Toniolo and Linder, Equation (3b), real
Time bar (total: 9.9s)
| 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: 664.0ms (60.7% of total)ival-pow2: 195.0ms (17.8% of total)ival-mult: 75.0ms (6.9% of total)ival-sqrt: 59.0ms (5.4% of total)ival-div: 51.0ms (4.7% of total)ival-add: 39.0ms (3.6% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 16 | 0 | - | 1 | (1.4567162910916626e-199 -1.1055950478998861e-156 -1.9839427019149654e-174) | (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 | 15 | 0 |
| ↳ | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) | underflow | 62 | |
| ↳ | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) | underflow | 59 | |
| ↳ | (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) | underflow | 15 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 15 | 1 |
| - | 0 | 240 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 15 | 0 | 1 |
| - | 0 | 0 | 240 |
| number | freq |
|---|---|
| 0 | 241 |
| 1 | 15 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 130.0ms | 512× | 0 | valid |
Compiled 218 to 56 computations (74.3% saved)
ival-sin: 61.0ms (55.6% of total)ival-pow2: 35.0ms (31.9% of total)ival-div: 3.0ms (2.7% of total)ival-mult: 3.0ms (2.7% of total)ival-sqrt: 3.0ms (2.7% of total)ival-add: 2.0ms (1.8% of total)ival-true: 1.0ms (0.9% 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 |
|---|---|---|
| ▶ | 93.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 ky) | |
| cost-diff | 0 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| cost-diff | 5 | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 66 |
| 0 | 22 | 66 |
| 1 | 28 | 66 |
| 2 | 32 | 66 |
| 3 | 33 | 66 |
| 0 | 33 | 51 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(sin.f64 ky) |
ky |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(sin.f64 kx) |
kx |
#s(literal 2 binary64) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(sin.f64 th) |
th |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(sin.f64 ky) |
ky |
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(sin.f64 kx) |
kx |
#s(literal 2 binary64) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(sin.f64 th) |
th |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.178066259768442 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| accuracy | 0.240566259768442 | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) | |
| accuracy | 0.24837875976844204 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) | |
| accuracy | 3.708351803835732 | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
| 56.0ms | 256× | 0 | valid |
Compiled 134 to 28 computations (79.1% saved)
ival-sin: 22.0ms (47.8% of total)ival-pow2: 18.0ms (39.1% of total)ival-mult: 2.0ms (4.3% of total)ival-sqrt: 2.0ms (4.3% of total)ival-div: 1.0ms (2.2% of total)ival-add: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(sin.f64 ky) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
| Outputs |
|---|
(sin ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(sin th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
1 |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(pow kx 2) |
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(pow (sin kx) 2) |
(sin kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(/ ky (sin kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(pow ky 2) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(pow (sin ky) 2) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | th | @ | -inf | ((sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (pow (sin kx) 2) (pow (sin ky) 2)) |
| 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 kx) 2) (pow (sin ky) 2)) |
| 4.0ms | kx | @ | inf | ((sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (pow (sin kx) 2) (pow (sin ky) 2)) |
| 3.0ms | kx | @ | 0 | ((sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (pow (sin kx) 2) (pow (sin ky) 2)) |
| 3.0ms | kx | @ | -inf | ((sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (pow (sin kx) 2) (pow (sin ky) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 317 | 1402 |
| 1 | 1011 | 1353 |
| 2 | 3865 | 1261 |
| 3 | 7812 | 1261 |
| 0 | 8115 | 1188 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(sin th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
1 |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(pow kx 2) |
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(pow (sin kx) 2) |
(sin kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(/ ky (sin kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(pow ky 2) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(pow (sin ky) 2) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
| Outputs |
|---|
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (*.f64 kx (/.f64 kx (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (sin.f64 ky)) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx (/.f64 kx (sin.f64 ky)))) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 ky))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky))) |
(sin th) |
(sin.f64 th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(fma.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 kx kx) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))))) (fma.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) #s(literal 1 binary64)) |
(pow kx 2) |
(*.f64 kx kx) |
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 kx kx)) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx)) |
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3)))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 kx kx) #s(literal 2/45 binary64)) (*.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 th) (sin.f64 ky))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(sin kx) |
(sin.f64 kx) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (*.f64 ky (/.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (pow.f64 ky #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 ky (/.f64 ky (sin.f64 kx)))) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 kx))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))) |
(/ (* ky (sin th)) (sin kx)) |
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/120 binary64)) (*.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th)))) (*.f64 ky ky) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #s(literal -1/12 binary64) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/120 binary64)) (*.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th))))) (*.f64 ky ky) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 (neg.f64 (pow.f64 ky #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (/.f64 ky (sin.f64 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (+.f64 (fma.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (*.f64 ky ky) (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (/.f64 ky (sin.f64 kx))) |
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (sin.f64 kx) (fma.f64 #s(literal -1/12 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (-.f64 (/.f64 #s(literal -1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 ky ky) (+.f64 (fma.f64 (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)))) (*.f64 ky ky) (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (/.f64 ky (sin.f64 kx))) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) #s(literal -1/6 binary64) ky) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) ky) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)) (*.f64 ky ky) #s(literal -1/6 binary64)) ky) |
(pow ky 2) |
(*.f64 ky ky) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(fma.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 ky ky)) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(fma.f64 (pow.f64 ky #s(literal 4 binary64)) (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (*.f64 ky ky)) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(fma.f64 (pow.f64 ky #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) (*.f64 ky ky) #s(literal -1/3 binary64)) (*.f64 ky ky)) |
(pow (sin ky) 2) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th th)) (*.f64 (sin.f64 ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) th) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(*.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 th th) #s(literal 1/120 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) th) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 49 |
| 0 | 22 | 49 |
| 1 | 62 | 49 |
| 2 | 344 | 49 |
| 3 | 2978 | 49 |
| 0 | 8260 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(sin.f64 ky) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 12 binary64))))) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (+.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 12 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (pow.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (sqrt.f64 (pow.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
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(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 ky)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) |
(*.f64 (sin.f64 ky) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))) |
(/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(exp.f64 (-.f64 (neg.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (log.f64 (sin.f64 ky))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)) (neg.f64 (log.f64 (sin.f64 ky))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (sin.f64 ky))))) |
(exp.f64 (neg.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))) |
(exp.f64 (+.f64 (neg.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (log.f64 (sin.f64 ky)))) |
(exp.f64 (fma.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64) (log.f64 (sin.f64 ky)))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (log.f64 (sin.f64 ky)))) |
(exp.f64 (+.f64 (log.f64 (sin.f64 ky)) (neg.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) |
(exp.f64 (+.f64 (log.f64 (sin.f64 ky)) (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)))) |
(exp.f64 (+.f64 (log.f64 (sin.f64 ky)) (*.f64 (log.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) |
(exp.f64 (-.f64 (log.f64 (sin.f64 ky)) (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 ky))) |
(*.f64 #s(literal 1 binary64) (sin.f64 ky)) |
(*.f64 (sin.f64 ky) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sin.f64 ky))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (sin.f64 ky)))) |
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sin.f64 ky) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (sin.f64 ky))) |
(sin.f64 ky) |
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 ky))) |
(exp.f64 (neg.f64 (neg.f64 (log.f64 (sin.f64 ky))))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 ky))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (sin.f64 ky))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 kx))) |
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 kx))) |
(*.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 kx) (sin.f64 kx)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 kx))) |
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 kx))) |
(pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (exp.f64 (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 kx)))) |
(exp.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 kx)) (cos.f64 kx))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 ky))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 ky))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (sin.f64 ky) (sin.f64 ky)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 ky))) |
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 ky))) |
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (exp.f64 (log.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 ky) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 ky)))) |
(exp.f64 (log.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 ky)) (cos.f64 ky))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
Compiled 9 472 to 1 772 computations (81.3% saved)
24 alts after pruning (24 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 346 | 24 | 370 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 347 | 24 | 371 |
| Status | Accuracy | Program |
|---|---|---|
| 97.6% | (/.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))) | |
| 73.8% | (*.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 th)) | |
| 67.9% | (*.f64 (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)) (sin.f64 th)) | |
| ▶ | 99.7% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
| 93.4% | (*.f64 (/.f64 (sin.f64 ky) (pow.f64 (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))) (sin.f64 th)) | |
| 80.1% | (*.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) (*.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)) | |
| 72.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| 43.4% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) | |
| 87.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| 54.1% | (*.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)) | |
| 39.3% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))) (sin.f64 th)) | |
| ▶ | 30.2% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))) (sin.f64 th)) |
| 32.1% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) | |
| 73.5% | (*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th)) | |
| ▶ | 97.4% | (*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| ▶ | 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))))) |
| 99.5% | (*.f64 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) | |
| 27.6% | (*.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)) | |
| 29.4% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) | |
| 47.9% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.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)))) | |
| 47.5% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) | |
| ▶ | 33.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
Compiled 956 to 738 computations (22.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| cost-diff | 0 | (sin.f64 ky) | |
| cost-diff | 0 | (sqrt.f64 (sin.f64 ky)) | |
| cost-diff | 5 | (*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) | |
| cost-diff | 0 | (sin.f64 ky) | |
| cost-diff | 0 | (neg.f64 (sin.f64 ky)) | |
| cost-diff | 0 | (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) | |
| cost-diff | 3 | (*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| cost-diff | 0 | #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (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))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))) (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 | (sin.f64 th) | |
| cost-diff | 0 | (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 255 |
| 0 | 58 | 227 |
| 1 | 93 | 227 |
| 2 | 144 | 227 |
| 3 | 272 | 227 |
| 4 | 511 | 227 |
| 5 | 1051 | 227 |
| 6 | 1614 | 227 |
| 7 | 2797 | 227 |
| 8 | 3080 | 227 |
| 9 | 3164 | 227 |
| 10 | 3225 | 227 |
| 11 | 3271 | 227 |
| 12 | 3333 | 227 |
| 13 | 3517 | 227 |
| 14 | 3796 | 227 |
| 15 | 3931 | 227 |
| 16 | 4170 | 227 |
| 17 | 4234 | 227 |
| 18 | 4246 | 227 |
| 19 | 4258 | 227 |
| 20 | 4262 | 227 |
| 21 | 4334 | 227 |
| 22 | 4816 | 227 |
| 23 | 4824 | 227 |
| 0 | 4824 | 227 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin.f64 th) |
th |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin.f64 ky) |
ky |
(sin.f64 kx) |
kx |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))) |
(sin.f64 ky) |
ky |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) |
(/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) |
#s(literal 1/2 binary64) |
(sin.f64 kx) |
kx |
(sin.f64 th) |
th |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) |
(neg.f64 (sin.f64 ky)) |
(sin.f64 ky) |
ky |
(sin.f64 th) |
th |
(/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
#s(literal -1 binary64) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin.f64 kx) |
kx |
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(sqrt.f64 (sin.f64 ky)) |
(sin.f64 ky) |
ky |
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin.f64 th) |
th |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(sin.f64 kx) |
kx |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(sin.f64 th) |
th |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin.f64 ky) |
ky |
(sin.f64 kx) |
kx |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
(sin.f64 th) |
th |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))) (sin.f64 th)) |
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 ky ky) (sin.f64 kx)))) |
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))) |
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 ky ky) (sin.f64 kx)))) |
(sin.f64 ky) |
ky |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 ky ky) (sin.f64 kx))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 ky ky) (sin.f64 kx)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) |
(/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) |
#s(literal 1/2 binary64) |
(sin.f64 kx) |
kx |
(sin.f64 th) |
th |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) |
(neg.f64 (sin.f64 ky)) |
(sin.f64 ky) |
ky |
(sin.f64 th) |
th |
(/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
#s(literal -1 binary64) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin.f64 kx) |
kx |
(*.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 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) |
(sqrt.f64 (sin.f64 ky)) |
(sin.f64 ky) |
ky |
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (sin.f64 ky))) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(sin.f64 th) |
th |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin.f64 kx) |
kx |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (sqrt.f64 (sin.f64 ky)) | |
| accuracy | 0.170253759768442 | (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| accuracy | 0.21484375 | (*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) | |
| accuracy | 0.221035009768442 | (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| accuracy | 0.0 | (neg.f64 (sin.f64 ky)) | |
| accuracy | 0.1484375 | (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) | |
| accuracy | 0.1640625 | (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| accuracy | 1.5548060287591576 | (*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| accuracy | 0.1015625 | (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))) | |
| accuracy | 0.135097509768442 | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))) (sin.f64 th)) | |
| accuracy | 0.171875 | (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) | |
| accuracy | 31.22412639436105 | #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))) | |
| accuracy | 0.0 | (sin.f64 th) | |
| accuracy | 26.657495356642368 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) | |
| accuracy | 0.0 | (sin.f64 ky) | |
| accuracy | 0.0 | (sin.f64 kx) | |
| accuracy | 0.170253759768442 | (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| accuracy | 0.189785009768442 | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
| 123.0ms | 190× | 0 | valid |
| 79.0ms | 66× | 0 | invalid |
Compiled 547 to 65 computations (88.1% saved)
ival-mult: 50.0ms (42.4% of total)ival-sin: 46.0ms (39% of total)ival-div: 6.0ms (5.1% of total)ival-hypot: 4.0ms (3.4% of total)ival-pow2: 4.0ms (3.4% of total)ival-sqrt: 3.0ms (2.5% of total)ival-add: 2.0ms (1.7% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin.f64 th) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))) |
(sin.f64 ky) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) |
(neg.f64 (sin.f64 ky)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(sqrt.f64 (sin.f64 ky)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(sin.f64 kx) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) |
(/.f64 #s(literal -1 binary64) (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)))))))))))) |
(/ (sin th) (sin ky)) |
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky))) |
(sin ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
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)))))) |
(* (sqrt (/ 1 (sin ky))) (sin th)) |
(+ (* -1/2 (* (* (pow kx 2) (sin th)) (sqrt (/ 1 (pow (sin ky) 5))))) (* (sqrt (/ 1 (sin ky))) (sin th))) |
(+ (* (sqrt (/ 1 (sin ky))) (sin th)) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th))) (* 1/2 (* (* (pow kx 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 3))) (* 3/4 (/ 1 (pow (sin ky) 5)))))) (sqrt (sin ky))))))) |
(+ (* (sqrt (/ 1 (sin ky))) (sin th)) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 3))) (* 3/4 (/ 1 (pow (sin ky) 5)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 3))) (+ (* 2/3 (/ 1 (pow (sin ky) 5))) (/ 1 (pow (sin ky) 7))))))) (sqrt (sin ky)))) (* 1/2 (* (sqrt (sin ky)) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 3))) (* 3/4 (/ 1 (pow (sin ky) 5)))))))))))) |
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)))) |
(* 1/2 (/ ky kx)) |
(/ (+ (* 1/12 (* (pow kx 2) ky)) (* 1/2 ky)) kx) |
(/ (+ (* 1/2 ky) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (+ (* -1/36 ky) (* 1/120 ky)))) (* 1/12 ky)))) kx) |
(/ (+ (* 1/2 ky) (* (pow kx 2) (+ (* 1/12 ky) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (+ (* -1/5040 ky) (+ (* 1/720 ky) (* 1/6 (+ (* -1/36 ky) (* 1/120 ky))))))) (* -1/2 (+ (* -1/36 ky) (* 1/120 ky)))))))) kx) |
(/ -1 (sin ky)) |
(- (* 1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky))) |
(- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(- (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
(sin kx) |
(* 1/2 (/ ky (sin kx))) |
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(/ (sin th) (sin kx)) |
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx))) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(/ ky (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)))) |
(* -1 (* ky (sin th))) |
(* ky (+ (* -1 (sin th)) (* 1/6 (* (pow ky 2) (sin th))))) |
(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* -1/120 (* (pow ky 2) (sin th))) (* 1/6 (sin th)))))) |
(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* 1/6 (sin th)) (* (pow ky 2) (+ (* -1/120 (sin th)) (* 1/5040 (* (pow ky 2) (sin th))))))))) |
(* -1 ky) |
(* ky (- (* 1/6 (pow ky 2)) 1)) |
(* ky (- (* (pow ky 2) (+ 1/6 (* -1/120 (pow ky 2)))) 1)) |
(* ky (- (* (pow ky 2) (+ 1/6 (* (pow ky 2) (- (* 1/5040 (pow ky 2)) 1/120)))) 1)) |
(sqrt ky) |
(+ (sqrt ky) (* -1/12 (sqrt (pow ky 5)))) |
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* 1/240 (sqrt (pow ky 3)))))) |
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* (pow ky 2) (+ (* -1/288 (sqrt (/ 1 ky))) (* 1/240 (sqrt (/ 1 ky)))))))) |
(* (sqrt ky) (/ (sin th) (sin kx))) |
(+ (* -1/2 (* (sqrt (pow ky 5)) (* (sin kx) (* (sin th) (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))))))) (* (sqrt ky) (/ (sin th) (sin kx)))) |
