
| accuracy | 3.011237583671907 | (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64))) | |
| accuracy | 8.162845694121552 | (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th) | |
| accuracy | 15.362621567322003 | #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th)) | |
| accuracy | 33.823420724911216 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) | |
| accuracy | 0.01953125 | (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th) | |
| accuracy | 0.1328125 | (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) | |
| accuracy | 16.11816179861557 | #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th)) | |
| accuracy | 33.823420724911216 | #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 | 0.1015625 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) | |
| accuracy | 0.1015625 | (/.f64 #s(literal -1 binary64) (sin.f64 ky)) | |
| accuracy | 0.10546875 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th)) | |
| accuracy | 0.1953125 | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
| 103.0ms | 36× | 2 | valid |
| 66.0ms | 109× | 0 | valid |
| 53.0ms | 43× | 1 | valid |
| 42.0ms | 68× | 0 | invalid |
Compiled 1 057 to 134 computations (87.3% saved)
ival-div: 58.0ms (25.4% of total)ival-mult: 43.0ms (18.9% of total)ival-cos: 31.0ms (13.6% of total)ival-sin: 25.0ms (11% of total)const: 15.0ms (6.6% of total)adjust: 10.0ms (4.4% of total)ival-add: 10.0ms (4.4% of total)ival-log: 6.0ms (2.6% of total)ival-sqrt: 5.0ms (2.2% of total)ival-pow2: 5.0ms (2.2% of total)ival-hypot: 5.0ms (2.2% of total)ival-sub: 4.0ms (1.8% of total)ival-pow: 4.0ms (1.8% of total)ival-exp: 3.0ms (1.3% of total)exact: 1.0ms (0.4% of total)ival-neg: 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 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th)) |
(/.f64 #s(literal -1 binary64) (sin.f64 ky)) |
#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)) |
(*.f64 th th) |
(exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64))) |
(*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (sin.f64 th) (sin.f64 ky)) |
(sin.f64 th) |
(sin.f64 ky) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th) |
#s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th)) |
(/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) |
(sin.f64 kx) |
#s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) |
(sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) kx)) |
| 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)))))) |
(+ 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 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)))))))))))) |
(* 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)))))))))) |
(* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 2)) 4/3)))) |
(+ (* 4 (pow kx 2)) (* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 2)) 4/3))))) |
(+ (* (pow kx 2) (+ 4 (* -4/3 (pow kx 2)))) (* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 2)) 4/3))))) |
(+ (* (pow kx 2) (+ 4 (* (pow kx 2) (- (* 8/45 (pow kx 2)) 4/3)))) (* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 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)))))))))) |
(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)))))) |
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 (- 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))))) |
(* 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 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)))))))))))) |
(+ 1 (* -2 (pow kx 2))) |
(+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 2)) 4/3))))) |
(* 2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sin kx) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))) |
(- 1 (cos (* 2 kx))) |
(sqrt (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky)))))) |
(cos (* 2 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)))) |
(/ (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) |
(/ (* 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)))) |
(/ -1 ky) |
(/ (- (* -1/6 (pow ky 2)) 1) ky) |
(/ (- (* (pow ky 2) (- (* -7/360 (pow ky 2)) 1/6)) 1) ky) |
(/ (- (* (pow ky 2) (- (* (pow ky 2) (- (* -31/15120 (pow ky 2)) 7/360)) 1/6)) 1) ky) |
(* 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 |
(* 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 (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 (- 1 (cos (* 2 kx)))) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* 4 (pow ky 2))) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 4 (* -4/3 (pow ky 2))))) |
(* 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))))))))))))))) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(* (sqrt 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 (sin ky)) |
(* (sin ky) (sin th)) |
(* 8/45 (pow ky 6)) |
(* (pow ky 6) (- 8/45 (* 4/3 (/ 1 (pow ky 2))))) |
(* (pow ky 6) (- (+ 8/45 (/ 4 (pow ky 4))) (* 4/3 (/ 1 (pow ky 2))))) |
(* (pow ky 6) (- (+ 8/45 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow ky 6))) (/ 4 (pow ky 4)))) (* 4/3 (/ 1 (pow 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)))))))))))) |
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 2) |
(log th) |
(+ (log th) (* -1/6 (pow th 2))) |
(+ (log th) (* (pow th 2) (- (* -1/180 (pow th 2)) 1/6))) |
(+ (log th) (* (pow th 2) (- (* (pow th 2) (- (* -1/2835 (pow th 2)) 1/180)) 1/6))) |
(* -1 (log th)) |
(+ (* -1 (log th)) (* 1/6 (pow th 2))) |
(+ (* -1 (log th)) (* (pow th 2) (+ 1/6 (* 1/180 (pow th 2))))) |
(+ (* -1 (log th)) (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 1/180 (* 1/2835 (pow th 2))))))) |
(* th (sin ky)) |
(* 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)))))))) |
(* 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 th) |
(/ (+ 1 (* 1/6 (pow th 2))) th) |
(/ (+ 1 (* (pow th 2) (+ 1/6 (* 7/360 (pow th 2))))) th) |
(/ (+ 1 (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 7/360 (* 31/15120 (pow th 2))))))) th) |
(* -1 (log (/ 1 (sin th)))) |
(log (/ 1 (sin th))) |
(* -1/6 (pow th 3)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(/ 1 (sin th)) |
(* 1/6 th) |
(* th (+ 1/6 (/ 1 (pow th 2)))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | th | @ | -inf | ((/ 1 (* (/ -1 (sin ky)) (neg (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (* (/ -1 (sin ky)) (neg (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* (/ 1 (* (/ -1 (sin ky)) (neg (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (sin th)) (/ -1 (sin ky)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* -1/6 (* th th)) (* th th) (exp (* (log (pow (sin th) -1)) -1)) (* (log (pow (sin th) -1)) -1) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (log (pow (sin th) -1)) (/ (* (sin th) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (sin th) (sin ky)) (sin th) (sin ky) (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (+ (* (* -1/6 (* th th)) th) th) (pow (sin th) -1) (/ (+ (* (* th th) 1/6) 1) th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin kx) (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (- 1 (cos (* 2 kx))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* 2 kx))) |
| 21.0ms | ky | @ | -inf | ((/ 1 (* (/ -1 (sin ky)) (neg (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (* (/ -1 (sin ky)) (neg (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* (/ 1 (* (/ -1 (sin ky)) (neg (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (sin th)) (/ -1 (sin ky)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* -1/6 (* th th)) (* th th) (exp (* (log (pow (sin th) -1)) -1)) (* (log (pow (sin th) -1)) -1) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (log (pow (sin th) -1)) (/ (* (sin th) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (sin th) (sin ky)) (sin th) (sin ky) (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (+ (* (* -1/6 (* th th)) th) th) (pow (sin th) -1) (/ (+ (* (* th th) 1/6) 1) th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin kx) (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (- 1 (cos (* 2 kx))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* 2 kx))) |
| 12.0ms | th | @ | inf | ((/ 1 (* (/ -1 (sin ky)) (neg (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (* (/ -1 (sin ky)) (neg (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* (/ 1 (* (/ -1 (sin ky)) (neg (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (sin th)) (/ -1 (sin ky)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* -1/6 (* th th)) (* th th) (exp (* (log (pow (sin th) -1)) -1)) (* (log (pow (sin th) -1)) -1) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (log (pow (sin th) -1)) (/ (* (sin th) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (sin th) (sin ky)) (sin th) (sin ky) (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (+ (* (* -1/6 (* th th)) th) th) (pow (sin th) -1) (/ (+ (* (* th th) 1/6) 1) th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin kx) (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (- 1 (cos (* 2 kx))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* 2 kx))) |
| 9.0ms | kx | @ | inf | ((/ 1 (* (/ -1 (sin ky)) (neg (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (* (/ -1 (sin ky)) (neg (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* (/ 1 (* (/ -1 (sin ky)) (neg (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (sin th)) (/ -1 (sin ky)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* -1/6 (* th th)) (* th th) (exp (* (log (pow (sin th) -1)) -1)) (* (log (pow (sin th) -1)) -1) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (log (pow (sin th) -1)) (/ (* (sin th) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (sin th) (sin ky)) (sin th) (sin ky) (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (+ (* (* -1/6 (* th th)) th) th) (pow (sin th) -1) (/ (+ (* (* th th) 1/6) 1) th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin kx) (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (- 1 (cos (* 2 kx))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* 2 kx))) |
| 6.0ms | ky | @ | 0 | ((/ 1 (* (/ -1 (sin ky)) (neg (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (* (/ -1 (sin ky)) (neg (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* (/ 1 (* (/ -1 (sin ky)) (neg (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (sin th)) (/ -1 (sin ky)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* -1/6 (* th th)) (* th th) (exp (* (log (pow (sin th) -1)) -1)) (* (log (pow (sin th) -1)) -1) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (log (pow (sin th) -1)) (/ (* (sin th) (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (sin th) (sin ky)) (sin th) (sin ky) (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (+ (* (* -1/6 (* th th)) th) th) (pow (sin th) -1) (/ (+ (* (* th th) 1/6) 1) th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin kx) (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (- 1 (cos (* 2 kx))) (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) (cos (* 2 kx))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 875 | 5223 |
| 1 | 2829 | 4852 |
| 2 | 7213 | 4694 |
| 0 | 8049 | 4442 |
| 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)))))) |
(+ 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 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)))))))))))) |
(* 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)))))))))) |
(* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 2)) 4/3)))) |
(+ (* 4 (pow kx 2)) (* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 2)) 4/3))))) |
(+ (* (pow kx 2) (+ 4 (* -4/3 (pow kx 2)))) (* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 2)) 4/3))))) |
(+ (* (pow kx 2) (+ 4 (* (pow kx 2) (- (* 8/45 (pow kx 2)) 4/3)))) (* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 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)))))))))) |
(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)))))) |
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 (- 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))))) |
(* 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 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)))))))))))) |
(+ 1 (* -2 (pow kx 2))) |
(+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* 2 (* (sin ky) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 2)) 4/3))))) |
(* 2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(sin kx) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))) |
(- 1 (cos (* 2 kx))) |
(sqrt (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky)))))) |
(cos (* 2 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)))) |
(/ (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) |
(/ (* 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)))) |