(+ (* (sqrt ky) (/ (sin th) (sin kx))) (* (pow ky 3) (+ (* -1/2 (* (sqrt (/ 1 ky)) (* (sin kx) (* (sin th) (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))))))) (* 1/2 (* (sqrt (pow ky 3)) (* (sin kx) (* (sin th) (- (+ (* 1/120 (/ 1 (pow (sin kx) 2))) (* 1/3 (/ 1 (pow (sin kx) 4)))) (* -1 (/ (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))) (pow (sin kx) 2))))))))))) |
(+ (* (sqrt ky) (/ (sin th) (sin kx))) (* (pow ky 3) (+ (* -1/2 (* (sqrt (/ 1 ky)) (* (sin kx) (* (sin th) (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))))))) (* (pow ky 2) (+ (* -1/8 (* (sqrt (/ 1 ky)) (* (pow (sin kx) 3) (* (sin th) (pow (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))) 2))))) (* 1/2 (* (sqrt (/ 1 ky)) (* (sin kx) (* (sin th) (- (+ (* 1/120 (/ 1 (pow (sin kx) 2))) (* 1/3 (/ 1 (pow (sin kx) 4)))) (* -1 (/ (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))) (pow (sin kx) 2))))))))))))) |
(/ -1 (sin kx)) |
(- (* 1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx))) |
(- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(- (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(* -1 (* (sin ky) (sin th))) |
(* -1 (sin ky)) |
(sqrt (sin ky)) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
(* -1 (* th (sin ky))) |
(* th (+ (* -1 (sin ky)) (* 1/6 (* (pow th 2) (sin ky))))) |
(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* -1/120 (* (pow th 2) (sin ky))) (* 1/6 (sin ky)))))) |
(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* 1/6 (sin ky)) (* (pow th 2) (+ (* -1/120 (sin ky)) (* 1/5040 (* (pow th 2) (sin ky))))))))) |
(* th (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | ky | @ | -inf | ((* (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ (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))) (* (* (neg (sin ky)) (sin th)) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (* (neg (sin ky)) (sin th)) (neg (sin ky)) (* (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))) (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (sin kx) (* (/ 1/2 (sin kx)) ky) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 31.0ms | 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 th) (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))) (* (* (neg (sin ky)) (sin th)) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (* (neg (sin ky)) (sin th)) (neg (sin ky)) (* (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))) (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (sin kx) (* (/ 1/2 (sin kx)) ky) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 26.0ms | kx | @ | inf | ((* (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ (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))) (* (* (neg (sin ky)) (sin th)) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (* (neg (sin ky)) (sin th)) (neg (sin ky)) (* (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))) (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (sin kx) (* (/ 1/2 (sin kx)) ky) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 5.0ms | ky | @ | inf | ((* (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ (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))) (* (* (neg (sin ky)) (sin th)) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (* (neg (sin ky)) (sin th)) (neg (sin ky)) (* (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))) (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (sin kx) (* (/ 1/2 (sin kx)) ky) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 4.0ms | kx | @ | 0 | ((* (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ (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))) (* (* (neg (sin ky)) (sin th)) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (* (neg (sin ky)) (sin th)) (neg (sin ky)) (* (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))) (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (sin kx) (* (/ 1/2 (sin kx)) ky) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 624 | 3192 |
| 1 | 2046 | 3009 |
| 2 | 7944 | 2997 |
| 0 | 8154 | 2833 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(/ (sin th) (sin ky)) |
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky))) |
(sin ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
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)))))) |
(* (sqrt (/ 1 (sin ky))) (sin th)) |
(+ (* -1/2 (* (* (pow kx 2) (sin th)) (sqrt (/ 1 (pow (sin ky) 5))))) (* (sqrt (/ 1 (sin ky))) (sin th))) |
(+ (* (sqrt (/ 1 (sin ky))) (sin th)) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th))) (* 1/2 (* (* (pow kx 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 3))) (* 3/4 (/ 1 (pow (sin ky) 5)))))) (sqrt (sin ky))))))) |
(+ (* (sqrt (/ 1 (sin ky))) (sin th)) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 3))) (* 3/4 (/ 1 (pow (sin ky) 5)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 3))) (+ (* 2/3 (/ 1 (pow (sin ky) 5))) (/ 1 (pow (sin ky) 7))))))) (sqrt (sin ky)))) (* 1/2 (* (sqrt (sin ky)) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 3))) (* 3/4 (/ 1 (pow (sin ky) 5)))))))))))) |
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)))) |
(* 1/2 (/ ky kx)) |
(/ (+ (* 1/12 (* (pow kx 2) ky)) (* 1/2 ky)) kx) |
(/ (+ (* 1/2 ky) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (+ (* -1/36 ky) (* 1/120 ky)))) (* 1/12 ky)))) kx) |
(/ (+ (* 1/2 ky) (* (pow kx 2) (+ (* 1/12 ky) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (+ (* -1/5040 ky) (+ (* 1/720 ky) (* 1/6 (+ (* -1/36 ky) (* 1/120 ky))))))) (* -1/2 (+ (* -1/36 ky) (* 1/120 ky)))))))) kx) |
(/ -1 (sin ky)) |
(- (* 1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky))) |
(- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(- (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
(sin kx) |
(* 1/2 (/ ky (sin kx))) |
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(/ (sin th) (sin kx)) |
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx))) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(/ ky (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)))) |
(* -1 (* ky (sin th))) |
(* ky (+ (* -1 (sin th)) (* 1/6 (* (pow ky 2) (sin th))))) |
(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* -1/120 (* (pow ky 2) (sin th))) (* 1/6 (sin th)))))) |
(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* 1/6 (sin th)) (* (pow ky 2) (+ (* -1/120 (sin th)) (* 1/5040 (* (pow ky 2) (sin th))))))))) |
(* -1 ky) |
(* ky (- (* 1/6 (pow ky 2)) 1)) |
(* ky (- (* (pow ky 2) (+ 1/6 (* -1/120 (pow ky 2)))) 1)) |
(* ky (- (* (pow ky 2) (+ 1/6 (* (pow ky 2) (- (* 1/5040 (pow ky 2)) 1/120)))) 1)) |
(sqrt ky) |
(+ (sqrt ky) (* -1/12 (sqrt (pow ky 5)))) |
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* 1/240 (sqrt (pow ky 3)))))) |
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* (pow ky 2) (+ (* -1/288 (sqrt (/ 1 ky))) (* 1/240 (sqrt (/ 1 ky)))))))) |
(* (sqrt ky) (/ (sin th) (sin kx))) |
(+ (* -1/2 (* (sqrt (pow ky 5)) (* (sin kx) (* (sin th) (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))))))) (* (sqrt ky) (/ (sin th) (sin kx)))) |
(+ (* (sqrt ky) (/ (sin th) (sin kx))) (* (pow ky 3) (+ (* -1/2 (* (sqrt (/ 1 ky)) (* (sin kx) (* (sin th) (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))))))) (* 1/2 (* (sqrt (pow ky 3)) (* (sin kx) (* (sin th) (- (+ (* 1/120 (/ 1 (pow (sin kx) 2))) (* 1/3 (/ 1 (pow (sin kx) 4)))) (* -1 (/ (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))) (pow (sin kx) 2))))))))))) |
(+ (* (sqrt ky) (/ (sin th) (sin kx))) (* (pow ky 3) (+ (* -1/2 (* (sqrt (/ 1 ky)) (* (sin kx) (* (sin th) (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))))))) (* (pow ky 2) (+ (* -1/8 (* (sqrt (/ 1 ky)) (* (pow (sin kx) 3) (* (sin th) (pow (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))) 2))))) (* 1/2 (* (sqrt (/ 1 ky)) (* (sin kx) (* (sin th) (- (+ (* 1/120 (/ 1 (pow (sin kx) 2))) (* 1/3 (/ 1 (pow (sin kx) 4)))) (* -1 (/ (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))) (pow (sin kx) 2))))))))))))) |
(/ -1 (sin kx)) |
(- (* 1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx))) |
(- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(- (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(* -1 (* (sin ky) (sin th))) |
(* -1 (sin ky)) |
(sqrt (sin ky)) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))) |
th |
(* th (+ 1 (* -1/6 (pow th 2)))) |
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))) |
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))) |
(* -1 (* th (sin ky))) |
(* th (+ (* -1 (sin ky)) (* 1/6 (* (pow th 2) (sin ky))))) |
(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* -1/120 (* (pow th 2) (sin ky))) (* 1/6 (sin ky)))))) |
(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* 1/6 (sin ky)) (* (pow th 2) (+ (* -1/120 (sin ky)) (* 1/5040 (* (pow th 2) (sin ky))))))))) |
(* th (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))) |
| Outputs |
|---|
(sin th) |
(sin.f64 th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(fma.f64 (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (sin.f64 th)) |
(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky))) |
(fma.f64 (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky))) |
(fma.f64 (fma.f64 (*.f64 (*.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)) (sin.f64 ky)) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 kx kx) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sin.f64 th)) (sin.f64 ky)))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 kx kx) (/.f64 (sin.f64 th) (sin.f64 ky))) |
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 ky)) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (sin.f64 ky)) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(fma.f64 (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)) |
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 (*.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)) |
(* (sqrt (/ 1 (sin ky))) (sin th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)) |
(+ (* -1/2 (* (* (pow kx 2) (sin th)) (sqrt (/ 1 (pow (sin ky) 5))))) (* (sqrt (/ 1 (sin ky))) (sin th))) |
(fma.f64 (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (sin.f64 th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))) |
(+ (* (sqrt (/ 1 (sin ky))) (sin th)) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th))) (* 1/2 (* (* (pow kx 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 3))) (* 3/4 (/ 1 (pow (sin ky) 5)))))) (sqrt (sin ky))))))) |
(fma.f64 (fma.f64 (*.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 5 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sin.f64 th))) (sqrt.f64 (sin.f64 ky)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))))) (*.f64 kx kx) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th))) |
(+ (* (sqrt (/ 1 (sin ky))) (sin th)) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 3))) (* 3/4 (/ 1 (pow (sin ky) 5)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 3))) (+ (* 2/3 (/ 1 (pow (sin ky) 5))) (/ 1 (pow (sin ky) 7))))))) (sqrt (sin ky)))) (* 1/2 (* (sqrt (sin ky)) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 3))) (* 3/4 (/ 1 (pow (sin ky) 5)))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 th)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (*.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 5 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 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 7 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (sin.f64 th))) (sqrt.f64 (sin.f64 ky)))) (*.f64 kx kx) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 5 binary64)))))) (*.f64 kx kx) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (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) |
(* 1/2 (/ ky kx)) |
(*.f64 (/.f64 ky kx) #s(literal 1/2 binary64)) |
(/ (+ (* 1/12 (* (pow kx 2) ky)) (* 1/2 ky)) kx) |
(/.f64 (*.f64 ky (fma.f64 #s(literal 1/12 binary64) (*.f64 kx kx) #s(literal 1/2 binary64))) kx) |
(/ (+ (* 1/2 ky) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (+ (* -1/36 ky) (* 1/120 ky)))) (* 1/12 ky)))) kx) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 ky #s(literal 7/720 binary64)) kx) kx (*.f64 #s(literal 1/12 binary64) ky)) (*.f64 kx kx) (*.f64 #s(literal 1/2 binary64) ky)) kx) |
(/ (+ (* 1/2 ky) (* (pow kx 2) (+ (* 1/12 ky) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (+ (* -1/5040 ky) (+ (* 1/720 ky) (* 1/6 (+ (* -1/36 ky) (* 1/120 ky))))))) (* -1/2 (+ (* -1/36 ky) (* 1/120 ky)))))))) kx) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 ky #s(literal 1/840 binary64) (*.f64 ky #s(literal -7/2160 binary64)))) (*.f64 kx kx) (*.f64 ky #s(literal 7/720 binary64))) (*.f64 kx kx) (*.f64 #s(literal 1/12 binary64) ky)) (*.f64 kx kx) (*.f64 #s(literal 1/2 binary64) ky)) kx) |
(/ -1 (sin ky)) |
(/.f64 #s(literal -1 binary64) (sin.f64 ky)) |
(- (* 1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) kx) kx (/.f64 #s(literal -1 binary64) (sin.f64 ky))) |
(- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 kx kx) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) |
(- (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sin.f64 ky)))) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 kx kx) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) |
(* (* (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 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))))) (sin.f64 th)) |
(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)) |
(* (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
(sin kx) |
(sin.f64 kx) |
(* 1/2 (/ ky (sin kx))) |
(*.f64 (/.f64 ky (sin.f64 kx)) #s(literal 1/2 binary64)) |
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(neg.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)))))) |
(/ (* ky (sin th)) (sin kx)) |
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (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 (sin.f64 th) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 (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)))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (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))))) (fma.f64 (*.f64 (*.f64 #s(literal -1/12 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)))) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/5040 binary64)) (sin.f64 kx))))) (*.f64 ky ky) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th)) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))) |
(/ (sin th) (sin kx)) |
(/.f64 (sin.f64 th) (sin.f64 kx)) |
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx))) |
(fma.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th)) (sin.f64 kx)) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (sin.f64 th)) (sin.f64 kx)) (*.f64 (*.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) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 kx)) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 2/45 binary64)) (*.f64 ky (/.f64 ky (sin.f64 kx)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 kx))) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)) |
(/ ky (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 (*.f64 ky (*.f64 (neg.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))) (+ (* 1/2 (* (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)) (-.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 (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)) (-.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 (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) |
(* -1 (* ky (sin th))) |
(*.f64 (neg.f64 ky) (sin.f64 th)) |
(* ky (+ (* -1 (sin th)) (* 1/6 (* (pow ky 2) (sin th))))) |
(*.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64))) ky) |
(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* -1/120 (* (pow ky 2) (sin th))) (* 1/6 (sin th)))))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/120 binary64) (*.f64 ky ky) #s(literal 1/6 binary64))) (*.f64 (neg.f64 ky) (sin.f64 th))) |
(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* 1/6 (sin th)) (* (pow ky 2) (+ (* -1/120 (sin th)) (* 1/5040 (* (pow ky 2) (sin th))))))))) |
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal 1/5040 binary64) (*.f64 ky ky) #s(literal -1/120 binary64))) (*.f64 ky ky) (*.f64 #s(literal 1/6 binary64) (sin.f64 th))) (*.f64 (neg.f64 ky) (sin.f64 th))) |
(* -1 ky) |
(neg.f64 ky) |
(* ky (- (* 1/6 (pow ky 2)) 1)) |
(*.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)) ky) |
(* ky (- (* (pow ky 2) (+ 1/6 (* -1/120 (pow ky 2)))) 1)) |
(*.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) |
(* ky (- (* (pow ky 2) (+ 1/6 (* (pow ky 2) (- (* 1/5040 (pow ky 2)) 1/120)))) 1)) |
(*.f64 (fma.f64 (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)) (*.f64 ky ky) #s(literal -1 binary64)) ky) |
(sqrt ky) |
(sqrt.f64 ky) |
(+ (sqrt ky) (* -1/12 (sqrt (pow ky 5)))) |
(fma.f64 (sqrt.f64 (pow.f64 ky #s(literal 5 binary64))) #s(literal -1/12 binary64) (sqrt.f64 ky)) |
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* 1/240 (sqrt (pow ky 3)))))) |
(fma.f64 (fma.f64 (sqrt.f64 (pow.f64 ky #s(literal 3 binary64))) #s(literal 1/240 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) ky)) #s(literal -1/12 binary64))) (pow.f64 ky #s(literal 3 binary64)) (sqrt.f64 ky)) |
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* (pow ky 2) (+ (* -1/288 (sqrt (/ 1 ky))) (* 1/240 (sqrt (/ 1 ky)))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 ky ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) ky))) #s(literal 1/1440 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) ky)) #s(literal -1/12 binary64))) (pow.f64 ky #s(literal 3 binary64)) (sqrt.f64 ky)) |
(* (sqrt ky) (/ (sin th) (sin kx))) |
(*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) |
(+ (* -1/2 (* (sqrt (pow ky 5)) (* (sin kx) (* (sin th) (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))))))) (* (sqrt ky) (/ (sin th) (sin kx)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 ky #s(literal 5 binary64))) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (sin.f64 th)) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(+ (* (sqrt ky) (/ (sin th) (sin kx))) (* (pow ky 3) (+ (* -1/2 (* (sqrt (/ 1 ky)) (* (sin kx) (* (sin th) (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))))))) (* 1/2 (* (sqrt (pow ky 3)) (* (sin kx) (* (sin th) (- (+ (* 1/120 (/ 1 (pow (sin kx) 2))) (* 1/3 (/ 1 (pow (sin kx) 4)))) (* -1 (/ (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))) (pow (sin kx) 2))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) ky))) (*.f64 (sin.f64 kx) (sin.f64 th))) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 ky #s(literal 3 binary64)))) (*.f64 (sin.f64 kx) (sin.f64 th))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))) (pow.f64 ky #s(literal 3 binary64)) (*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(+ (* (sqrt ky) (/ (sin th) (sin kx))) (* (pow ky 3) (+ (* -1/2 (* (sqrt (/ 1 ky)) (* (sin kx) (* (sin th) (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))))))) (* (pow ky 2) (+ (* -1/8 (* (sqrt (/ 1 ky)) (* (pow (sin kx) 3) (* (sin th) (pow (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))) 2))))) (* 1/2 (* (sqrt (/ 1 ky)) (* (sin kx) (* (sin th) (- (+ (* 1/120 (/ 1 (pow (sin kx) 2))) (* 1/3 (/ 1 (pow (sin kx) 4)))) (* -1 (/ (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))) (pow (sin kx) 2))))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) ky))) (sin.f64 kx)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) ky))) (*.f64 (sin.f64 kx) (sin.f64 th))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) ky))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (sin.f64 th))) (pow.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 ky ky))) (pow.f64 ky #s(literal 3 binary64)) (*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) |
(/ -1 (sin kx)) |
(/.f64 #s(literal -1 binary64) (sin.f64 kx)) |
(- (* 1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) ky) ky (/.f64 #s(literal -1 binary64) (sin.f64 kx))) |
(- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) |
(- (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) ky) ky) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) |
(* -1 (* (sin ky) (sin th))) |
(*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) |
(* -1 (sin ky)) |
(neg.f64 (sin.f64 ky)) |
(sqrt (sin ky)) |
(sqrt.f64 (sin.f64 ky)) |
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(* 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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) th) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 th th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) th) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.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 (*.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) |
(* -1 (* th (sin ky))) |
(*.f64 (neg.f64 th) (sin.f64 ky)) |
(* th (+ (* -1 (sin ky)) (* 1/6 (* (pow th 2) (sin ky))))) |
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal 1/6 binary64) (*.f64 th th) #s(literal -1 binary64))) th) |
(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* -1/120 (* (pow th 2) (sin ky))) (* 1/6 (sin ky)))))) |
(fma.f64 (pow.f64 th #s(literal 3 binary64)) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/120 binary64) (*.f64 th th) #s(literal 1/6 binary64))) (*.f64 (neg.f64 th) (sin.f64 ky))) |
(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* 1/6 (sin ky)) (* (pow th 2) (+ (* -1/120 (sin ky)) (* 1/5040 (* (pow th 2) (sin ky))))))))) |
(fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal 1/5040 binary64) (*.f64 th th) #s(literal -1/120 binary64))) (*.f64 th th) (*.f64 #s(literal 1/6 binary64) (sin.f64 ky))) (*.f64 (neg.f64 th) (sin.f64 ky))) |
(* th (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) th) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 th th) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) th) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ (sin ky) (+ (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)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 th th) (*.f64 th th)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) th) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 188 |
| 0 | 58 | 160 |
| 1 | 201 | 160 |
| 2 | 1173 | 160 |
| 0 | 9650 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(sin.f64 th) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))) (sin.f64 th)) |
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))) |
(sin.f64 ky) |
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) |
(neg.f64 (sin.f64 ky)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) |
(sqrt.f64 (sin.f64 ky)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(sin.f64 kx) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) |