(/ -1 ky) |
(/ (- (* -1/6 (pow ky 2)) 1) ky) |
(/ (- (* (pow ky 2) (- (* -7/360 (pow ky 2)) 1/6)) 1) ky) |
(/ (- (* (pow ky 2) (- (* (pow ky 2) (- (* -31/15120 (pow ky 2)) 7/360)) 1/6)) 1) ky) |
(* 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 |
(* 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 (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 (- 1 (cos (* 2 kx)))) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* 4 (pow ky 2))) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 4 (* -4/3 (pow ky 2))))) |
(* 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))))))))))))))) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(* (sqrt 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 (sin ky)) |
(* (sin ky) (sin th)) |
(* 8/45 (pow ky 6)) |
(* (pow ky 6) (- 8/45 (* 4/3 (/ 1 (pow ky 2))))) |
(* (pow ky 6) (- (+ 8/45 (/ 4 (pow ky 4))) (* 4/3 (/ 1 (pow ky 2))))) |
(* (pow ky 6) (- (+ 8/45 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow ky 6))) (/ 4 (pow ky 4)))) (* 4/3 (/ 1 (pow 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)))))))))))) |
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 2) |
(log th) |
(+ (log th) (* -1/6 (pow th 2))) |
(+ (log th) (* (pow th 2) (- (* -1/180 (pow th 2)) 1/6))) |
(+ (log th) (* (pow th 2) (- (* (pow th 2) (- (* -1/2835 (pow th 2)) 1/180)) 1/6))) |
(* -1 (log th)) |
(+ (* -1 (log th)) (* 1/6 (pow th 2))) |
(+ (* -1 (log th)) (* (pow th 2) (+ 1/6 (* 1/180 (pow th 2))))) |
(+ (* -1 (log th)) (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 1/180 (* 1/2835 (pow th 2))))))) |
(* th (sin ky)) |
(* 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)))))))) |
(* 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 th) |
(/ (+ 1 (* 1/6 (pow th 2))) th) |
(/ (+ 1 (* (pow th 2) (+ 1/6 (* 7/360 (pow th 2))))) th) |
(/ (+ 1 (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 7/360 (* 31/15120 (pow th 2))))))) th) |
(* -1 (log (/ 1 (sin th)))) |
(log (/ 1 (sin th))) |
(* -1/6 (pow th 3)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(/ 1 (sin th)) |
(* 1/6 th) |
(* th (+ 1/6 (/ 1 (pow th 2)))) |
(* -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 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 #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) (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 #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 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 (* 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 (+.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 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.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 (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 (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)))) (*.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 (sin.f64 th) (*.f64 kx (/.f64 kx (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) (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 (*.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 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)) |
(* 2 (* (* (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) |
(*.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)))))) |
(+ (* -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)))))))) |
(fma.f64 (*.f64 (neg.f64 (*.f64 kx kx)) (/.f64 (sin.f64 ky) (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) ky))) #s(literal 3 binary64)))) (*.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))))))) |
(+ (* 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)))))))) |
(fma.f64 (fma.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 kx kx) (sin.f64 ky)) (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) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 kx kx) (*.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))))))) |
(+ (* 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)))))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 1/2 binary64))) (-.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) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) (sin.f64 ky)) (*.f64 (*.f64 (*.f64 kx kx) (sin.f64 ky)) (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) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #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) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))))))) (*.f64 kx kx) (*.f64 (/.f64 (neg.f64 (sin.f64 ky)) (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) ky))) #s(literal 3 binary64)))))) (*.f64 kx kx) (*.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))))))) |
(* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 2)) 4/3)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky)) |
(+ (* 4 (pow kx 2)) (* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 2)) 4/3))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) |
(+ (* (pow kx 2) (+ 4 (* -4/3 (pow kx 2)))) (* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 2)) 4/3))))) |
(fma.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))) |
(+ (* (pow kx 2) (+ 4 (* (pow kx 2) (- (* 8/45 (pow kx 2)) 4/3)))) (* (pow ky 2) (+ 4 (* (pow ky 2) (- (* 8/45 (pow ky 2)) 4/3))))) |
(fma.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) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))) |
(* 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)))))) |
(+ (* -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)))))))) |
(fma.f64 (*.f64 (neg.f64 (*.f64 kx kx)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (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) ky))) #s(literal 3 binary64)))) (*.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))))))) |
(+ (* 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)))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (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) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))))) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (*.f64 (*.f64 (neg.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (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) ky))) #s(literal 3 binary64)))))) (*.f64 kx kx) (*.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))))))) |
(+ (* 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)))))))))) |
(fma.f64 (fma.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (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) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (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) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #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) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))))) (*.f64 kx kx)))) (*.f64 kx kx))) (*.f64 kx kx) (*.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))))))) |
(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)) |
kx |
(* kx (+ 1 (* -1/6 (pow kx 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) |
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6)))) |
(*.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) |
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) |
(* 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))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (*.f64 kx kx))) |
(+ (* 2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 4 (* -4/3 (pow kx 2))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) (*.f64 kx kx))) |
(+ (* 2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 4 (* (pow kx 2) (- (* 8/45 (pow kx 2)) 4/3))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (*.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))) |
(* 2 (pow kx 2)) |
(*.f64 (*.f64 kx kx) #s(literal 2 binary64)) |
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2)))) |
(*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx)) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3)))) |
(*.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)) |
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/315 binary64) (*.f64 kx kx) #s(literal 4/45 binary64)) (*.f64 kx kx) #s(literal -2/3 binary64)) (*.f64 kx kx) #s(literal 2 binary64)) (*.f64 kx kx)) |
(* (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)))))))))))) |
(fma.f64 (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 (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) ky)))) #s(literal 4/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 8/45 binary64)) (*.f64 kx (/.f64 kx (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) ky)))) #s(literal 4/3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 kx kx) (*.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) ky))))))) (*.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)))))) |
(+ 1 (* -2 (pow kx 2))) |
(fma.f64 #s(literal -2 binary64) (*.f64 kx kx) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 kx kx) #s(literal -2 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 kx kx) #s(literal 2/3 binary64)) (*.f64 kx kx) #s(literal -2 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) |
(* (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)) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (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))) |
(* 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) kx)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))) |
(* 2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))))))) |
(*.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)))))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin kx) |
(sin.f64 kx) |
(+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky))))) |
(*.f64 #s(literal 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)))))) |
(- 1 (cos (* 2 kx))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) |
(sqrt (+ (* 2 (- 1 (cos (* 2 kx)))) (* 2 (- 1 (cos (* 2 ky)))))) |
(sqrt.f64 (*.f64 #s(literal 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))))))) |
(cos (* 2 kx)) |
(cos.f64 (*.f64 #s(literal 2 binary64) 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)))) |
(fma.f64 (neg.f64 ky) (*.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 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 (*.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)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/12 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) (sin.f64 kx)) (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))))))) (+.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 ky)) ky (/.f64 ky (sin.f64 kx))) |
(/ (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) |
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(/ (+ (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) |
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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)))) |
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
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(/ -1 ky) |
(/.f64 #s(literal -1 binary64) ky) |
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(/ (- (* (pow ky 2) (- (* -7/360 (pow ky 2)) 1/6)) 1) ky) |
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(* ky (sin th)) |
(*.f64 (sin.f64 th) ky) |
(* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th))))) |
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(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th))))))) |
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(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th)))))))) |
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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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(* 2 (* (* ky (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) |
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(* 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)))))))))))) |
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(* 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 (- 1 (cos (* 2 kx)))) |
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(+ (* 2 (- 1 (cos (* 2 kx)))) (* 4 (pow ky 2))) |
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(+ (* 2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 4 (* -4/3 (pow ky 2))))) |
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(* 2 (* (* ky (* (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))))))) (* 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 (*.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)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) #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))))))))))))))) |