(/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 kx)) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.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 (sqrt.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 (*.f64 (neg.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 (neg.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) #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 (neg.f64 (sin.f64 th)) #s(literal -1 binary64)) (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.f64 (/.f64 (sqrt.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 (sqrt.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 (sqrt.f64 (sin.f64 kx)) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (/.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 kx)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.f64 (/.f64 #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 (neg.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 (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 (neg.f64 (sin.f64 kx)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 kx) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sin.f64 kx) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 kx)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 th)) (sqrt.f64 (sin.f64 kx))) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 kx)) (*.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 th))) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (neg.f64 (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 kx)) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (/.f64 (sin.f64 th) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.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 (neg.f64 (*.f64 (neg.f64 (sin.f64 kx)) (sin.f64 th))) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (/.f64 (sin.f64 kx) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (neg.f64 (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 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) (/.f64 (sin.f64 kx) (pow.f64 (sin.f64 th) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) (sin.f64 th))) |
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(*.f64 ky (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) |
(pow.f64 (/.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) ky)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) ky)) (sin.f64 kx)) |
(/.f64 (neg.f64 (*.f64 ky #s(literal -1/2 binary64))) (sin.f64 kx)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) ky))) (sin.f64 kx)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) ky) (neg.f64 (sin.f64 kx))) |
(/.f64 (*.f64 ky #s(literal -1/2 binary64)) (neg.f64 (sin.f64 kx))) |
(/.f64 (neg.f64 ky) (neg.f64 (*.f64 (sin.f64 kx) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) ky)) (neg.f64 (sin.f64 kx))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) ky) (sin.f64 kx)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 kx)) (*.f64 #s(literal -1/2 binary64) ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 kx)) (*.f64 ky #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) ky)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 kx) #s(literal 2 binary64)) ky)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) ky))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) ky)))) |
(/.f64 ky (*.f64 (sin.f64 kx) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64))) |
(pow.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) |
(/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 kx))) |
(neg.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 kx)))) #s(literal -1 binary64))) |
Compiled 22 363 to 2 545 computations (88.6% saved)
36 alts after pruning (34 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 841 | 19 | 860 |
| Fresh | 4 | 15 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 848 | 36 | 884 |
| Status | Accuracy | Program |
|---|---|---|
| 97.6% | (/.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))) | |
| 73.8% | (*.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 th)) | |
| 67.9% | (*.f64 (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)) (sin.f64 th)) | |
| ✓ | 99.7% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
| 16.7% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sin.f64 ky)) | |
| 33.3% | (*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sin.f64 ky)) | |
| 93.4% | (*.f64 (/.f64 (sin.f64 ky) (pow.f64 (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))) (sin.f64 th)) | |
| 80.1% | (*.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) (*.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)) | |
| 72.1% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| 43.4% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) | |
| 87.9% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| ▶ | 54.1% | (*.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)) |
| 30.6% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 #s(approx (* (/ 1/2 (sin kx)) ky) (*.f64 (/.f64 ky kx) #s(literal 1/2 binary64))) ky (sin.f64 kx)))) (sin.f64 th)) | |
| 32.1% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) | |
| 73.5% | (*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th)) | |
| 16.6% | (*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) | |
| 39.1% | (*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) | |
| 30.7% | (*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) | |
| 45.4% | (*.f64 (*.f64 #s(approx (neg (sin ky)) (*.f64 (fma.f64 (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)) (*.f64 ky ky) #s(literal -1 binary64)) ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| 45.3% | (*.f64 (*.f64 #s(approx (neg (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)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| 45.3% | (*.f64 (*.f64 #s(approx (neg (sin ky)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)) ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| 45.7% | (*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| 32.3% | (*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))))) | |
| 32.3% | (*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)))) | |
| 28.9% | (*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) | |
| ▶ | 99.5% | (*.f64 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
| 32.1% | (*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) | |
| 48.3% | (*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th)) (sin.f64 ky)) | |
| ▶ | 27.6% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
| 29.4% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) | |
| 48.9% | (*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| ✓ | 33.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
| 16.3% | #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))) | |
| ▶ | 16.4% | #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 1 524 to 1 156 computations (24.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 ky) | |
| cost-diff | 0 | (neg.f64 (sin.f64 ky)) | |
| cost-diff | 1 | (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) | |
| cost-diff | 2 | (*.f64 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) | |
| 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 | (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 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 | (sin.f64 th) | |
| cost-diff | 0 | (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 308 |
| 0 | 73 | 290 |
| 1 | 108 | 289 |
| 2 | 173 | 289 |
| 3 | 321 | 289 |
| 4 | 449 | 289 |
| 5 | 908 | 289 |
| 6 | 2118 | 289 |
| 7 | 3040 | 289 |
| 8 | 3599 | 289 |
| 9 | 3960 | 289 |
| 10 | 4185 | 289 |
| 11 | 4340 | 289 |
| 12 | 4634 | 289 |
| 13 | 4796 | 289 |
| 14 | 4852 | 289 |
| 15 | 4986 | 289 |
| 16 | 5282 | 289 |
| 17 | 5282 | 289 |
| 18 | 5350 | 289 |
| 19 | 5382 | 289 |
| 20 | 5382 | 289 |
| 21 | 5394 | 289 |
| 22 | 5423 | 289 |
| 23 | 5423 | 289 |
| 24 | 5423 | 289 |
| 25 | 5439 | 289 |
| 26 | 5439 | 289 |
| 0 | 5439 | 289 |
| 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)) #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 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
kx |
(/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(sin.f64 ky) |
ky |
#s(literal 2 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(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 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
(neg.f64 (sin.f64 ky)) |
(sin.f64 ky) |
ky |
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
(/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
#s(literal -1 binary64) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(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)) #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 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) kx) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) kx) #s(literal 1 binary64))) |
(fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) kx) #s(literal 1 binary64)) |
(*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(*.f64 (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) kx) |
kx |
(/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
(sin.f64 ky) |
ky |
#s(literal 2 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(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 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))) |
(neg.f64 (sin.f64 ky)) |
(sin.f64 ky) |
ky |
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
(/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
#s(literal -1 binary64) |
(hypot.f64 (sin.f64 ky) (sin.f64 kx)) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin.f64 kx) |
kx |
(sin.f64 th) |
th |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03125 | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) | |
| accuracy | 0.23046875 | (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| accuracy | 0.240566259768442 | (*.f64 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) | |
| accuracy | 0.30697250976844204 | (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) | |
| accuracy | 0.178066259768442 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) | |
| accuracy | 0.240566259768442 | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) | |
| accuracy | 3.708351803835732 | (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) | |
| accuracy | 30.139608153018166 | #s(approx (pow (sin kx) 2) (*.f64 kx kx)) | |
| accuracy | 0.240566259768442 | (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) | |
| accuracy | 1.0455640120596472 | (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) | |
| accuracy | 4.420654898469381 | (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) | |
| accuracy | 45.039743161990046 | #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (pow.f64 th #s(literal 3 binary64)) | |
| accuracy | 0.0625 | (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th) | |
| accuracy | 31.481949616104092 | #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th)) | |
| accuracy | 42.69612648556516 | #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 | 0.0 | (sin.f64 kx) | |
| accuracy | 0.03125 | (hypot.f64 (sin.f64 ky) (sin.f64 kx)) | |
| accuracy | 0.140625 | (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) | |
| accuracy | 0.174160009768442 | (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) |
| 122.0ms | 256× | 0 | valid |
Compiled 608 to 80 computations (86.8% saved)
ival-hypot: 31.0ms (34.9% of total)ival-sin: 21.0ms (23.6% of total)ival-mult: 10.0ms (11.3% of total)ival-div: 8.0ms (9% of total)ival-pow2: 5.0ms (5.6% of total)ival-add: 4.0ms (4.5% of total)const: 4.0ms (4.5% of total)ival-pow: 3.0ms (3.4% of total)ival-sqrt: 2.0ms (2.3% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 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)) #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 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 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)) |
(/.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 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
(neg.f64 (sin.f64 ky)) |
(sin.f64 kx) |
(/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
(/.f64 #s(literal -1 binary64) (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)))))) |
(/ (pow kx 2) (pow (sin ky) 2)) |
(* -1 (/ (sin th) (sin ky))) |
(+ (* -1 (/ (sin th) (sin ky))) (* 1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3)))) |
(+ (* -1 (/ (sin th) (sin ky))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ (sin th) (pow (sin ky) 3)))))) |
(+ (* -1 (/ (sin th) (sin ky))) (* (pow kx 2) (+ (* 1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))))))) |
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)))) |
(/ kx (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)))) |
(/ -1 (sin ky)) |
(- (* 1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky))) |
(- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(- (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(* (* (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))))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2))))) |
(* -1 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(sin kx) |
(pow (sin kx) 2) |
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(/ (sin 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)))) |
(* -1/2 (/ (pow kx 2) (pow ky 2))) |
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2)) |
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2)) |
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))) (pow ky 2)) |
(/ (pow kx 2) (pow ky 2)) |
(/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2)) |
(/ (+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2)) |
(/ (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2)) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(* -1 (/ (sin th) (sin kx))) |
(+ (* -1 (/ (sin th) (sin kx))) (* 1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))) |
(+ (* -1 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ (sin th) (pow (sin kx) 3)))))) |
(+ (* -1 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))))))) |
(* -1 ky) |
(* ky (- (* 1/6 (pow ky 2)) 1)) |
(* ky (- (* (pow ky 2) (+ 1/6 (* -1/120 (pow ky 2)))) 1)) |
(* ky (- (* (pow ky 2) (+ 1/6 (* (pow ky 2) (- (* 1/5040 (pow ky 2)) 1/120)))) 1)) |
(/ kx (pow ky 2)) |
(/ (+ kx (* 1/3 (* kx (pow ky 2)))) (pow ky 2)) |
(/ (+ kx (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 kx) (* 2/45 kx)))) (* -1/3 kx)))) (pow ky 2)) |
(/ (+ kx (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 kx) (+ (* 2/135 kx) (* 1/3 (+ (* -1/9 kx) (* 2/45 kx))))))) (+ (* -1/9 kx) (* 2/45 kx)))) (* -1/3 kx)))) (pow ky 2)) |
(pow ky 2) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(/ -1 (sin kx)) |
(- (* 1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx))) |
(- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(- (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(* -1 (sin ky)) |
(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)))) |
(pow th 3) |
(* -1 (* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(* th (+ (* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* th (+ (* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
(* th (+ (* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(* -1/6 (pow th 3)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | kx | @ | 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 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)))) (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (* kx (/ kx (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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (neg (sin ky)) (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th))) (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (neg (sin ky)) (sin kx) (/ kx (pow (sin ky) 2)) (pow (sin ky) 2) (pow (sin kx) 2) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 6.0ms | 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 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)))) (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (* kx (/ kx (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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (neg (sin ky)) (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th))) (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (neg (sin ky)) (sin kx) (/ kx (pow (sin ky) 2)) (pow (sin ky) 2) (pow (sin kx) 2) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 5.0ms | kx | @ | inf | ((/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin 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)))) (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (* kx (/ kx (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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (neg (sin ky)) (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th))) (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (neg (sin ky)) (sin kx) (/ kx (pow (sin ky) 2)) (pow (sin ky) 2) (pow (sin kx) 2) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 5.0ms | ky | @ | -inf | ((/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin 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)))) (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (* kx (/ kx (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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (neg (sin ky)) (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th))) (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (neg (sin ky)) (sin kx) (/ kx (pow (sin ky) 2)) (pow (sin ky) 2) (pow (sin kx) 2) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 5.0ms | ky | @ | inf | ((/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin 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)))) (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (* kx (/ kx (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) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (neg (sin ky)) (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th))) (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (neg (sin ky)) (sin kx) (/ kx (pow (sin ky) 2)) (pow (sin ky) 2) (pow (sin kx) 2) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 607 | 3039 |
| 1 | 1941 | 2903 |
| 2 | 7521 | 2865 |
| 0 | 8110 | 2681 |
| 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)))))) |
(/ (pow kx 2) (pow (sin ky) 2)) |
(* -1 (/ (sin th) (sin ky))) |
(+ (* -1 (/ (sin th) (sin ky))) (* 1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3)))) |
(+ (* -1 (/ (sin th) (sin ky))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ (sin th) (pow (sin ky) 3)))))) |
(+ (* -1 (/ (sin th) (sin ky))) (* (pow kx 2) (+ (* 1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))))))) |
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)))) |
(/ kx (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)))) |
(/ -1 (sin ky)) |
(- (* 1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky))) |
(- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(- (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(* (* (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))))) |
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2))))) |
(* -1 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(sin kx) |
(pow (sin kx) 2) |
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (* ky (sin th)) (sin kx)) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx)))) |
(/ (sin 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)))) |
(* -1/2 (/ (pow kx 2) (pow ky 2))) |
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2)) |
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2)) |
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))) (pow ky 2)) |
(/ (pow kx 2) (pow ky 2)) |
(/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2)) |
(/ (+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2)) |
(/ (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2)) |
ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6)))) |
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6)))) |
(* -1 (/ (sin th) (sin kx))) |
(+ (* -1 (/ (sin th) (sin kx))) (* 1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))) |
(+ (* -1 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ (sin th) (pow (sin kx) 3)))))) |
(+ (* -1 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))))))) |
(* -1 ky) |
(* ky (- (* 1/6 (pow ky 2)) 1)) |
(* ky (- (* (pow ky 2) (+ 1/6 (* -1/120 (pow ky 2)))) 1)) |
(* ky (- (* (pow ky 2) (+ 1/6 (* (pow ky 2) (- (* 1/5040 (pow ky 2)) 1/120)))) 1)) |
(/ kx (pow ky 2)) |
(/ (+ kx (* 1/3 (* kx (pow ky 2)))) (pow ky 2)) |
(/ (+ kx (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 kx) (* 2/45 kx)))) (* -1/3 kx)))) (pow ky 2)) |
(/ (+ kx (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 kx) (+ (* 2/135 kx) (* 1/3 (+ (* -1/9 kx) (* 2/45 kx))))))) (+ (* -1/9 kx) (* 2/45 kx)))) (* -1/3 kx)))) (pow ky 2)) |
(pow ky 2) |
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) |
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3)))) |
(/ -1 (sin kx)) |
(- (* 1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx))) |
(- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(- (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(* -1 (sin ky)) |
(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)))) |
(pow th 3) |
(* -1 (* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(* th (+ (* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* th (+ (* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
(* th (+ (* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(* -1/6 (pow th 3)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
| Outputs |
|---|
(sin th) |
(sin.f64 th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
(fma.f64 (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (sin.f64 th)) |
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (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 (*.f64 kx kx) #s(literal -1/2 binary64)) (*.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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 2/45 binary64)) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))) |
(sin ky) |
(sin.f64 ky) |
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)) |
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 ky)) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (sin.f64 ky)) |
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky)))))) |
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 2/45 binary64)) (*.f64 kx (/.f64 kx (sin.f64 ky)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 ky))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky))) |
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(fma.f64 (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) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (*.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)) |
(/ (pow kx 2) (pow (sin ky) 2)) |
(*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(* -1 (/ (sin th) (sin ky))) |
(/.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) |
(+ (* -1 (/ (sin th) (sin ky))) (* 1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3)))) |
(fma.f64 (*.f64 (*.f64 kx kx) #s(literal 1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (/.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky))) |
(+ (* -1 (/ (sin th) (sin ky))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ (sin th) (pow (sin ky) 3)))))) |
(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)) (sin.f64 ky)) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 kx kx) (/.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky))) |
(+ (* -1 (/ (sin th) (sin ky))) (* (pow kx 2) (+ (* 1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sin.f64 th)) (sin.f64 ky)))) (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 kx kx) (/.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky))) |
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) |
(/ kx (pow (sin ky) 2)) |
(/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 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)) |
(/ -1 (sin ky)) |
(/.f64 #s(literal -1 binary64) (sin.f64 ky)) |
(- (* 1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) kx) kx (/.f64 #s(literal -1 binary64) (sin.f64 ky))) |
(- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
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(- (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (/ 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))))) |
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(* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) |
(*.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2))))) |
(fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(* -1 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
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(sin kx) |
(sin.f64 kx) |
(pow (sin kx) 2) |
(pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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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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(/ (sin kx) ky) |
(/.f64 (sin.f64 kx) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) ky) ky (sin.f64 kx)) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sin.f64 kx)) #s(literal -1/2 binary64) (fma.f64 #s(literal 7/360 binary64) (sin.f64 kx) (/.f64 #s(literal 1/12 binary64) (sin.f64 kx)))) (*.f64 ky ky) (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))) (*.f64 ky ky) (sin.f64 kx)) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sin.f64 kx)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sin.f64 kx)) #s(literal -1/12 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 2/45 binary64)) (sin.f64 kx)) #s(literal 1/2 binary64) (fma.f64 #s(literal 31/15120 binary64) (sin.f64 kx) (/.f64 #s(literal 7/720 binary64) (sin.f64 kx))))) (*.f64 ky ky) (fma.f64 #s(literal 7/360 binary64) (sin.f64 kx) (/.f64 #s(literal 1/12 binary64) (sin.f64 kx))))) (*.f64 ky ky) (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))) (*.f64 ky ky) (sin.f64 kx)) ky) |
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 kx)) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)) |
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
(fma.f64 (pow.f64 ky #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 2/45 binary64)) (sin.f64 kx)) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 kx))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))) |
(/ ky (sin kx)) |
(/.f64 ky (sin.f64 kx)) |
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
(fma.f64 (*.f64 ky (*.f64 (neg.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))) (+ (* 1/2 (* (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)))) |
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(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx)))) |
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(* -1/2 (/ (pow kx 2) (pow ky 2))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)) |
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2)) |
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(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2)) |
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(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))) (pow ky 2)) |
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(/ (pow kx 2) (pow ky 2)) |
(*.f64 (/.f64 kx ky) (/.f64 kx ky)) |
(/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (*.f64 kx kx)) (*.f64 ky ky)) |
(/ (+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky)) |
(/ (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky)) |
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) |
(* -1 (/ (sin th) (sin kx))) |
(/.f64 (neg.f64 (sin.f64 th)) (sin.f64 kx)) |
(+ (* -1 (/ (sin th) (sin kx))) (* 1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))) |
(fma.f64 (*.f64 (*.f64 ky ky) #s(literal 1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (neg.f64 (sin.f64 th)) (sin.f64 kx))) |
(+ (* -1 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ (sin th) (pow (sin kx) 3)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th)) (sin.f64 kx)) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (neg.f64 (sin.f64 th)) (sin.f64 kx))) |
(+ (* -1 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (sin.f64 th)) (sin.f64 kx)) (*.f64 (*.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) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (neg.f64 (sin.f64 th)) (sin.f64 kx))) |
(* -1 ky) |
(neg.f64 ky) |
(* ky (- (* 1/6 (pow ky 2)) 1)) |
(*.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)) ky) |
(* ky (- (* (pow ky 2) (+ 1/6 (* -1/120 (pow ky 2)))) 1)) |
(*.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) |
(* ky (- (* (pow ky 2) (+ 1/6 (* (pow ky 2) (- (* 1/5040 (pow ky 2)) 1/120)))) 1)) |
(*.f64 (fma.f64 (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)) (*.f64 ky ky) #s(literal -1 binary64)) ky) |
(/ kx (pow ky 2)) |
(/.f64 kx (*.f64 ky ky)) |
(/ (+ kx (* 1/3 (* kx (pow ky 2)))) (pow ky 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 ky ky) kx) #s(literal 1/3 binary64) kx) ky) ky) |
(/ (+ kx (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 kx) (* 2/45 kx)))) (* -1/3 kx)))) (pow ky 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 kx #s(literal 1/15 binary64)) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)) |
(/ (+ kx (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 kx) (+ (* 2/135 kx) (* 1/3 (+ (* -1/9 kx) (* 2/45 kx))))))) (+ (* -1/9 kx) (* 2/45 kx)))) (* -1/3 kx)))) (pow ky 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (*.f64 kx #s(literal -1/45 binary64))) (*.f64 kx #s(literal 1/15 binary64))) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky 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)) |
(/ -1 (sin kx)) |
(/.f64 #s(literal -1 binary64) (sin.f64 kx)) |
(- (* 1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) ky) ky (/.f64 #s(literal -1 binary64) (sin.f64 kx))) |
(- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) |
(- (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (sin.f64 kx)) (*.f64 (*.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 ky ky) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) |
(* -1 (sin ky)) |
(neg.f64 (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 (*.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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th) (sin.f64 ky) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (sin.f64 ky) th) th) (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)))) (pow.f64 th #s(literal 3 binary64)))) |
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 ky) th) th) (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))))) (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 (* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) |
(*.f64 (neg.f64 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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(*.f64 (*.f64 (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 th th) #s(literal -1 binary64))) th) |
(* th (+ (* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/120 binary64) (*.f64 th th) #s(literal 1/6 binary64))) (pow.f64 th #s(literal 3 binary64)) (*.f64 (neg.f64 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 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/5040 (* (pow th 2) (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 th th) #s(literal -1 binary64)) (*.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))))) (fma.f64 #s(literal 1/5040 binary64) (*.f64 th th) #s(literal -1/120 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))) |
(* -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 | 44 | 249 |
| 0 | 73 | 231 |
| 1 | 249 | 230 |
| 2 | 1517 | 222 |
| 0 | 8154 | 222 |
| 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)) #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 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 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)) |
(/.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 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) |
(neg.f64 (sin.f64 ky)) |
(sin.f64 kx) |
(/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 ky) #s(literal 2 binary64)) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
(/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) |
| Outputs |
|---|
(*.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 #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 (neg.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 (neg.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)))) |
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(sin.f64 th) |
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(neg.f64 (sin.f64 ky)) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 ky) (sin.f64 ky) (*.f64 #s(literal 0 binary64) (sin.f64 ky))))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 ky) (sin.f64 ky) (*.f64 #s(literal 0 binary64) (sin.f64 ky)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (sin.f64 ky))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (sin.f64 ky)))) |
(-.f64 #s(literal 0 binary64) (sin.f64 ky)) |
(+.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 ky))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx))) |
(pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sin.f64 kx) #s(literal 1 binary64)) |
(sin.f64 kx) |
(exp.f64 (log.f64 (sin.f64 kx))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (/.f64 kx (neg.f64 (sin.f64 ky)))) |
(*.f64 (/.f64 kx (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) (pow.f64 (pow.f64 kx #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) kx) |
(*.f64 (/.f64 kx (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 ky) kx) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) (/.f64 kx (sin.f64 ky))) |
(*.f64 (neg.f64 kx) (pow.f64 (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64))) |
(pow.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 kx #s(literal 1 binary64))) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 kx (sin.f64 ky))) (neg.f64 (sin.f64 ky))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 kx))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 kx #s(literal 1 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(/.f64 (/.f64 kx (sin.f64 ky)) (sin.f64 ky)) |
(/.f64 (neg.f64 (neg.f64 kx)) (neg.f64 (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 kx) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (/.f64 kx (sin.f64 ky)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx)) |
(/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (neg.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 kx (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 kx (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64)) |
(*.f64 (sin.f64 ky) (sin.f64 ky)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 ky))) |
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal -1 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 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (cos.f64 ky)) (cos.f64 ky)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 ky)) (cos.f64 ky)) (*.f64 (neg.f64 (cos.f64 ky)) (cos.f64 ky))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 ky)) (cos.f64 ky)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 (cos.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 ky) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (cos.f64 ky) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 6 binary64)))) (neg.f64 (+.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 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #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 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 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 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 ky) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 ky) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 1 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 (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 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 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 ky) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))))) (/.f64 (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 #s(literal 1/2 binary64) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 ky)) (cos.f64 ky))) |
#s(approx (pow (sin kx) 2) (*.f64 kx kx)) |
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(pow.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(neg.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1 binary64))) |
Compiled 23 958 to 3 294 computations (86.3% saved)
59 alts after pruning (56 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 765 | 33 | 798 |
| Fresh | 6 | 23 | 29 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 775 | 59 | 834 |
| Status | Accuracy | Program |
|---|---|---|
| 97.6% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| 77.8% | (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (sin.f64 ky))) | |
| 80.1% | (/.f64 (sin.f64 th) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 ky))) | |
| 73.6% | (/.f64 (sin.f64 th) (*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 ky))))) | |
| ▶ | 99.6% | (/.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
| 29.4% | (/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) | |
| 97.1% | (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (neg.f64 (sin.f64 th)) (neg.f64 (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))) | |
| ✓ | 99.7% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
| 16.7% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sin.f64 ky)) | |
| 33.3% | (*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sin.f64 ky)) | |
| 93.4% | (*.f64 (/.f64 (sin.f64 ky) (pow.f64 (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))) (sin.f64 th)) | |
| 80.1% | (*.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) (*.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)) | |
| 43.4% | (*.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)) | |
| ✓ | 54.1% | (*.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)) |
| 46.5% | (*.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) ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)) | |
| 24.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) | |
| 30.6% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 #s(approx (* (/ 1/2 (sin kx)) ky) (*.f64 (/.f64 ky kx) #s(literal 1/2 binary64))) ky (sin.f64 kx)))) (sin.f64 th)) | |
| 32.1% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) | |
| 16.6% | (*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) | |
| 39.1% | (*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) | |
| ▶ | 30.7% | (*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
| 45.4% | (*.f64 (*.f64 #s(approx (neg (sin ky)) (*.f64 (fma.f64 (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)) (*.f64 ky ky) #s(literal -1 binary64)) ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| 45.3% | (*.f64 (*.f64 #s(approx (neg (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)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| 45.3% | (*.f64 (*.f64 #s(approx (neg (sin ky)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)) ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| 45.7% | (*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| ▶ | 32.3% | (*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))))) |
| 32.3% | (*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)))) | |
| 28.9% | (*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) | |
| 77.7% | (*.f64 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64)))) (sin.f64 th))) | |
| 80.0% | (*.f64 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th))) | |
| 32.0% | (*.f64 (neg.f64 (sin.f64 ky)) (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th))) | |
| 32.1% | (*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) | |
| 19.7% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (*.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal -1 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 19.8% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 29.3% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (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))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 28.7% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 11.1% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (*.f64 kx #s(literal -1/45 binary64))) (*.f64 kx #s(literal 1/15 binary64))) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 12.4% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 kx #s(literal 1/15 binary64)) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| ▶ | 12.4% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
| 13.5% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 31.1% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 29.4% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) | |
| 3.2% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th)) | |
| 48.9% | (*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| 47.7% | (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) | |
| ✓ | 33.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
| 16.4% | #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))) | |
| 16.4% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 th)) #s(literal -1/6 binary64) th))) | |
| 16.3% | #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))) | |
| 16.4% | #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))) | |
| 16.4% | #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))) | |
| 16.4% | #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))) | |
| ▶ | 16.4% | #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))) |
| 16.4% | #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))) | |
| 16.4% | #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 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) 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 #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))))) | |
| 10.4% | #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))))) | |
| 8.1% | #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)))))) |
Compiled 3 156 to 2 258 computations (28.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) | |
| cost-diff | 0 | (sin.f64 ky) | |
| cost-diff | 0 | (sqrt.f64 (sin.f64 ky)) | |
| cost-diff | 5 | (*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))))) | |
| cost-diff | 0 | (sin.f64 ky) | |
| cost-diff | 0 | (neg.f64 (sin.f64 ky)) | |
| cost-diff | 0 | (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| cost-diff | 4 | (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) | |
| cost-diff | 5 | (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) | |
| cost-diff | 5 | (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) | |
| cost-diff | 0 | #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th)) | |
| cost-diff | 0 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th) | |
| cost-diff | 0 | (sin.f64 th) | |
| cost-diff | 0 | (/.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) | |
| cost-diff | 1 | (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) | |
| cost-diff | 3 | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 699 |
| 0 | 115 | 592 |
| 1 | 203 | 582 |
| 2 | 408 | 539 |
| 3 | 1188 | 539 |
| 4 | 3025 | 518 |
| 5 | 7009 | 518 |
| 0 | 8067 | 499 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
(sin.f64 th) |
th |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (sin.f64 ky)) |
#s(literal -1 binary64) |
(sin.f64 ky) |
ky |
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin.f64 kx) |
kx |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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 |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) |
(*.f64 #s(literal 1/3 binary64) kx) |
#s(literal 1/3 binary64) |
kx |
(*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky)) |
(fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) |
(*.f64 (neg.f64 ky) ky) |
(neg.f64 ky) |
ky |
(fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) |
(*.f64 kx kx) |
#s(literal 11/945 binary64) |
(*.f64 (*.f64 kx kx) #s(literal -1/45 binary64)) |
#s(literal -1/45 binary64) |
(*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) |
#s(literal 1/15 binary64) |
(*.f64 ky ky) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 th) |
th |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) |
(neg.f64 (sin.f64 ky)) |
(sin.f64 ky) |
ky |
(sin.f64 th) |
th |
#s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) |
(/.f64 #s(literal -1 binary64) (sin.f64 kx)) |
#s(literal -1 binary64) |
(sin.f64 kx) |
kx |
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))))) |
(sqrt.f64 (sin.f64 ky)) |
(sin.f64 ky) |
ky |
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) |
(/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(sin.f64 th) |
th |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) |
| Outputs |
|---|
(/.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) |
(sin.f64 th) |
th |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) |
(/.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 |
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) |
(neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(hypot.f64 (sin.f64 kx) (sin.f64 ky)) |
(sin.f64 kx) |
kx |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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 |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal -1/2 binary64) #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 2/189 binary64) (*.f64 ky ky) #s(literal 1/15 binary64)) #s(literal 1/3 binary64))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal -1/2 binary64) #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 2/189 binary64) (*.f64 ky ky) #s(literal 1/15 binary64)) #s(literal 1/3 binary64))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal 1 binary64))) |
(fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 2/189 binary64) (*.f64 ky ky) #s(literal 1/15 binary64)) #s(literal 1/3 binary64))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal 1 binary64)) |
#s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) |
#s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 2/189 binary64) (*.f64 ky ky) #s(literal 1/15 binary64)) #s(literal 1/3 binary64))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky)) |
(/.f64 (fma.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 2/189 binary64) (*.f64 ky ky) #s(literal 1/15 binary64)) #s(literal 1/3 binary64))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) |
(fma.f64 (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 2/189 binary64) (*.f64 ky ky) #s(literal 1/15 binary64)) #s(literal 1/3 binary64))) (*.f64 ky ky) (*.f64 kx kx)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) |
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 2/189 binary64) (*.f64 ky ky) #s(literal 1/15 binary64)) #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) kx) |
#s(literal 1/3 binary64) |
kx |
(*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky)) |
(*.f64 (*.f64 ky ky) (*.f64 (fma.f64 #s(literal 2/189 binary64) (*.f64 ky ky) #s(literal 1/15 binary64)) (*.f64 kx kx))) |
(fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) |
(*.f64 (fma.f64 #s(literal 2/189 binary64) (*.f64 ky ky) #s(literal 1/15 binary64)) (*.f64 kx kx)) |
(*.f64 (neg.f64 ky) ky) |
(neg.f64 ky) |
ky |
(fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) |
(*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) |
(*.f64 kx kx) |
#s(literal 11/945 binary64) |
(*.f64 (*.f64 kx kx) #s(literal -1/45 binary64)) |
(*.f64 #s(literal -1/45 binary64) (*.f64 kx kx)) |
#s(literal -1/45 binary64) |
(*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) |
(*.f64 #s(literal 1/15 binary64) (*.f64 kx kx)) |
#s(literal 1/15 binary64) |
(*.f64 ky ky) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 th) |
th |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 ky)) (neg.f64 (sin.f64 th))) |
(*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) |
(neg.f64 (sin.f64 ky)) |
(sin.f64 ky) |
ky |
(sin.f64 th) |
th |
#s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) |
(/.f64 #s(literal -1 binary64) (sin.f64 kx)) |
#s(literal -1 binary64) |
(sin.f64 kx) |
kx |
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))))) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sin.f64 ky)) |
(sqrt.f64 (sin.f64 ky)) |
(sin.f64 ky) |
ky |
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sqrt.f64 (sin.f64 ky))) |
(/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(sin.f64 th) |
th |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.170253759768442 | (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) | |
| accuracy | 0.21484375 | (*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))))) | |
| accuracy | 0.221035009768442 | (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) | |
| accuracy | 26.75768843728173 | #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) | |
| accuracy | 0.08203125 | (/.f64 #s(literal -1 binary64) (sin.f64 kx)) | |
| accuracy | 0.1484375 | (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) | |
| accuracy | 1.5548060287591576 | (*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) | |
| accuracy | 30.492412803236395 | #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) | |
| accuracy | 11.941015532861897 | (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) | |
| accuracy | 14.181216656040924 | #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) | |
| accuracy | 15.30230703609732 | (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky)) | |
| accuracy | 28.976509865390383 | #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.046875 | (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 | 23.902116297133222 | #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th)) | |
| accuracy | 26.657495356642368 | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) | |
| accuracy | 0.0 | (sin.f64 kx) | |
| accuracy | 0.08984375 | (/.f64 #s(literal -1 binary64) (sin.f64 ky)) | |
| accuracy | 0.139003759768442 | (/.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) | |
| accuracy | 0.23828125 | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) |
| 124.0ms | 190× | 0 | valid |
| 51.0ms | 66× | 0 | invalid |
Compiled 1 215 to 131 computations (89.2% saved)
const: 33.0ms (22.2% of total)ival-mult: 32.0ms (21.5% of total)ival-sin: 27.0ms (18.1% of total)ival-hypot: 24.0ms (16.1% of total)ival-div: 14.0ms (9.4% of total)ival-add: 7.0ms (4.7% of total)ival-pow2: 4.0ms (2.7% of total)ival-sqrt: 3.0ms (2% of total)ival-neg: 2.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) |
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) |
(/.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
(sin.f64 th) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#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)) |
(fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) |
(fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) |
(neg.f64 (sin.f64 ky)) |
(sin.f64 ky) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))))) |
(sqrt.f64 (sin.f64 ky)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) |
(/.f64 #s(literal -1 binary64) (sin.f64 ky)) |
(sin.f64 kx) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky)) |
#s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) |
#s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) |
(/.f64 #s(literal -1 binary64) (sin.f64 kx)) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
| Outputs |
|---|
1 |
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(* -1 (sin ky)) |
(+ (* -1 (sin ky)) (* -1/2 (/ (pow kx 2) (sin ky)))) |
(+ (* -1 (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)))))) |
(+ (* -1 (sin ky)) (* (pow kx 2) (- (* (pow kx 2) (+ (* -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 (/ (+ 1/3 (* 1/4 (/ 1 (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)))))))))))) |
(* (pow kx 2) (+ 1/15 (* 2/189 (pow ky 2)))) |
(* -2/189 (pow kx 2)) |
(* (pow kx 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))) |
(* (sqrt (/ 1 (sin ky))) (sin th)) |
(+ (* -1/2 (* (* (pow kx 2) (sin th)) (sqrt (/ 1 (pow (sin ky) 5))))) (* (sqrt (/ 1 (sin ky))) (sin th))) |
(+ (* (sqrt (/ 1 (sin ky))) (sin th)) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th))) (* 1/2 (* (* (pow kx 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 3))) (* 3/4 (/ 1 (pow (sin ky) 5)))))) (sqrt (sin ky))))))) |
(+ (* (sqrt (/ 1 (sin ky))) (sin th)) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 3))) (* 3/4 (/ 1 (pow (sin ky) 5)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 3))) (+ (* 2/3 (/ 1 (pow (sin ky) 5))) (/ 1 (pow (sin ky) 7))))))) (sqrt (sin ky)))) (* 1/2 (* (sqrt (sin ky)) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 3))) (* 3/4 (/ 1 (pow (sin ky) 5)))))))))))) |
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)))) |
(+ 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) (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))))) (pow ky 2)) |
(/ (pow kx 2) (pow (sin ky) 2)) |
(/ -1 (sin ky)) |
(- (* 1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky))) |
(- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(- (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(/ -1 kx) |
(/ (- (* -1/6 (pow kx 2)) 1) kx) |
(/ (- (* (pow kx 2) (- (* -7/360 (pow kx 2)) 1/6)) 1) kx) |
(/ (- (* (pow kx 2) (- (* (pow kx 2) (- (* -31/15120 (pow kx 2)) 7/360)) 1/6)) 1) kx) |
(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 ky)) |
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* -1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
(sin kx) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ -1 (sin kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (sin kx) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky) |
(* -1 (sin kx)) |
(+ (* -1 (sin kx)) (* -1/2 (/ (pow ky 2) (sin kx)))) |
(+ (* -1 (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)))))) |
(+ (* -1 (sin kx)) (* (pow ky 2) (- (* (pow ky 2) (+ (* -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 (/ (+ 1/3 (* 1/4 (/ 1 (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)))) |
(* 1/15 (pow kx 2)) |
(+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2))) |
(* 1/3 (pow kx 2)) |
(+ (* 1/15 (* (pow kx 2) (pow ky 2))) (* 1/3 (pow kx 2))) |
(+ (* 1/3 (pow kx 2)) (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2))))) |
(* -1 (* ky (sin th))) |
(* ky (+ (* -1 (sin th)) (* 1/6 (* (pow ky 2) (sin th))))) |
(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* -1/120 (* (pow ky 2) (sin th))) (* 1/6 (sin th)))))) |
(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* 1/6 (sin th)) (* (pow ky 2) (+ (* -1/120 (sin th)) (* 1/5040 (* (pow ky 2) (sin th))))))))) |
(* -1 ky) |
(* ky (- (* 1/6 (pow ky 2)) 1)) |
(* ky (- (* (pow ky 2) (+ 1/6 (* -1/120 (pow ky 2)))) 1)) |
(* ky (- (* (pow ky 2) (+ 1/6 (* (pow ky 2) (- (* 1/5040 (pow ky 2)) 1/120)))) 1)) |
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)))) |
(sqrt ky) |
(+ (sqrt ky) (* -1/12 (sqrt (pow ky 5)))) |
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* 1/240 (sqrt (pow ky 3)))))) |
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* (pow ky 2) (+ (* -1/288 (sqrt (/ 1 ky))) (* 1/240 (sqrt (/ 1 ky)))))))) |
(* (sqrt ky) (/ (sin th) (sin kx))) |
(+ (* -1/2 (* (sqrt (pow ky 5)) (* (sin kx) (* (sin th) (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))))))) (* (sqrt ky) (/ (sin th) (sin kx)))) |
(+ (* (sqrt ky) (/ (sin th) (sin kx))) (* (pow ky 3) (+ (* -1/2 (* (sqrt (/ 1 ky)) (* (sin kx) (* (sin th) (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))))))) (* 1/2 (* (sqrt (pow ky 3)) (* (sin kx) (* (sin th) (- (+ (* 1/120 (/ 1 (pow (sin kx) 2))) (* 1/3 (/ 1 (pow (sin kx) 4)))) (* -1 (/ (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))) (pow (sin kx) 2))))))))))) |
(+ (* (sqrt ky) (/ (sin th) (sin kx))) (* (pow ky 3) (+ (* -1/2 (* (sqrt (/ 1 ky)) (* (sin kx) (* (sin th) (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))))))) (* (pow ky 2) (+ (* -1/8 (* (sqrt (/ 1 ky)) (* (pow (sin kx) 3) (* (sin th) (pow (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))) 2))))) (* 1/2 (* (sqrt (/ 1 ky)) (* (sin kx) (* (sin th) (- (+ (* 1/120 (/ 1 (pow (sin kx) 2))) (* 1/3 (/ 1 (pow (sin kx) 4)))) (* -1 (/ (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))) (pow (sin kx) 2))))))))))))) |
(/ -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 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)))) |
(/ (pow kx 2) (pow ky 2)) |
(/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2)) |
(/ (+ (* (pow ky 2) (+ (* 1/15 (* (pow kx 2) (pow ky 2))) (* 1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2)) |
(/ (+ (* (pow ky 2) (+ (* 1/3 (pow kx 2)) (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2)))))) (pow kx 2)) (pow ky 2)) |
(/ (+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2)) |
(/ (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2)) |
(- (* 1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx))) |
(- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(- (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (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)))))) |
(/ (sin th) (sin kx)) |
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx))) |
(* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) |
(* (pow ky 2) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (* 1/15 (/ (pow kx 2) (pow ky 2))))) |
(* -1 (* (pow ky 4) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) |
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (* 1/15 (/ (pow kx 2) (pow ky 2))))) |
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (+ (* 1/15 (/ (pow kx 2) (pow ky 2))) (* 1/3 (/ (pow kx 2) (pow ky 4)))))) |
(* -1 (* (sin ky) (sin th))) |
(sqrt (sin ky)) |
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (+ (* 1/15 (/ (pow kx 2) (pow ky 2))) (+ (* 1/3 (/ (pow kx 2) (pow ky 4))) (/ (pow kx 2) (pow ky 6)))))) |
(* (* 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)) |
(* -1 (* th (sin ky))) |
(* th (+ (* -1 (sin ky)) (* 1/6 (* (pow th 2) (sin ky))))) |
(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* -1/120 (* (pow th 2) (sin ky))) (* 1/6 (sin ky)))))) |
(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* 1/6 (sin ky)) (* (pow th 2) (+ (* -1/120 (sin ky)) (* 1/5040 (* (pow th 2) (sin ky))))))))) |
(* th (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))) |
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))) |
(* -1/6 (pow th 3)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 135.0ms | th | @ | inf | ((* (/ -1 (sin ky)) (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1)) (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (/ (sin th) (* (/ -1 (sin ky)) (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1))) (sin th) (+ (* (* -1/6 (* th th)) th) th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* -1/6 (* th th)) (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45)) (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (neg (sin ky)) (sin th)) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (* (neg (sin ky)) (sin th)) (neg (sin ky)) (sin ky) (* (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))) (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (/ -1 (sin ky)) (sin kx) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (* kx (/ kx (pow (sin ky) 2))) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/ -1 (sin kx)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 8.0ms | ky | @ | 0 | ((* (/ -1 (sin ky)) (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1)) (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (/ (sin th) (* (/ -1 (sin ky)) (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1))) (sin th) (+ (* (* -1/6 (* th th)) th) th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* -1/6 (* th th)) (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45)) (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (neg (sin ky)) (sin th)) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (* (neg (sin ky)) (sin th)) (neg (sin ky)) (sin ky) (* (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))) (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (/ -1 (sin ky)) (sin kx) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (* kx (/ kx (pow (sin ky) 2))) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/ -1 (sin kx)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 6.0ms | kx | @ | inf | ((* (/ -1 (sin ky)) (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1)) (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (/ (sin th) (* (/ -1 (sin ky)) (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1))) (sin th) (+ (* (* -1/6 (* th th)) th) th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* -1/6 (* th th)) (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45)) (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (neg (sin ky)) (sin th)) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (* (neg (sin ky)) (sin th)) (neg (sin ky)) (sin ky) (* (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))) (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (/ -1 (sin ky)) (sin kx) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (* kx (/ kx (pow (sin ky) 2))) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/ -1 (sin kx)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 6.0ms | ky | @ | inf | ((* (/ -1 (sin ky)) (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1)) (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (/ (sin th) (* (/ -1 (sin ky)) (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1))) (sin th) (+ (* (* -1/6 (* th th)) th) th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* -1/6 (* th th)) (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45)) (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (neg (sin ky)) (sin th)) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (* (neg (sin ky)) (sin th)) (neg (sin ky)) (sin ky) (* (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))) (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (/ -1 (sin ky)) (sin kx) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (* kx (/ kx (pow (sin ky) 2))) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/ -1 (sin kx)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 6.0ms | kx | @ | -inf | ((* (/ -1 (sin ky)) (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1)) (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (/ (sin th) (* (/ -1 (sin ky)) (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1))) (sin th) (+ (* (* -1/6 (* th th)) th) th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* -1/6 (* th th)) (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45)) (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (neg (sin ky)) (sin th)) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (* (neg (sin ky)) (sin th)) (neg (sin ky)) (sin ky) (* (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))))) (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (/ -1 (sin ky)) (sin kx) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (* kx (/ kx (pow (sin ky) 2))) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/ -1 (sin kx)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 795 | 4161 |
| 1 | 2557 | 3999 |
| 2 | 6563 | 3964 |
| 0 | 8290 | 3730 |
| 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) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2)))))) |
(* -1 (sin ky)) |
(+ (* -1 (sin ky)) (* -1/2 (/ (pow kx 2) (sin ky)))) |
(+ (* -1 (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)))))) |
(+ (* -1 (sin ky)) (* (pow kx 2) (- (* (pow kx 2) (+ (* -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 (/ (+ 1/3 (* 1/4 (/ 1 (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)))))))))))) |
(* (pow kx 2) (+ 1/15 (* 2/189 (pow ky 2)))) |
(* -2/189 (pow kx 2)) |
(* (pow kx 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))) |
(* (sqrt (/ 1 (sin ky))) (sin th)) |
(+ (* -1/2 (* (* (pow kx 2) (sin th)) (sqrt (/ 1 (pow (sin ky) 5))))) (* (sqrt (/ 1 (sin ky))) (sin th))) |
(+ (* (sqrt (/ 1 (sin ky))) (sin th)) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th))) (* 1/2 (* (* (pow kx 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 3))) (* 3/4 (/ 1 (pow (sin ky) 5)))))) (sqrt (sin ky))))))) |
(+ (* (sqrt (/ 1 (sin ky))) (sin th)) (* (pow kx 2) (+ (* -1/2 (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 3))) (* 3/4 (/ 1 (pow (sin ky) 5)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 3))) (+ (* 2/3 (/ 1 (pow (sin ky) 5))) (/ 1 (pow (sin ky) 7))))))) (sqrt (sin ky)))) (* 1/2 (* (sqrt (sin ky)) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 3))) (* 3/4 (/ 1 (pow (sin ky) 5)))))))))))) |
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)))) |
(+ 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) (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))))) (pow ky 2)) |
(/ (pow kx 2) (pow (sin ky) 2)) |
(/ -1 (sin ky)) |
(- (* 1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky))) |
(- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(- (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
(/ -1 kx) |
(/ (- (* -1/6 (pow kx 2)) 1) kx) |
(/ (- (* (pow kx 2) (- (* -7/360 (pow kx 2)) 1/6)) 1) kx) |
(/ (- (* (pow kx 2) (- (* (pow kx 2) (- (* -31/15120 (pow kx 2)) 7/360)) 1/6)) 1) kx) |
(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 ky)) |
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky))) |
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky))) |
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* -1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
(sin kx) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ -1 (sin kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(/ (sin kx) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky) |
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky) |
(* -1 (sin kx)) |
(+ (* -1 (sin kx)) (* -1/2 (/ (pow ky 2) (sin kx)))) |
(+ (* -1 (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)))))) |
(+ (* -1 (sin kx)) (* (pow ky 2) (- (* (pow ky 2) (+ (* -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 (/ (+ 1/3 (* 1/4 (/ 1 (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)))) |
(* 1/15 (pow kx 2)) |
(+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2))) |
(* 1/3 (pow kx 2)) |
(+ (* 1/15 (* (pow kx 2) (pow ky 2))) (* 1/3 (pow kx 2))) |
(+ (* 1/3 (pow kx 2)) (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2))))) |
(* -1 (* ky (sin th))) |
(* ky (+ (* -1 (sin th)) (* 1/6 (* (pow ky 2) (sin th))))) |
(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* -1/120 (* (pow ky 2) (sin th))) (* 1/6 (sin th)))))) |
(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* 1/6 (sin th)) (* (pow ky 2) (+ (* -1/120 (sin th)) (* 1/5040 (* (pow ky 2) (sin th))))))))) |
(* -1 ky) |
(* ky (- (* 1/6 (pow ky 2)) 1)) |
(* ky (- (* (pow ky 2) (+ 1/6 (* -1/120 (pow ky 2)))) 1)) |
(* ky (- (* (pow ky 2) (+ 1/6 (* (pow ky 2) (- (* 1/5040 (pow ky 2)) 1/120)))) 1)) |
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)))) |
(sqrt ky) |
(+ (sqrt ky) (* -1/12 (sqrt (pow ky 5)))) |
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* 1/240 (sqrt (pow ky 3)))))) |
(+ (sqrt ky) (* (pow ky 3) (+ (* -1/12 (sqrt (/ 1 ky))) (* (pow ky 2) (+ (* -1/288 (sqrt (/ 1 ky))) (* 1/240 (sqrt (/ 1 ky)))))))) |
(* (sqrt ky) (/ (sin th) (sin kx))) |
(+ (* -1/2 (* (sqrt (pow ky 5)) (* (sin kx) (* (sin th) (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))))))) (* (sqrt ky) (/ (sin th) (sin kx)))) |
(+ (* (sqrt ky) (/ (sin th) (sin kx))) (* (pow ky 3) (+ (* -1/2 (* (sqrt (/ 1 ky)) (* (sin kx) (* (sin th) (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))))))) (* 1/2 (* (sqrt (pow ky 3)) (* (sin kx) (* (sin th) (- (+ (* 1/120 (/ 1 (pow (sin kx) 2))) (* 1/3 (/ 1 (pow (sin kx) 4)))) (* -1 (/ (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))) (pow (sin kx) 2))))))))))) |
(+ (* (sqrt ky) (/ (sin th) (sin kx))) (* (pow ky 3) (+ (* -1/2 (* (sqrt (/ 1 ky)) (* (sin kx) (* (sin th) (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))))))) (* (pow ky 2) (+ (* -1/8 (* (sqrt (/ 1 ky)) (* (pow (sin kx) 3) (* (sin th) (pow (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))) 2))))) (* 1/2 (* (sqrt (/ 1 ky)) (* (sin kx) (* (sin th) (- (+ (* 1/120 (/ 1 (pow (sin kx) 2))) (* 1/3 (/ 1 (pow (sin kx) 4)))) (* -1 (/ (+ (* 1/6 (/ 1 (pow (sin kx) 2))) (/ 1 (pow (sin kx) 4))) (pow (sin kx) 2))))))))))))) |
(/ -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 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)))) |
(/ (pow kx 2) (pow ky 2)) |