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(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(fma.f64 (*.f64 ky (/.f64 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 (/.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)) |
(* (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 #s(literal 2 binary64) (*.f64 ky ky)) (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)))))))))))) |
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(/ -1 (sin ky)) |
(/.f64 #s(literal -1 binary64) (sin.f64 ky)) |
(* (sin ky) (sin th)) |
(*.f64 (sin.f64 th) (sin.f64 ky)) |
(* 8/45 (pow ky 6)) |
(*.f64 (pow.f64 ky #s(literal 6 binary64)) #s(literal 8/45 binary64)) |
(* (pow ky 6) (- 8/45 (* 4/3 (/ 1 (pow ky 2))))) |
(*.f64 (-.f64 #s(literal 8/45 binary64) (/.f64 #s(literal 4/3 binary64) (*.f64 ky ky))) (pow.f64 ky #s(literal 6 binary64))) |
(* (pow ky 6) (- (+ 8/45 (/ 4 (pow ky 4))) (* 4/3 (/ 1 (pow ky 2))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 ky #s(literal 4 binary64))) #s(literal 8/45 binary64)) (/.f64 #s(literal 4/3 binary64) (*.f64 ky ky))) (pow.f64 ky #s(literal 6 binary64))) |
(* (pow ky 6) (- (+ 8/45 (+ (* 2 (/ (- 1 (cos (* 2 kx))) (pow ky 6))) (/ 4 (pow ky 4)))) (* 4/3 (/ 1 (pow ky 2))))) |
(*.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) (/.f64 #s(literal 2 binary64) (pow.f64 ky #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 4/3 binary64) (*.f64 ky ky)))) #s(literal 8/45 binary64)) (pow.f64 ky #s(literal 6 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))))) (*.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)))))))))) |
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(* 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)))))))))))) |
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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 2) |
(*.f64 th th) |
(log th) |
(log.f64 th) |
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(fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 th)) |
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(fma.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) (log.f64 th)) |
(+ (log th) (* (pow th 2) (- (* (pow th 2) (- (* -1/2835 (pow th 2)) 1/180)) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2835 binary64) (*.f64 th th) #s(literal -1/180 binary64)) (*.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) (log.f64 th)) |
(* -1 (log th)) |
(neg.f64 (log.f64 th)) |
(+ (* -1 (log th)) (* 1/6 (pow th 2))) |
(fma.f64 (*.f64 th th) #s(literal 1/6 binary64) (neg.f64 (log.f64 th))) |
(+ (* -1 (log th)) (* (pow th 2) (+ 1/6 (* 1/180 (pow th 2))))) |
(fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) (neg.f64 (log.f64 th))) |
(+ (* -1 (log th)) (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 1/180 (* 1/2835 (pow th 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 th th) #s(literal 1/180 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) (neg.f64 (log.f64 th))) |
(* th (sin ky)) |
(*.f64 (sin.f64 ky) 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))))))) |
(*.f64 (fma.f64 (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 th th) (sin.f64 ky)) th) |
(* 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 (sin.f64 ky) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 th th) (*.f64 #s(literal -1/6 binary64) (sin.f64 ky))) (*.f64 th th) (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 th) |
(/.f64 #s(literal 1 binary64) th) |
(/ (+ 1 (* 1/6 (pow th 2))) th) |
(/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th) |
(/ (+ 1 (* (pow th 2) (+ 1/6 (* 7/360 (pow th 2))))) th) |
(/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th) |
(/ (+ 1 (* (pow th 2) (+ 1/6 (* (pow th 2) (+ 7/360 (* 31/15120 (pow th 2))))))) th) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th) |
(* -1 (log (/ 1 (sin th)))) |
(log.f64 (sin.f64 th)) |
(log (/ 1 (sin th))) |
(neg.f64 (log.f64 (sin.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 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))) |
(/ 1 (sin th)) |
(/.f64 #s(literal 1 binary64) (sin.f64 th)) |
(* 1/6 th) |
(*.f64 #s(literal 1/6 binary64) th) |
(* th (+ 1/6 (/ 1 (pow th 2)))) |
(fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) th) th))) (pow.f64 th #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 457 |
| 0 | 111 | 433 |
| 1 | 398 | 408 |
| 2 | 2485 | 408 |
| 0 | 8381 | 405 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th)) |
(/.f64 #s(literal -1 binary64) (sin.f64 ky)) |
#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)) |
(*.f64 th th) |
(exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64))) |
(*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (sin.f64 th) (sin.f64 ky)) |
(sin.f64 th) |
(sin.f64 ky) |
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th) |
#s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th)) |
(/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) |
(sin.f64 kx) |
#s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) |
(sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) kx)) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64)) (neg.f64 (sin.f64 ky))) |
(*.f64 (neg.f64 (sin.f64 ky)) (pow.f64 (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sin.f64 ky)) (pow.f64 (neg.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 (pow.f64 (sin.f64 ky) #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) (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) (pow.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1 binary64))) |
(*.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 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 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)))) |
(/.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 (sin.f64 ky) #s(literal 1 binary64))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 ky)))) (neg.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (pow.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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 (sin.f64 ky) (neg.f64 (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)))) |
(exp.f64 (-.f64 (log.f64 (sin.f64 ky)) (*.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (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 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) #s(literal -1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(*.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) |
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) |
(*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) |
(pow.f64 (/.f64 (sin.f64 ky) (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1 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 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (neg.f64 (neg.f64 (sin.f64 ky)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64))) (neg.f64 (neg.f64 (sin.f64 ky)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (neg.f64 (neg.f64 (sin.f64 ky)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (neg.f64 (sin.f64 ky))) |
(/.f64 (*.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64)) (neg.f64 (sin.f64 ky))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (neg.f64 (sin.f64 ky))) |
(/.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 #s(literal 1 binary64) (sin.f64 ky))) |
(/.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 ky)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(/.f64 (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) #s(literal -1 binary64)) |
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) |
(/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (neg.f64 (sin.f64 ky))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 ky) (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(neg.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (log.f64 (sin.f64 ky)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 th) (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 ky)) |
(*.f64 (pow.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64)) (/.f64 (sin.f64 th) (/.f64 #s(literal -1 binary64) (sin.f64 ky)))) |
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (sin.f64 ky) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 th))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(pow.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 th))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 th) #s(literal -1 binary64))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) |
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(/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 th)) (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) |
(/.f64 (/.f64 (sin.f64 th) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
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(/.f64 (neg.f64 (sin.f64 th)) (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) |
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(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
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(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 (sin.f64 th) (/.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 th) (sin.f64 ky))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) (sin.f64 th)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) (sin.f64 th))) |
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(pow.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sin.f64 ky)))) |
(/.f64 #s(literal -1 binary64) (sin.f64 ky)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 ky))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))) |
(neg.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sin.f64 ky))) #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 (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)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) th) th) |
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(*.f64 #s(literal -1/6 binary64) (*.f64 th th)) |
(*.f64 th (*.f64 #s(literal -1/6 binary64) th)) |
(*.f64 (exp.f64 (log.f64 th)) (exp.f64 (log.f64 th))) |
(*.f64 th th) |
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(pow.f64 (*.f64 th th) #s(literal 1 binary64)) |
(pow.f64 th #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) |
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(pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)))) |
(pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))))) |
(exp.f64 (neg.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))))) |
(*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)))) |
(neg.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)))) |
(log.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1 binary64))) |
(log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) |
(*.f64 (pow.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (pow.f64 (neg.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64))) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)))) |
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))) |
(pow.f64 (/.f64 (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64))) (neg.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))) (neg.f64 (*.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky))) (neg.f64 (neg.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))))) |
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)))) |
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (*.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 th) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) (sin.f64 th)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 th ky)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 th ky)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))))) |
(-.f64 (/.f64 (cos.f64 (-.f64 th ky)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64))) |
(*.f64 (sin.f64 th) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 th)) |
(sin.f64 th) |
(exp.f64 (log.f64 (sin.f64 th))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (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 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sin.f64 ky) #s(literal 1 binary64)) |
(sin.f64 ky) |
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(/.f64 (fma.f64 #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) 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 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (-.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 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 (fma.f64 #s(literal 1 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 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 6 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (+.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 -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) (*.f64 (/.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) (*.f64 (/.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))))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal 1 binary64))) (*.f64 (/.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 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 2 binary64))) (neg.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 2 binary64)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 3 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 3 binary64))))) |