(/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2)) |
(/ (+ (* (pow ky 2) (+ (* 1/15 (* (pow kx 2) (pow ky 2))) (* 1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2)) |
(/ (+ (* (pow ky 2) (+ (* 1/3 (pow kx 2)) (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2)))))) (pow kx 2)) (pow ky 2)) |
(/ (+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2)) |
(/ (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2)) |
(- (* 1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx))) |
(- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx))) |
(- (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (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)))))) |
(/ (sin th) (sin kx)) |
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx))) |
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx))) |
(* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) |
(* (pow ky 2) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (* 1/15 (/ (pow kx 2) (pow ky 2))))) |
(* -1 (* (pow ky 4) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) |
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (* 1/15 (/ (pow kx 2) (pow ky 2))))) |
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (+ (* 1/15 (/ (pow kx 2) (pow ky 2))) (* 1/3 (/ (pow kx 2) (pow ky 4)))))) |
(* -1 (* (sin ky) (sin th))) |
(sqrt (sin ky)) |
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (+ (* 1/15 (/ (pow kx 2) (pow ky 2))) (+ (* 1/3 (/ (pow kx 2) (pow ky 4))) (/ (pow kx 2) (pow ky 6)))))) |
(* (* 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)) |
(* -1 (* th (sin ky))) |
(* th (+ (* -1 (sin ky)) (* 1/6 (* (pow th 2) (sin ky))))) |
(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* -1/120 (* (pow th 2) (sin ky))) (* 1/6 (sin ky)))))) |
(* th (+ (* -1 (sin ky)) (* (pow th 2) (+ (* 1/6 (sin ky)) (* (pow th 2) (+ (* -1/120 (sin ky)) (* 1/5040 (* (pow th 2) (sin ky))))))))) |
(* th (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))) |
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))) |
(* -1/6 (pow th 3)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2)))) |
(fma.f64 (/.f64 #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)) |
(* -1 (sin ky)) |
(neg.f64 (sin.f64 ky)) |
(+ (* -1 (sin ky)) (* -1/2 (/ (pow kx 2) (sin ky)))) |
(fma.f64 (*.f64 kx (/.f64 kx (sin.f64 ky))) #s(literal -1/2 binary64) (neg.f64 (sin.f64 ky))) |
(+ (* -1 (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) (neg.f64 (sin.f64 ky))) |
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(sin th) |
(sin.f64 th) |
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) |
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(+ (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))))))))))) |
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(* (pow kx 2) (+ 1/15 (* 2/189 (pow ky 2)))) |
(*.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 kx kx)) |
(* -2/189 (pow kx 2)) |
(*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) |
(* (pow kx 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))) |
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(* (sqrt (/ 1 (sin ky))) (sin th)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)) |
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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)))) |
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(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6)))) |
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(+ 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)) |
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(+ 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)))))) |
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(/ (* (pow kx 2) (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))))) (pow ky 2)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 ky ky) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)) |
(/ (pow kx 2) (pow (sin ky) 2)) |
(*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(/ -1 (sin ky)) |
(/.f64 #s(literal -1 binary64) (sin.f64 ky)) |
(- (* 1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (*.f64 kx kx) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) |
(- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
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(- (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky))) |
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(/ -1 kx) |
(/.f64 #s(literal -1 binary64) kx) |
(/ (- (* -1/6 (pow kx 2)) 1) kx) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal -1 binary64)) kx) |
(/ (- (* (pow kx 2) (- (* -7/360 (pow kx 2)) 1/6)) 1) kx) |
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(/ (- (* (pow kx 2) (- (* (pow kx 2) (- (* -31/15120 (pow kx 2)) 7/360)) 1/6)) 1) kx) |
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(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)))))) |
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(/ (sin th) (sin ky)) |
(/.f64 (sin.f64 th) (sin.f64 ky)) |
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky))) |
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(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky))) |
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(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky))) |
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(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)) |
(* -1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) |
(neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) |
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(sin kx) |
(sin.f64 kx) |
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(/ -1 (sin kx)) |
(/.f64 #s(literal -1 binary64) (sin.f64 kx)) |
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) |
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(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
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(/ (sin kx) 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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(* -1 (sin kx)) |
(neg.f64 (sin.f64 kx)) |
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(fma.f64 (*.f64 ky (/.f64 ky (sin.f64 kx))) #s(literal -1/2 binary64) (neg.f64 (sin.f64 kx))) |
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(+ (* -1 (sin kx)) (* (pow ky 2) (- (* (pow ky 2) (+ (* -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 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))))) (* 1/2 (/ 1 (sin kx)))))) |
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(/ (* ky (sin th)) (sin kx)) |
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) |
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(*.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky) |
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx)))) |
(*.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)) (*.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 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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(* 1/15 (pow kx 2)) |
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(+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2))) |
(fma.f64 (*.f64 #s(literal 2/189 binary64) (*.f64 kx kx)) (*.f64 ky ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) |
(* 1/3 (pow kx 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 kx kx)) |
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(+ (* 1/3 (pow kx 2)) (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2))))) |
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(* -1 (* ky (sin th))) |
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(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* -1/120 (* (pow ky 2) (sin th))) (* 1/6 (sin th)))))) |
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(* ky (+ (* -1 (sin th)) (* (pow ky 2) (+ (* 1/6 (sin th)) (* (pow ky 2) (+ (* -1/120 (sin th)) (* 1/5040 (* (pow ky 2) (sin th))))))))) |
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(* -1 ky) |
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(* ky (- (* 1/6 (pow ky 2)) 1)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 ky ky) #s(literal -1 binary64)) ky) |
(* ky (- (* (pow ky 2) (+ 1/6 (* -1/120 (pow ky 2)))) 1)) |
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(* ky (- (* (pow ky 2) (+ 1/6 (* (pow ky 2) (- (* 1/5040 (pow ky 2)) 1/120)))) 1)) |
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ky |
(* ky (+ 1 (* -1/6 (pow ky 2)))) |
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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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(sqrt ky) |
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(* (sqrt ky) (/ (sin th) (sin kx))) |
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(/ -1 ky) |
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(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal -1 binary64)) ky) |
(/ (- (* (pow ky 2) (- (* -7/360 (pow ky 2)) 1/6)) 1) ky) |
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(/ ky (sin kx)) |
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(/ (pow kx 2) (pow ky 2)) |
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(* -1 (* (sin ky) (sin th))) |
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th |
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(* th (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) th) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 th th) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) th) |
(* th (+ (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ (sin ky) (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1/6 binary64))) (*.f64 th th) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) th) |
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) th) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 th th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) th) |
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1/6 binary64))) (*.f64 th th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) th) |
(* -1/6 (pow th 3)) |
(*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))) |
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th)))) (pow.f64 th #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 521 |
| 0 | 115 | 429 |
| 1 | 394 | 412 |
| 2 | 2581 | 406 |
| 0 | 8518 | 403 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))) |
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) |
(/.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
(sin.f64 th) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#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)) |
(fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) |
(fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) |
(neg.f64 (sin.f64 ky)) |
(sin.f64 ky) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))))) |
(sqrt.f64 (sin.f64 ky)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) |
(/.f64 #s(literal -1 binary64) (sin.f64 ky)) |
(sin.f64 kx) |
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky)) |
#s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) |
#s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) |
(/.f64 #s(literal -1 binary64) (sin.f64 kx)) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) |
(/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (sin.f64 ky))) (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (sin.f64 ky))) (/.f64 (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sqrt.f64 (sin.f64 ky)))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) #s(literal -1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64)) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))) |
(*.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)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky)))) |
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) |
(*.f64 #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))) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) |
(*.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 (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 (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 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (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)))) |
(/.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))))) |
(sqrt.f64 (/.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (neg.f64 (sin.f64 ky)))) |
(exp.f64 (-.f64 (*.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)) (log.f64 (sin.f64 ky)))) |
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64)) |
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(-.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) #s(literal -1 binary64))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 (sin.f64 th) (*.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 (/.f64 (sin.f64 th) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 th) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (/.f64 (sin.f64 th) (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (sin.f64 ky) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (neg.f64 (sin.f64 ky))) |
(*.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (neg.f64 (sin.f64 ky))) |
(*.f64 (/.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 th)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) #s(literal -1 binary64)) (/.f64 (sin.f64 th) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))))) |
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(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) #s(literal 2 binary64)) (pow.f64 ky #s(literal 4 binary64)) (neg.f64 (pow.f64 kx #s(literal 4 binary64)))) (*.f64 (*.f64 ky ky) (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 (neg.f64 kx) kx)))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) #s(literal 3 binary64)) (pow.f64 ky #s(literal 6 binary64)) (pow.f64 kx #s(literal 6 binary64))) (*.f64 (*.f64 ky ky) (fma.f64 (pow.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) #s(literal 2 binary64)) (pow.f64 ky #s(literal 4 binary64)) (-.f64 (pow.f64 kx #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (pow.f64 (*.f64 ky kx) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx))) (*.f64 (neg.f64 ky) ky)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 ky ky) (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 ky (/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) ky))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 ky ky) (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 ky ky) (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 ky (/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) ky)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 ky ky) (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 ky ky) (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx))) (*.f64 ky ky))) |
(neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 (neg.f64 ky) ky))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky)) #s(literal 2 binary64)) (*.f64 (*.f64 ky ky) (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 (neg.f64 kx) kx)))) (/.f64 (pow.f64 kx #s(literal 4 binary64)) (*.f64 (*.f64 ky ky) (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 (neg.f64 kx) kx))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 ky) ky)) (/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 (neg.f64 ky) ky))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 (neg.f64 kx) kx))) (*.f64 ky ky)) (/.f64 (/.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 (neg.f64 kx) kx))) (*.f64 ky ky))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 ky ky) (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)))) #s(literal -1 binary64))) |
#s(approx (* kx (/ kx (pow (sin ky) 2))) (*.f64 (pow.f64 ky #s(literal -2 binary64)) (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)))) |
#s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) |
(*.f64 (pow.f64 (sin.f64 kx) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 (sin.f64 kx) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (sin.f64 kx) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (sin.f64 kx)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (sin.f64 kx) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 kx) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 kx) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 kx))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 kx) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 kx) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sin.f64 kx)))) |
(/.f64 #s(literal -1 binary64) (sin.f64 kx)) |
(neg.f64 (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 kx) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sin.f64 kx))) #s(literal -1 binary64))) |
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) |
(*.f64 (pow.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 th)) |
(*.f64 (neg.f64 (sin.f64 th)) (pow.f64 (neg.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) |
(*.f64 (sin.f64 th) (pow.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64))) (neg.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 th)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))))) |
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 th))) (neg.f64 (neg.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))))) |
(/.f64 (neg.f64 (sin.f64 th)) (neg.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th))) |
(/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th)))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) |
(neg.f64 (/.f64 (sin.f64 th) (neg.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) (/.f64 (sin.f64 th) (neg.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th))) #s(literal -1 binary64))) |
Compiled 36 782 to 4 127 computations (88.8% saved)
73 alts after pruning (67 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 803 | 27 | 830 |
| Fresh | 11 | 40 | 51 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 816 | 73 | 889 |
| Status | Accuracy | Program |
|---|---|---|
| 97.6% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) | |
| 39.3% | (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) | |
| 80.1% | (/.f64 (sin.f64 th) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 ky))) | |
| 38.5% | (/.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) | |
| 38.4% | (/.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 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 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) | |
| 99.6% | (/.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) | |
| 32.1% | (/.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) #s(approx (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (neg.f64 (sin.f64 kx))))) | |
| 48.7% | (/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal -1 binary64)) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) | |
| 47.8% | (/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) | |
| 29.4% | (/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) | |
| 33.2% | (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th))) | |
| 50.6% | (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) | |
| 97.1% | (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (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))) | |
| ✓ | 99.7% | (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
| 16.7% | (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sin.f64 ky)) | |
| 33.3% | (*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sin.f64 ky)) | |
| 80.1% | (*.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) (*.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)) | |
| 43.4% | (*.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)) | |
| ✓ | 54.1% | (*.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)) |
| 46.5% | (*.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) ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)) | |
| 24.3% | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) | |
| 30.6% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 #s(approx (* (/ 1/2 (sin kx)) ky) (*.f64 (/.f64 ky kx) #s(literal 1/2 binary64))) ky (sin.f64 kx)))) (sin.f64 th)) | |
| 32.1% | (*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) | |
| 30.7% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) | |
| 13.3% | (*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) | |
| 16.6% | (*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) | |
| 39.1% | (*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) | |
| 26.9% | (*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64))))) | |
| ✓ | 30.7% | (*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
| 15.1% | (*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal -1 binary64)) kx)))) | |
| 19.0% | (*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 #s(literal -1 binary64) kx)))) | |
| 30.1% | (*.f64 (*.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) | |
| 32.0% | (*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th)) (neg.f64 (sin.f64 ky))) | |
| 32.0% | (*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th)) | |
| 45.4% | (*.f64 (*.f64 #s(approx (neg (sin ky)) (*.f64 (fma.f64 (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)) (*.f64 ky ky) #s(literal -1 binary64)) ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| 45.3% | (*.f64 (*.f64 #s(approx (neg (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)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| 45.3% | (*.f64 (*.f64 #s(approx (neg (sin ky)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)) ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| 45.7% | (*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| 28.0% | (*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) | |
| 32.3% | (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th)))) | |
| ✓ | 32.3% | (*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))))) |
| 32.3% | (*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)))) | |
| 28.9% | (*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) | |
| 80.0% | (*.f64 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th))) | |
| 32.1% | (*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) | |
| 29.3% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (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))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 28.7% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 12.4% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 kx #s(literal 1/15 binary64)) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 6.4% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) | |