(fma.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) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(fma.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 2 binary64)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) (+.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))) |
(+.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
(*.f64 (pow.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))) #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (cos.f64 kx) (sin.f64 kx)) (-.f64 (cos.f64 kx) (sin.f64 kx))) |
(*.f64 (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))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 kx) (sin.f64 kx)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)) (pow.f64 (cos.f64 kx) #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) kx))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #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) 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 2 binary64) (-.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 2 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 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 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 6 binary64))))) (*.f64 #s(literal 2 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 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #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) kx)))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1 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 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(/.f64 (-.f64 (+.f64 (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)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) kx))) (cos.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) kx)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (cos.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 kx) (sin.f64 kx)) #s(literal 2 binary64))))) |
(fma.f64 (cos.f64 kx) (cos.f64 kx) (*.f64 (neg.f64 (sin.f64 kx)) (sin.f64 kx))) |
(fma.f64 (cos.f64 kx) (cos.f64 kx) (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(cos.f64 (*.f64 #s(literal 2 binary64) kx)) |
(+.f64 (-.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
(+.f64 (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 kx)) (sin.f64 kx))) |
(+.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) |
Compiled 32 328 to 3 799 computations (88.2% saved)
87 alts after pruning (81 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 645 | 33 | 678 |
| Fresh | 12 | 48 | 60 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 5 | 6 |
| Total | 662 | 87 | 749 |
| Status | Accuracy | Program |
|---|---|---|
| 97.2% | (/.f64 (/.f64 (sin.f64 th) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) | |
| ✓ | 97.4% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| 17.7% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) | |
| ✓ | 27.4% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
| 18.4% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) | |
| 23.1% | (/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) | |
| ✓ | 99.6% | (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
| 17.8% | (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky))) | |
| 23.7% | (/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) | |
| 15.5% | (/.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)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) | |
| 43.5% | (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| 23.4% | (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) | |
| 47.4% | (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| 15.7% | (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) | |
| 96.7% | (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky)))) | |
| 17.8% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) (sin.f64 th))) | |
| 27.5% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))) | |
| 23.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) | |
| 29.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (sin.f64 th))) | |
| 27.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) | |
| 49.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) th))) | |
| 79.9% | (*.f64 (/.f64 (*.f64 (sin.f64 th) (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)) | |
| 79.9% | (*.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)) | |
| 79.9% | (*.f64 (/.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 (sin.f64 ky) #s(literal 1/2 binary64))) | |
| 27.6% | (*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) | |
| 79.7% | (*.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)) | |
| 39.8% | (*.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) #s(approx (* 2 (- 1 (cos (* 2 kx)))) (*.f64 (*.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)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 31.1% | (*.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 (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 40.1% | (*.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)) | |
| 31.2% | (*.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)) | |
| 13.2% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 31.7% | (*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) #s(literal 2 binary64))) (sin.f64 th)) | |
| ✓ | 49.3% | (*.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)) |
| 26.4% | (*.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)) | |
| 31.0% | (*.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)) | |
| 31.6% | (*.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)) | |
| 23.3% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64)))) (sin.f64 th)) | |
| ✓ | 27.6% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
| 19.0% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) | |
| 18.7% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) | |
| 34.0% | (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 35.2% | (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) | |
| 27.6% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) | |
| 36.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 th)) | |
| 45.5% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th)) | |
| 79.9% | (*.f64 (*.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))) (sin.f64 th)) | |
| 35.0% | (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))))) | |
| 36.1% | (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))))))) | |
| 27.6% | (*.f64 (sin.f64 ky) (*.f64 (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 th))) | |
| 25.8% | (*.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)) | |
| 79.8% | (*.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)) | |
| 23.2% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin 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))) (sin.f64 th)) | |
| 23.7% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) | |
| 30.9% | #s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (*.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) ky))))))) | |
| 41.0% | #s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))))))) | |
| 25.8% | #s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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))))))) | |
| 25.8% | #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))))))) | |
| 79.8% | #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))))))))) | |
| 40.9% | #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))))))))) | |
| 22.6% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) | |
| 20.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) | |
| 20.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) | |
| 16.6% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 14.7% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) | |
| 16.7% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)))) | |
| ✓ | 29.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
| 15.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) | |
| 15.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) | |
| 14.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) | |
| 3.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #s(literal -1 binary64)))) | |
| 19.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) | |
| 15.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 th))))) | |
| 14.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) | |
| 15.8% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 binary64)) #s(literal -1/6 binary64) th))) | |
| 15.8% | #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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) | |
| 15.8% | #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))) | |
| 15.8% | #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))) | |
| 15.8% | #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))) | |
| 15.8% | #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 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 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) | |
| 13.7% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) | |
| 15.6% | #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))) | |
| 15.8% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 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 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) #s(literal -1 binary64))))) | |
| 9.6% | #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))))) | |
| 6.1% | #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 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) | |
| 6.1% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))))) |
Compiled 6 462 to 2 682 computations (58.5% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(*.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 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (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))))) |
(/.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 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))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) #s(literal 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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) (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))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (*.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) ky))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (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))))) #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 (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #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 (*.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)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 ky) (*.f64 (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 th))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) th)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (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 (/.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 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) 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 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))))))))) |
(*.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 (/.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 (*.f64 (sin.f64 th) (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)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 th)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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) (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 (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 -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))) (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 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)) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th)) |
(/.f64 (/.f64 (sin.f64 th) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (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 th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (*.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 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) |