| 13.5% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 12.5% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 #s(approx (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 kx kx))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 10.9% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 ky ky) #s(literal 1/3 binary64)) (*.f64 kx kx))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 15.4% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (/.f64 ky (/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 31.1% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) | |
| 29.4% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) | |
| 3.2% | (*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th)) | |
| 48.9% | (*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) | |
| 17.9% | (*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) | |
| 47.7% | (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) | |
| ✓ | 33.3% | #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
| 16.4% | #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))) | |
| 16.3% | #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))) | |
| 16.4% | #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))) | |
| 16.4% | #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))) | |
| 16.4% | #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))) | |
| 16.4% | #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))) | |
| ✓ | 16.4% | #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))) |
| 16.4% | #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))) | |
| 16.4% | #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 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) 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 #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))))) | |
| 10.4% | #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))))) | |
| 8.1% | #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)))))) |
Compiled 5 056 to 2 066 computations (59.1% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (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 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #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) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) th))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 kx #s(literal 1/15 binary64)) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
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#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.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)))) |
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(/.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 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 th) (/.f64 (hypot.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (sin.f64 ky))) |
(*.f64 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64)))) (sin.f64 th))) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 4 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 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th)) |
(/.f64 (sin.f64 th) (*.f64 (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 ky))))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (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))) (sin.f64 th)) |
(*.f64 (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)) (sin.f64 th)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
9 calls:
| 49.0ms | ky |
| 48.0ms | th |
| 31.0ms | (sin.f64 th) |
| 30.0ms | (sin.f64 ky) |
| 28.0ms | kx |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | kx |
| 99.7% | 1 | ky |
| 99.7% | 1 | th |
| 99.7% | 1 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 99.7% | 1 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 99.7% | 1 | (sin.f64 ky) |
| 99.7% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 99.7% | 1 | (sin.f64 kx) |
| 99.7% | 1 | (sin.f64 th) |
Compiled 42 to 51 computations (-21.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (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 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #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) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) th))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 kx #s(literal 1/15 binary64)) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 ky ky) #s(literal 1/3 binary64)) (*.f64 kx kx))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 #s(approx (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 kx kx))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (*.f64 kx #s(literal -1/45 binary64))) (*.f64 kx #s(literal 1/15 binary64))) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (/.f64 ky (/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 #s(literal -1 binary64) kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal -1 binary64)) kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (*.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal -1 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (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))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 th)) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (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 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (neg.f64 (sin.f64 ky)) (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th)) (neg.f64 (sin.f64 ky))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) |
(*.f64 (*.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) #s(approx (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (neg.f64 (sin.f64 kx))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 #s(approx (* (/ 1/2 (sin kx)) ky) (*.f64 (/.f64 ky kx) #s(literal 1/2 binary64))) ky (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.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) ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 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)) |
(*.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 #s(approx (neg (sin ky)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)) ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal -1 binary64)) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th)))) |
(*.f64 (*.f64 #s(approx (neg (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)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (*.f64 (fma.f64 (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)) (*.f64 ky ky) #s(literal -1 binary64)) ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th)) |
(/.f64 (sin.f64 th) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 ky))) |
(*.f64 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th))) |
| Outputs |
|---|
(/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal -1 binary64)) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #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)) |
9 calls:
| 31.0ms | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 29.0ms | (/.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))))) |
| 24.0ms | (*.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)) |
| 24.0ms | ky |
| 23.0ms | th |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 2 | kx |
| 99.3% | 2 | ky |
| 88.4% | 2 | th |
| 84.6% | 2 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 99.5% | 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))))) |
| 99.3% | 3 | (sin.f64 ky) |
| 93.7% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 93.7% | 3 | (sin.f64 kx) |
| 88.4% | 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) (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)) (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 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #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) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) th))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 kx #s(literal 1/15 binary64)) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 ky ky) #s(literal 1/3 binary64)) (*.f64 kx kx))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 #s(approx (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 kx kx))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (*.f64 kx #s(literal -1/45 binary64))) (*.f64 kx #s(literal 1/15 binary64))) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (/.f64 ky (/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 #s(literal -1 binary64) kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal -1 binary64)) kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (*.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal -1 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (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))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 th)) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (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 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (neg.f64 (sin.f64 ky)) (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th)) (neg.f64 (sin.f64 ky))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) |
(*.f64 (*.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) #s(approx (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (neg.f64 (sin.f64 kx))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 #s(approx (* (/ 1/2 (sin kx)) ky) (*.f64 (/.f64 ky kx) #s(literal 1/2 binary64))) ky (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.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) ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 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)) |
(*.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 #s(approx (neg (sin ky)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)) ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))))) |
(/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal -1 binary64)) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th)))) |
(*.f64 (*.f64 #s(approx (neg (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)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (*.f64 (fma.f64 (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)) (*.f64 ky ky) #s(literal -1 binary64)) ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| 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 (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal -1 binary64)) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
9 calls:
| 47.0ms | (sin.f64 kx) |
| 29.0ms | th |
| 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))))) |
| 21.0ms | (sin.f64 ky) |
| 21.0ms | (sin.f64 th) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.5% | 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)) |
| 74.8% | 3 | (sin.f64 th) |
| 75.3% | 3 | th |
| 75.2% | 3 | (sin.f64 kx) |
| 75.6% | 3 | kx |
| 73.1% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 87.5% | 6 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 80.4% | 3 | (sin.f64 ky) |
| 78.9% | 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) (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)) (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 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #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) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) th))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 kx #s(literal 1/15 binary64)) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 ky ky) #s(literal 1/3 binary64)) (*.f64 kx kx))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 #s(approx (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 kx kx))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (*.f64 kx #s(literal -1/45 binary64))) (*.f64 kx #s(literal 1/15 binary64))) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (/.f64 ky (/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 #s(literal -1 binary64) kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal -1 binary64)) kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (*.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal -1 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (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))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 th)) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (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 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (neg.f64 (sin.f64 ky)) (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th)) (neg.f64 (sin.f64 ky))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) |
(*.f64 (*.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) #s(approx (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (neg.f64 (sin.f64 kx))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 #s(approx (* (/ 1/2 (sin kx)) ky) (*.f64 (/.f64 ky kx) #s(literal 1/2 binary64))) ky (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.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) ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 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)) |
(*.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 #s(approx (neg (sin ky)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/6 binary64) #s(literal -1 binary64)) ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))))) |
| 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 (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
1 calls:
| 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 |
|---|---|---|
| 87.4% | 6 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (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 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #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) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) th))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 kx #s(literal 1/15 binary64)) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 ky ky) #s(literal 1/3 binary64)) (*.f64 kx kx))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 #s(approx (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 kx kx))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (*.f64 kx #s(literal -1/45 binary64))) (*.f64 kx #s(literal 1/15 binary64))) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (/.f64 ky (/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 #s(literal -1 binary64) kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal -1 binary64)) kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (*.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal -1 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (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))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 th)) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (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 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (neg.f64 (sin.f64 ky)) (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th)) (neg.f64 (sin.f64 ky))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) |
(*.f64 (*.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) #s(approx (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (neg.f64 (sin.f64 kx))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 #s(approx (* (/ 1/2 (sin kx)) ky) (*.f64 (/.f64 ky kx) #s(literal 1/2 binary64))) ky (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.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) ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 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)) |
| 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 (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
1 calls:
| 17.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 6 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (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 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #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) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) th))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 kx #s(literal 1/15 binary64)) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 ky ky) #s(literal 1/3 binary64)) (*.f64 kx kx))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 #s(approx (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 kx kx))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (*.f64 kx #s(literal -1/45 binary64))) (*.f64 kx #s(literal 1/15 binary64))) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (/.f64 ky (/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 #s(literal -1 binary64) kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal -1 binary64)) kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (*.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal -1 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (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))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 th)) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (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 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (neg.f64 (sin.f64 ky)) (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th)) (neg.f64 (sin.f64 ky))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) |
(*.f64 (*.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) #s(approx (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (neg.f64 (sin.f64 kx))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 #s(approx (* (/ 1/2 (sin kx)) ky) (*.f64 (/.f64 ky kx) #s(literal 1/2 binary64))) ky (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.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) ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.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) ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) |
1 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))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.1% | 6 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (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 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #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) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) th))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 kx #s(literal 1/15 binary64)) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 ky ky) #s(literal 1/3 binary64)) (*.f64 kx kx))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 #s(approx (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 kx kx))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (*.f64 kx #s(literal -1/45 binary64))) (*.f64 kx #s(literal 1/15 binary64))) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (/.f64 ky (/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 #s(literal -1 binary64) kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal -1 binary64)) kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (*.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal -1 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (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))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 th)) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (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 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (neg.f64 (sin.f64 ky)) (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th)) (neg.f64 (sin.f64 ky))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) |
(*.f64 (*.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) #s(approx (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (neg.f64 (sin.f64 kx))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 #s(approx (* (/ 1/2 (sin kx)) ky) (*.f64 (/.f64 ky kx) #s(literal 1/2 binary64))) ky (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.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) ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
| Outputs |
|---|
(*.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) ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) |
(*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
1 calls:
| 15.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.1% | 6 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
Compiled 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (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 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #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) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) th))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 kx #s(literal 1/15 binary64)) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 ky ky) #s(literal 1/3 binary64)) (*.f64 kx kx))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 #s(approx (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 kx kx))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (*.f64 kx #s(literal -1/45 binary64))) (*.f64 kx #s(literal 1/15 binary64))) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (/.f64 ky (/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 #s(literal -1 binary64) kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal -1 binary64)) kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (*.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal -1 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (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))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 th)) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (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 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (neg.f64 (sin.f64 ky)) (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th)) (neg.f64 (sin.f64 ky))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) |
(*.f64 (*.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) #s(approx (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (neg.f64 (sin.f64 kx))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 #s(approx (* (/ 1/2 (sin kx)) ky) (*.f64 (/.f64 ky kx) #s(literal 1/2 binary64))) ky (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.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) ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) |
| Outputs |
|---|
(*.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) ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.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)) |
3 calls:
| 18.0ms | (sin.f64 ky) |
| 16.0ms | ky |
| 14.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 3 | (sin.f64 ky) |
| 78.2% | 2 | ky |
| 82.0% | 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 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) (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)) (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 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #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) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) th))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 kx #s(literal 1/15 binary64)) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 ky ky) #s(literal 1/3 binary64)) (*.f64 kx kx))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 #s(approx (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 kx kx))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (*.f64 kx #s(literal -1/45 binary64))) (*.f64 kx #s(literal 1/15 binary64))) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (/.f64 ky (/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 #s(literal -1 binary64) kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal -1 binary64)) kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (*.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal -1 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (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))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 th)) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (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 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (neg.f64 (sin.f64 ky)) (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th)) (neg.f64 (sin.f64 ky))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) |
(*.f64 (*.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) #s(approx (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (neg.f64 (sin.f64 kx))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 #s(approx (* (/ 1/2 (sin kx)) ky) (*.f64 (/.f64 ky kx) #s(literal 1/2 binary64))) ky (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.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) ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
| Outputs |
|---|
(*.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) ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
9 calls:
| 17.0ms | (*.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)) |
| 17.0ms | (sin.f64 kx) |
| 16.0ms | ky |
| 16.0ms | th |
| 15.0ms | (sin.f64 th) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.8% | 2 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 58.3% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 48.3% | 2 | (sin.f64 th) |
| 64.1% | 4 | (sin.f64 kx) |
| 46.5% | 1 | th |
| 60.6% | 3 | kx |
| 69.1% | 3 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 61.9% | 3 | ky |
| 63.7% | 3 | (sin.f64 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) (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)) (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 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #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) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) th))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 kx #s(literal 1/15 binary64)) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 ky ky) #s(literal 1/3 binary64)) (*.f64 kx kx))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 #s(approx (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 kx kx))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (*.f64 kx #s(literal -1/45 binary64))) (*.f64 kx #s(literal 1/15 binary64))) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (/.f64 ky (/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 #s(literal -1 binary64) kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal -1 binary64)) kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (*.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal -1 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (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))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 th)) #s(literal -1/6 binary64) th))) |
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (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 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)) (sin.f64 th))) |
(*.f64 (neg.f64 (sin.f64 ky)) (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th))) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th)) |
(*.f64 (*.f64 #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx))) (sin.f64 th)) (neg.f64 (sin.f64 ky))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky)))) |
(*.f64 (*.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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 (sin.f64 th) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) #s(approx (* (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (neg.f64 (sin.f64 kx))))) |
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (sin.f64 ky)) |
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 #s(approx (* (/ 1/2 (sin kx)) ky) (*.f64 (/.f64 ky kx) #s(literal 1/2 binary64))) ky (sin.f64 kx)))) (sin.f64 th)) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))) |
(*.f64 (sqrt.f64 (sin.f64 ky)) #s(approx (* (sqrt (sin ky)) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 th)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
6 calls:
| 18.0ms | (sin.f64 kx) |
| 17.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 16.0ms | kx |
| 15.0ms | (sin.f64 ky) |
| 14.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.4% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 50.4% | 2 | kx |
| 50.6% | 2 | ky |
| 53.9% | 3 | (sin.f64 kx) |
| 52.1% | 2 | (sin.f64 ky) |
| 56.7% | 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 23 to 31 computations (-34.8% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (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 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #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) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) th))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 kx #s(literal 1/15 binary64)) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 ky ky) #s(literal 1/3 binary64)) (*.f64 kx kx))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 #s(approx (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 kx kx))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (*.f64 kx #s(literal -1/45 binary64))) (*.f64 kx #s(literal 1/15 binary64))) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (/.f64 ky (/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
(*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 #s(literal -1 binary64) (sin.f64 kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 #s(literal -1 binary64) kx)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) #s(approx (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(approx (/ -1 (sin kx)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal -1 binary64)) kx)))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (*.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal -1 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (*.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (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))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 th)) #s(literal -1/6 binary64) th))) |
| Outputs |
|---|
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
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 |
|---|---|---|
| 55.1% | 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 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (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 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #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) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) th))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 kx #s(literal 1/15 binary64)) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 ky ky) #s(literal 1/3 binary64)) (*.f64 kx kx))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 #s(approx (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 kx kx))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (*.f64 kx #s(literal -1/45 binary64))) (*.f64 kx #s(literal 1/15 binary64))) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (/.f64 ky (/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) |
| 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:
| 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))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.1% | 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 13 to 11 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (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 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #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) #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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64)) th))))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 kx #s(literal 1/15 binary64)) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64)) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (*.f64 (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 ky ky) #s(literal 1/3 binary64)) (*.f64 kx kx))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 #s(approx (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (*.f64 kx kx))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (*.f64 kx #s(literal -1/45 binary64))) (*.f64 kx #s(literal 1/15 binary64))) (*.f64 ky ky) (*.f64 #s(literal 1/3 binary64) kx)) (*.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) kx) kx (*.f64 (fma.f64 (*.f64 (neg.f64 ky) ky) (fma.f64 (*.f64 kx kx) #s(literal 11/945 binary64) (*.f64 (*.f64 kx kx) #s(literal -1/45 binary64))) (*.f64 (*.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky))) (*.f64 ky ky) (*.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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)) #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))) |
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (/.f64 ky (/.f64 (fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (*.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky) (*.f64 #s(literal 1/15 binary64) (*.f64 kx kx))) (*.f64 (*.f64 #s(literal 1/3 binary64) kx) kx)) (*.f64 ky ky) (*.f64 kx kx)) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 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:
| 38.0ms | (sin.f64 kx) |
| 27.0ms | kx |
| 9.0ms | th |
| 7.0ms | (sin.f64 ky) |
| 7.0ms | (*.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 |
|---|---|---|
| 33.3% | 1 | th |
| 33.3% | 1 | (sin.f64 th) |
| 39.4% | 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)) |
| 36.5% | 2 | kx |
| 36.6% | 2 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 37.2% | 2 | ky |
| 37.6% | 2 | (sin.f64 ky) |
| 35.2% | 2 | (sin.f64 kx) |
| 39.3% | 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 42 to 51 computations (-21.4% saved)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
| Outputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) |
7 calls:
| 2.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 2.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 2.0ms | kx |
| 2.0ms | (sin.f64 ky) |
| 2.0ms | (sin.f64 kx) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.3% | 1 | (sin.f64 kx) |
| 33.3% | 1 | kx |
| 33.3% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 33.3% | 1 | ky |
| 33.3% | 1 | (sin.f64 ky) |
| 33.3% | 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)) |
| 33.3% | 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)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th th))) |
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th))) |
| Outputs |
|---|
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
9 calls:
| 5.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 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 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 2.0ms | (sin.f64 kx) |
| 2.0ms | ky |
| Accuracy | Segments | Branch |
|---|---|---|
| 16.4% | 1 | ky |
| 16.4% | 1 | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) |
| 16.4% | 1 | (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) |
| 16.4% | 1 | (sin.f64 th) |
| 16.4% | 1 | kx |
| 16.4% | 1 | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 16.4% | 1 | (sin.f64 ky) |
| 16.4% | 1 | th |
| 16.4% | 1 | (sin.f64 kx) |
Compiled 42 to 51 computations (-21.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 1.3672694198420418e-5 | 0.07763678160396852 |
| 16.0ms | 128× | 0 | valid |
Compiled 411 to 338 computations (17.8% saved)
ival-sin: 7.0ms (57% of total)ival-pow2: 2.0ms (16.3% 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)| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 0.9999998364267351 | 0.9999999999991711 |
| 0.0ms | 0.5888157176559046 | 0.6072516213627311 |
| 0.0ms | -0.056216277894923276 | 2.7571596270914702e-307 |
| 0.0ms | -1.0 | -0.999999908021051 |
Compiled 19 to 19 computations (0% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 0.9999998364267351 | 0.9999999999991711 |
| 0.0ms | 0.5888157176559046 | 0.6072516213627311 |
| 0.0ms | -0.056216277894923276 | 2.7571596270914702e-307 |
| 0.0ms | -1.0 | -0.999999908021051 |
Compiled 19 to 19 computations (0% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 0.9999998364267351 | 0.9999999999991711 |
| 0.0ms | 0.5888157176559046 | 0.6072516213627311 |
| 0.0ms | -0.056216277894923276 | 2.7571596270914702e-307 |
| 0.0ms | -1.0 | -0.999999908021051 |
Compiled 19 to 19 computations (0% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 0.9999998364267351 | 0.9999999999991711 |
| 0.0ms | 0.5888157176559046 | 0.6072516213627311 |
| 0.0ms | -0.056216277894923276 | 2.7571596270914702e-307 |
| 0.0ms | -1.0 | -0.999999908021051 |
Compiled 19 to 19 computations (0% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | +inf |
| 0.0ms | 0.9999998364267351 | 0.9999999999991711 |
| 0.0ms | 0.5888157176559046 | 0.6072516213627311 |
| 0.0ms | -0.056216277894923276 | 2.7571596270914702e-307 |
| 0.0ms | -1.0 | -0.999999908021051 |
Compiled 19 to 19 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3672694197994416e-5 | 0.008888150987928906 |
| 0.0ms | -0.01995246000138828 | 2.588284269404431e-307 |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1697761821923224e-12 | 1.9859519987981134e-5 |
| 0.0ms | -0.9982342361097879 | -0.9910784782244463 |
Compiled 19 to 19 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1697761821923224e-12 | 1.9859519987981134e-5 |
Compiled 19 to 19 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1697761821923224e-12 | 1.9859519987981134e-5 |
Compiled 19 to 19 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1697761821923224e-12 | 1.9859519987981134e-5 |
Compiled 19 to 19 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.532086440655261e-88 | 1.1983343913861946e-82 |
Compiled 19 to 19 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 1506 |
| 1 | 192 | 1506 |
| 2 | 237 | 1506 |
| 3 | 288 | 1506 |
| 4 | 315 | 1506 |
| 5 | 377 | 1506 |
| 6 | 1061 | 1506 |
| 7 | 2662 | 1506 |
| 8 | 5799 | 1506 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(if (<=.f64 ky #s(literal 5764607523034235/4611686018427387904 binary64)) (/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal -1 binary64)) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #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))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 ky) (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 (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 5404319552844595/9007199254740992 binary64)) (/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal -1 binary64)) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #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 9007198354021067/9007199254740992 binary64)) (*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #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 -1 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 (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 5404319552844595/9007199254740992 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 9007198354021067/9007199254740992 binary64)) (*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #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 -1 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 (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 5404319552844595/9007199254740992 binary64)) (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 9007198354021067/9007199254740992 binary64)) (*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #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 -1 binary64)) (*.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) ky)) #s(literal 1/2 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 (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 5404319552844595/9007199254740992 binary64)) (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 9007198354021067/9007199254740992 binary64)) (*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #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 -1 binary64)) (*.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) ky)) #s(literal 1/2 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 (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 5404319552844595/9007199254740992 binary64)) (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 9007198354021067/9007199254740992 binary64)) (*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))))))) |
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (*.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) ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 5902958103587057/295147905179352825856 binary64)) (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.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 -8962163258467287/9007199254740992 binary64)) (*.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) ky)) #s(literal 1/2 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 4951760157141521/2475880078570760549798248448 binary64)) (*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4951760157141521/2475880078570760549798248448 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 8958978968711217/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 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)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) |
(if (<=.f64 ky #s(literal 5764607523034235/4611686018427387904 binary64)) (/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal -1 binary64)) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #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))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 ky) (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 (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 5404319552844595/9007199254740992 binary64)) (/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal -1 binary64)) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #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 9007198354021067/9007199254740992 binary64)) (*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #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 -1 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 (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 5404319552844595/9007199254740992 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 9007198354021067/9007199254740992 binary64)) (*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #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 -1 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 (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 5404319552844595/9007199254740992 binary64)) (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 9007198354021067/9007199254740992 binary64)) (*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #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 -1 binary64)) (*.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) ky)) #s(literal 1/2 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 (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 5404319552844595/9007199254740992 binary64)) (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 9007198354021067/9007199254740992 binary64)) (*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (/.f64 (sin.f64 th) (*.f64 #s(approx (/ -1 (sin ky)) (/.f64 #s(literal -1 binary64) ky)) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #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 -1 binary64)) (*.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) ky)) #s(literal 1/2 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 (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 5404319552844595/9007199254740992 binary64)) (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 9007198354021067/9007199254740992 binary64)) (*.f64 #s(approx (* (neg (sin ky)) (sin th)) (*.f64 (neg.f64 th) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (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 2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))))))) |
(if (<=.f64 (sin.f64 ky) #s(literal -5764607523034235/576460752303423488 binary64)) (*.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) ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)) (if (<=.f64 (sin.f64 ky) #s(literal 5902958103587057/295147905179352825856 binary64)) (*.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.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 -8962163258467287/9007199254740992 binary64)) (*.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) ky)) #s(literal 1/2 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 4951760157141521/2475880078570760549798248448 binary64)) (*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (*.f64 #s(approx (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 ky)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4951760157141521/2475880078570760549798248448 binary64)) (/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))) |
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4951760157141521/2475880078570760549798248448 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 8958978968711217/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 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)) #s(approx (sin th) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th th))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 49 |
| 0 | 22 | 49 |
| 1 | 62 | 49 |
| 2 | 344 | 49 |
| 3 | 2978 | 49 |
| 0 | 8260 | 34 |
| 0 | 317 | 1402 |
| 1 | 1011 | 1353 |
| 2 | 3865 | 1261 |
| 3 | 7812 | 1261 |
| 0 | 8115 | 1188 |
| 0 | 624 | 3192 |
| 1 | 2046 | 3009 |
| 2 | 7944 | 2997 |
| 0 | 8154 | 2833 |
| 0 | 607 | 3039 |
| 1 | 1941 | 2903 |
| 2 | 7521 | 2865 |
| 0 | 8110 | 2681 |
| 0 | 795 | 4161 |
| 1 | 2557 | 3999 |
| 2 | 6563 | 3964 |
| 0 | 8290 | 3730 |
| 0 | 44 | 249 |
| 0 | 73 | 231 |
| 1 | 249 | 230 |
| 2 | 1517 | 222 |
| 0 | 8154 | 222 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 944 to 1 073 computations (63.6% saved)
(negabs ky)
(negabs th)
(abs kx)
Compiled 3 122 to 404 computations (87.1% saved)
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