(/.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 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(*.f64 (/.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))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) #s(literal 1 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)))))) (sin.f64 th)) |
| Outputs |
|---|
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
9 calls:
| 66.0ms | ky |
| 54.0ms | kx |
| 36.0ms | th |
| 35.0ms | (sin.f64 th) |
| 35.0ms | (*.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 |
|---|---|---|
| 99.6% | 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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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))))) |
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #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 (*.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)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 ky) (*.f64 (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 th))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) th)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (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 (/.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 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) 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 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))))))))) |
(*.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 (/.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 (*.f64 (sin.f64 th) (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)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 th)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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) (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 (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 -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))) (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))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
9 calls:
| 60.0ms | (sin.f64 ky) |
| 35.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 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)) |
| 32.0ms | kx |
| 31.0ms | th |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | kx |
| 99.5% | 1 | ky |
| 99.5% | 1 | th |
| 99.5% | 1 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 99.5% | 1 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 99.5% | 1 | (sin.f64 ky) |
| 99.5% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 99.5% | 1 | (sin.f64 kx) |
| 99.5% | 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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(*.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 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (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))))) |
(/.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 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))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) #s(literal 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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) (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))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (*.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) ky))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (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))))) #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 (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #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 (*.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)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 ky) (*.f64 (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 th))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) th)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (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 (/.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 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) 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 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))))))))) |
(*.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 (/.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 (*.f64 (sin.f64 th) (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)) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 th)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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) (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 (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 -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))) (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 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (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)) |
9 calls:
| 34.0ms | (sin.f64 th) |
| 32.0ms | (sin.f64 ky) |
| 30.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 30.0ms | (sin.f64 kx) |
| 30.0ms | (*.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 |
|---|---|---|
| 96.1% | 2 | kx |
| 99.0% | 2 | ky |
| 87.6% | 2 | th |
| 86.9% | 4 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 98.0% | 4 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 99.0% | 3 | (sin.f64 ky) |
| 96.1% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 96.1% | 3 | (sin.f64 kx) |
| 87.6% | 3 | (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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(*.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 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (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))))) |
(/.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 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))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) #s(literal 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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) (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))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (*.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) ky))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (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))))) #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 (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #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 (*.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)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 ky) (*.f64 (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 th))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) th)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (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 (/.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 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) 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 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))))))))) |
(*.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)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 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 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))))))))) |
1 calls:
| 31.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | ky |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(*.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 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (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))))) |
(/.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 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))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) #s(literal 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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) (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))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (*.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) ky))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (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))))) #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 (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #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 (*.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)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 ky) (*.f64 (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 th))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) th)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (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 (/.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 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) th))) |
| Outputs |
|---|
(*.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 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) 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 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
9 calls:
| 55.0ms | ky |
| 30.0ms | (sin.f64 ky) |
| 30.0ms | (sin.f64 kx) |
| 28.0ms | kx |
| 26.0ms | (*.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 |
|---|---|---|
| 69.4% | 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)) |
| 72.2% | 4 | (sin.f64 th) |
| 70.3% | 2 | th |
| 73.4% | 4 | (sin.f64 kx) |
| 80.8% | 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))))) |
| 72.8% | 3 | kx |
| 72.9% | 3 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 73.7% | 3 | (sin.f64 ky) |
| 73.5% | 2 | ky |
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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(*.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 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (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))))) |
(/.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 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))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) #s(literal 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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) (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))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (*.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) ky))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (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))))) #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 (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #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 (*.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)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 ky) (*.f64 (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 th))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) th)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (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 (/.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 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th)) |
| Outputs |
|---|
(*.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 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (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)) |
1 calls:
| 24.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 5 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(*.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 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (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))))) |
(/.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 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))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) #s(literal 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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) (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))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (*.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) ky))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (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))))) #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 (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #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 (*.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)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 ky) (*.f64 (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 th))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) th)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (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)) |
| Outputs |
|---|
(*.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 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (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)) |
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 |
|---|---|---|
| 80.5% | 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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(*.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 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (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))))) |
(/.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 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))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) #s(literal 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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) (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))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (*.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) ky))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (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))))) #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 (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #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 (*.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)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 ky) (*.f64 (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 th))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) th)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (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 (*.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)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (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)) |
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 |
|---|---|---|
| 80.5% | 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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(*.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 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (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))))) |
(/.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 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))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) #s(literal 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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) (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))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (*.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) ky))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (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))))) #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 (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #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 (*.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)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 ky) (*.f64 (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 th))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64)))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) 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 (*.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)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (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)) |
1 calls:
| 26.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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))))) |
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #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 (*.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)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 ky) (*.f64 (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 th))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (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 (*.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)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (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)) |
8 calls:
| 60.0ms | (/.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))))) |
| 51.0ms | ky |
| 50.0ms | (sin.f64 kx) |
| 37.0ms | (sin.f64 ky) |
| 25.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.0% | 4 | (sin.f64 th) |
| 67.4% | 5 | (sin.f64 kx) |
| 65.7% | 3 | th |
| 67.1% | 4 | kx |
| 65.3% | 4 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 66.5% | 4 | (sin.f64 ky) |
| 66.3% | 3 | ky |
| 73.6% | 5 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(*.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 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (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))))) |
(/.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 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))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) #s(literal 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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) (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))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (*.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) ky))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (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))))) #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 (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #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 (*.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)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 ky) (*.f64 (pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) #s(literal -1 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 (*.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)) 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 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #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))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 39.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.2% | 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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(*.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 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (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))))) |
(/.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 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))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) #s(literal 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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) (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))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (*.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) ky))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (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))))) #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 (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) kx) kx)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky))))))) |
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) ky) ky)))))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #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 (*.f64 (fma.f64 #s(literal -4/3 binary64) (*.f64 kx kx) #s(literal 4 binary64)) 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 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #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))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 20.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.1% | 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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(*.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 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (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))))) |
(/.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 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))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) #s(literal 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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) (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))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (*.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) ky))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (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))))) #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 #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 th (*.f64 #s(literal 2 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #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))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 19.0ms | (/.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 |
|---|---|---|
| 73.0% | 5 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(*.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 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (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))))) |
(/.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 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))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) #s(literal 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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) (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))))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 ky)) (*.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) 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 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #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))))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 71.0ms | (/.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 |
|---|---|---|
| 73.0% | 5 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(*.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 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (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))))) |
(/.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 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))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) #s(literal 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 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (sin.f64 ky)) (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 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 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)) |
3 calls:
| 56.0ms | (*.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)) |
| 36.0ms | ky |
| 18.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.3% | 3 | ky |
| 49.4% | 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)) |
| 65.5% | 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 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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(*.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 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (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))))) |
(/.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 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))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) #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 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))))) #s(literal 2 binary64))) (sin.f64 th)) |
8 calls:
| 56.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 47.0ms | (/.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 | kx |
| 30.0ms | (sin.f64 kx) |
| 23.0ms | (sin.f64 th) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.4% | 3 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 56.6% | 3 | (sin.f64 kx) |
| 55.2% | 3 | (sin.f64 ky) |
| 40.3% | 3 | (sin.f64 th) |
| 56.6% | 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))))) |
| 57.4% | 3 | kx |
| 38.2% | 2 | th |
| 53.6% | 3 | ky |
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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(*.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 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (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))))) |
(/.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 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 |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
5 calls:
| 29.0ms | kx |
| 26.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 18.0ms | (sin.f64 kx) |
| 17.0ms | (sin.f64 ky) |
| 17.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.2% | 3 | (sin.f64 ky) |
| 56.6% | 4 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 54.7% | 3 | (sin.f64 kx) |
| 52.1% | 3 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 52.1% | 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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(*.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 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) #s(literal -1 binary64))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (pow.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) #s(literal -1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 46.0ms | (sin.f64 ky) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.2% | 3 | (sin.f64 ky) |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th)) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 22.0ms | (sin.f64 ky) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.2% | 3 | (sin.f64 ky) |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 15.0ms | (sin.f64 ky) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.2% | 3 | (sin.f64 ky) |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
| Outputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
2 calls:
| 14.0ms | (sin.f64 ky) |
| 13.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.7% | 3 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 56.1% | 4 | (sin.f64 ky) |
Compiled 15 to 15 computations (0% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
1 calls:
| 26.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.7% | 3 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (log.f64 (sin.f64 th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
3 calls:
| 20.0ms | (sin.f64 kx) |
| 14.0ms | (sin.f64 ky) |
| 13.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.1% | 3 | (sin.f64 ky) |
| 51.2% | 3 | (sin.f64 kx) |
| 52.3% | 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 17 to 19 computations (-11.8% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #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 (*.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))))))) |
#s(approx (* (/ (sin ky) (/ (sqrt (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx)))))) 2)) (sin th)) (*.f64 (*.f64 ky (*.f64 (*.f64 #s(literal 2 binary64) (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 #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 (sin.f64 ky) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) #s(approx (+ (* (- 1 (cos (* 2 kx))) 2) (* (* (+ (* (+ (* (* ky ky) 8/45) -4/3) (* ky ky)) 4) ky) ky)) (*.f64 (fma.f64 (fma.f64 #s(literal 8/45 binary64) (*.f64 ky ky) #s(literal -4/3 binary64)) (*.f64 ky ky) #s(literal 4 binary64)) (*.f64 ky ky))))) #s(literal 2 binary64))) (sin.f64 th)) |
| Outputs |
|---|
#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))))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
3 calls:
| 16.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 15.0ms | (sin.f64 ky) |
| 12.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.7% | 5 | (sin.f64 ky) |
| 48.7% | 5 | ky |
| 51.1% | 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 16 to 18 computations (-12.5% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (sin kx) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))) th) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 th)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 th #s(literal 6 binary64)) (*.f64 (neg.f64 th) th)))))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (*.f64 th th) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
5 calls:
| 15.0ms | kx |
| 14.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 14.0ms | (*.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)) |
| 12.0ms | (sin.f64 kx) |
| 11.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.3% | 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)) |
| 40.8% | 3 | (sin.f64 kx) |
| 39.9% | 2 | kx |
| 39.9% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 47.5% | 2 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 36 to 37 computations (-2.8% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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)) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 th) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) |
(/.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)) (pow.f64 (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (fma.f64 #s(literal 1/6 binary64) th (/.f64 th (*.f64 th th)))))) #s(literal -1 binary64)))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) th))) #s(literal -1 binary64)))) |
| 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:
| 9.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.3% | 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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
#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:
| 6.0ms | (/.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 |
|---|---|---|
| 47.0% | 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 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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (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 th) (fma.f64 (pow.f64 (*.f64 th th) #s(literal 3/2 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)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(literal 1 binary64)) (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 (-.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 th) #s(approx (+ (* (* -1/6 (* th th)) th) th) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (*.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th))) #s(literal -1/2 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (log.f64 th)))) |
#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 3/2 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)) (exp.f64 (*.f64 (log.f64 #s(approx (pow (sin th) -1) #s(approx (/ (+ (* (* th th) 1/6) 1) th) (*.f64 #s(literal 1/6 binary64) th)))) #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 (exp.f64 (*.f64 (log.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)) (exp.f64 #s(approx (* (log (pow (sin th) -1)) -1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) (log.f64 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 3/2 binary64)) (*.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) th))) |
| Outputs |
|---|
#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)) (sin.f64 th)) |
9 calls:
| 13.0ms | kx |
| 7.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 7.0ms | th |
| 6.0ms | (*.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)) |
| 6.0ms | (sin.f64 kx) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.3% | 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)) |
| 29.5% | 1 | th |
| 29.5% | 1 | (sin.f64 th) |
| 29.5% | 1 | (sin.f64 kx) |
| 31.6% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 31.8% | 2 | kx |
| 32.0% | 2 | ky |
| 32.4% | 2 | (sin.f64 ky) |
| 35.2% | 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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (sin.f64 th)) |
| Outputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
7 calls:
| 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)) |
| 3.0ms | (sin.f64 ky) |
| 3.0ms | ky |
| 3.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 3.0ms | (sin.f64 th) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.5% | 1 | (sin.f64 th) |
| 29.5% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 29.5% | 1 | kx |
| 29.5% | 1 | ky |
| 29.5% | 1 | (sin.f64 ky) |
| 29.5% | 1 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 29.5% | 1 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)))) |
9 calls:
| 5.0ms | (sin.f64 ky) |
| 3.0ms | 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 | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 16.7% | 1 | th |
| 16.7% | 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)) |
| 16.7% | 1 | (sin.f64 kx) |
| 16.7% | 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))))) |
| 16.7% | 1 | (sin.f64 ky) |
| 16.7% | 1 | kx |
| 16.7% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 16.7% | 1 | ky |
| 16.7% | 1 | (sin.f64 th) |
Compiled 42 to 51 computations (-21.4% saved)
Total -0.5b remaining (-0.9%)
Threshold costs -0.5b (-0.9%)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
9 calls:
| 52.0ms | 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)) |
| 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 | ky |
| 2.0ms | (sin.f64 ky) |
| Accuracy | Segments | Branch |
|---|---|---|
| 15.8% | 1 | kx |
| 15.8% | 1 | th |
| 15.8% | 1 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 15.8% | 1 | (sin.f64 th) |
| 15.8% | 1 | (sin.f64 ky) |
| 15.8% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 15.8% | 1 | (sin.f64 kx) |
| 15.8% | 1 | ky |
| 15.8% | 1 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 42 to 51 computations (-21.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 2.7702915872416586e-6 | 0.007687841762389335 |
| 16.0ms | 128× | 0 | valid |
Compiled 371 to 330 computations (11.1% saved)
ival-sin: 7.0ms (56.7% of total)ival-pow2: 2.0ms (16.2% of total)ival-div: 1.0ms (8.1% of total)ival-add: 1.0ms (8.1% of total)ival-mult: 1.0ms (8.1% of total)ival-sqrt: 1.0ms (8.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 2.7702915872416586e-6 | 0.007687841762389335 |
Compiled 587 to 482 computations (17.9% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9532327134485805 | 0.9899044144345178 |
| 0.0ms | 0.0005037990877645672 | 0.011796885553062502 |
| 0.0ms | -0.24618365426949146 | -0.0735123100999942 |
| 0.0ms | -0.9991329360518386 | -0.9972278162949128 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9532327134485805 | 0.9899044144345178 |
| 0.0ms | 0.05169388990818168 | 0.06305297605770499 |
| 0.0ms | -0.24618365426949146 | -0.0735123100999942 |
| 0.0ms | -0.9998397966920578 | -0.9991329360518386 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9532327134485805 | 0.9899044144345178 |
| 0.0ms | 0.05169388990818168 | 0.06305297605770499 |
| 0.0ms | -0.0735123100999942 | 1.4534916785773907e-297 |
| 0.0ms | -0.9998397966920578 | -0.9991329360518386 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9532327134485805 | 0.9899044144345178 |
| 0.0ms | 0.05169388990818168 | 0.06305297605770499 |
| 0.0ms | -0.0735123100999942 | 1.4534916785773907e-297 |
| 0.0ms | -0.9998397966920578 | -0.9991329360518386 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9532327134485805 | 0.9899044144345178 |
| 0.0ms | 0.05169388990818168 | 0.06305297605770499 |
| 0.0ms | -0.0735123100999942 | 1.4534916785773907e-297 |
| 0.0ms | -0.9998397966920578 | -0.9991329360518386 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9532327134485805 | 0.9899044144345178 |
| 0.0ms | 0.0005037990877645672 | 0.011796885553062502 |
| 0.0ms | -0.24618365426949146 | -0.0735123100999942 |
| 0.0ms | -0.9998397966920578 | -0.9991329360518386 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9532327134485805 | 0.9899044144345178 |
| 0.0ms | 0.011796885553062502 | 0.05169388990818168 |
| 0.0ms | -0.24618365426949146 | -0.0735123100999942 |
| 0.0ms | -0.9998397966920578 | -0.9991329360518386 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9532327134485805 | 0.9899044144345178 |
| 0.0ms | 0.011796885553062502 | 0.05169388990818168 |
| 0.0ms | -0.24618365426949146 | -0.0735123100999942 |
| 0.0ms | -0.9998397966920578 | -0.9991329360518386 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9532327134485805 | 0.9899044144345178 |
| 0.0ms | 0.011796885553062502 | 0.05169388990818168 |
| 0.0ms | -0.24618365426949146 | -0.0735123100999942 |
| 0.0ms | -0.9991329360518386 | -0.9972278162949128 |
Compiled 19 to 19 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9532327134485805 | 0.9899044144345178 |
| 0.0ms | 0.011796885553062502 | 0.05169388990818168 |
| 0.0ms | -0.24618365426949146 | -0.0735123100999942 |
| 0.0ms | -0.9991329360518386 | -0.9972278162949128 |
Compiled 19 to 19 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 0.6708443035066872 | 5531965246.0291195 |
| 14.0ms | 1.3298389480289723e-191 | 2.4819030791310265e-191 |
| 37.0ms | 224× | 0 | valid |
Compiled 1 349 to 962 computations (28.7% saved)
ival-sin: 21.0ms (67.6% of total)ival-pow2: 4.0ms (12.9% of total)ival-sqrt: 2.0ms (6.4% of total)ival-div: 1.0ms (3.2% of total)ival-add: 1.0ms (3.2% of total)ival-mult: 1.0ms (3.2% 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 |
|---|---|---|
| 30.0ms | 2.436034890440997e-9 | 0.0038460451418166402 |
| 283.0ms | 4.515515353438769e-117 | 2.6812643856062256e-114 |
| 301.0ms | 272× | 0 | valid |
Compiled 1 137 to 838 computations (26.3% saved)
ival-sin: 19.0ms (63.3% of total)ival-pow2: 5.0ms (16.7% of total)ival-div: 2.0ms (6.7% of total)ival-mult: 2.0ms (6.7% of total)ival-sqrt: 2.0ms (6.7% of total)ival-add: 1.0ms (3.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.007687766033641927 | 0.014032941690612383 |
| 0.0ms | 1.3298389480289723e-191 | 2.4819030791310265e-191 |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.007687766033641927 | 0.014032941690612383 |
| 0.0ms | 1.3298389480289723e-191 | 2.4819030791310265e-191 |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.007687766033641927 | 0.014032941690612383 |
| 0.0ms | 1.3298389480289723e-191 | 2.4819030791310265e-191 |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.007687766033641927 | 0.014032941690612383 |
| 0.0ms | 1.3298389480289723e-191 | 2.4819030791310265e-191 |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.17363814418375412 | 0.24466513403516577 |
| 0.0ms | -0.0735123100999942 | 1.4534916785773907e-297 |
Compiled 19 to 19 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.17363814418375412 | 0.24466513403516577 |
| 0.0ms | -0.24618365426949146 | -0.0735123100999942 |
Compiled 19 to 19 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.17363814418375412 | 0.24466513403516577 |
Compiled 19 to 19 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.58359254712094e-9 | 0.0005037990877645672 |
Compiled 19 to 19 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.011796885553062502 | 0.05169388990818168 |
Compiled 19 to 19 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.011796885553062502 | 0.05169388990818168 |
Compiled 19 to 19 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.011796885553062502 | 0.05169388990818168 |
Compiled 19 to 19 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.296839453799709e-66 | 3.788942505980165e-66 |
| 5.0ms | 80× | 0 | valid |
Compiled 279 to 229 computations (17.9% saved)
ival-sin: 2.0ms (77.3% of total)ival-mult: 1.0ms (38.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 317 | 3800 |
| 1 | 388 | 3744 |
| 2 | 495 | 3744 |
| 3 | 810 | 3740 |
| 4 | 1378 | 3686 |
| 5 | 2247 | 3686 |
| 6 | 3285 | 3686 |
| 7 | 4880 | 3686 |
| 8 | 6051 | 3686 |
| 9 | 7258 | 3686 |
| 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 ky #s(literal 6198106008766409/295147905179352825856 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (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))) |
(if (<=.f64 ky #s(literal 6198106008766409/295147905179352825856 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 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 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 -4494592428115755/4503599627370496 binary64)) (*.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)) (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 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) th))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.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)) (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 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) th))) #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 3022314549036573/302231454903657293676544 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 (*.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))))))) #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 5764607523034235/288230376151711744 binary64)) (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (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 5764607523034235/288230376151711744 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 5764607523034235/288230376151711744 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 6829695324231079/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) #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)) (sin.f64 th))) |
#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)) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 ky #s(literal 6198106008766409/295147905179352825856 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (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))) |
(if (<=.f64 ky #s(literal 6198106008766409/295147905179352825856 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (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))) |
(if (<=.f64 ky #s(literal 6198106008766409/295147905179352825856 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 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 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 ky #s(literal 6198106008766409/295147905179352825856 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (hypot.f64 (sin.f64 kx) (sin.f64 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 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 -4494592428115755/4503599627370496 binary64)) (*.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)) (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 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) th))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.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)) (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 #s(literal 1 binary64) #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) 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 -4494592428115755/4503599627370496 binary64)) (*.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)) (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)) (pow.f64 #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) th)) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.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)) (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)) (pow.f64 #s(approx (/ (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sin th)) (/.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) th)) #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 -4501347827556811/4503599627370496 binary64)) (*.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)) (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 #s(approx (* (sin th) (sin ky)) (*.f64 (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 1080863910568919/18014398509481984 binary64)) (*.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)) (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 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (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)))))) |
(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 -4501347827556811/4503599627370496 binary64)) (*.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)) (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 (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 1080863910568919/18014398509481984 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1080863910568919/1125899906842624 binary64)) (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (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)))))) |
(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 -4501347827556811/4503599627370496 binary64)) (*.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)) (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 (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 1080863910568919/18014398509481984 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1080863910568919/1125899906842624 binary64)) (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (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)))))) |
(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 -4501347827556811/4503599627370496 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 (*.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)) 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 #s(approx (* (sin th) (sin ky)) (*.f64 (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 1080863910568919/18014398509481984 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1080863910568919/1125899906842624 binary64)) (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (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)))))) |
(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 -4501347827556811/4503599627370496 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 (*.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)) 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 #s(approx (* (sin th) (sin ky)) (*.f64 (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 1080863910568919/18014398509481984 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1080863910568919/1125899906842624 binary64)) (/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (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)))))) |
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(if (<=.f64 (sin.f64 ky) #s(literal 802633041618099/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408 binary64)) (pow.f64 (/.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (sin.f64 th)) (sin.f64 ky)) #s(literal -1 binary64)) (if (<=.f64 (sin.f64 ky) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)))) |
(if (<=.f64 (sin.f64 ky) #s(literal 802633041618099/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) (if (<=.f64 (sin.f64 ky) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)))) |
(if (<=.f64 (sin.f64 ky) #s(literal 802633041618099/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64)) (if (<=.f64 (sin.f64 ky) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)))) |
(if (<=.f64 (sin.f64 ky) #s(literal 802633041618099/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (sin.f64 th)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)))) |
(if (<=.f64 (sin.f64 ky) #s(literal 802633041618099/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408 binary64)) (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (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)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (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 -3602879701896397/18014398509481984 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (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 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (/.f64 (sqrt.f64 #s(approx (+ (* (- 1 (cos (* ky 2))) 2) (* 2 (- 1 (cos (* 2 kx))))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64) (*.f64 (*.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)) ky) ky)))) #s(literal 2 binary64))) (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 3022314549036573/302231454903657293676544 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 (*.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))))))) #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 3022314549036573/302231454903657293676544 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 (*.f64 (sin.f64 th) ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 5764607523034235/288230376151711744 binary64)) (*.f64 (/.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (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 5764607523034235/288230376151711744 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 5764607523034235/288230376151711744 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 5764607523034235/288230376151711744 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 6829695324231079/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) #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)) (sin.f64 th))) |
#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)) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #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)) (pow.f64 #s(approx (pow (sin th) -1) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) #s(literal -1 binary64))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 152 |
| 0 | 52 | 145 |
| 1 | 192 | 145 |
| 2 | 1181 | 145 |
| 0 | 9473 | 145 |
| 0 | 13 | 49 |
| 0 | 22 | 49 |
| 1 | 62 | 49 |
| 2 | 344 | 49 |
| 3 | 2978 | 49 |
| 0 | 8260 | 34 |
| 0 | 48 | 282 |
| 0 | 82 | 221 |
| 1 | 282 | 212 |
| 2 | 1721 | 206 |
| 0 | 9197 | 206 |
| 0 | 518 | 2497 |
| 1 | 1671 | 2372 |
| 2 | 6223 | 2227 |
| 0 | 8711 | 2046 |
| 0 | 875 | 5223 |
| 1 | 2829 | 4852 |
| 2 | 7213 | 4694 |
| 0 | 8049 | 4442 |
| 0 | 317 | 1402 |
| 1 | 1011 | 1353 |
| 2 | 3865 | 1261 |
| 3 | 7812 | 1261 |
| 0 | 8115 | 1188 |
| 0 | 68 | 457 |
| 0 | 111 | 433 |
| 1 | 398 | 408 |
| 2 | 2485 | 408 |
| 0 | 8381 | 405 |
| 0 | 775 | 4461 |
| 1 | 2474 | 4131 |
| 0 | 8337 | 3899 |
| 1× | fuel |
| 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× | 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 6 694 to 2 411 computations (64% saved)
(negabs ky)
(negabs th)
(abs kx)
Compiled 7 760 to 778 computations (90% saved)
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