
Time bar (total: 9.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0.1% | 99.9% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0.1% | 99.9% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0.1% | 99.9% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0.1% | 99.9% | 0% | 0% | 0% | 3 |
| 12.5% | 0% | 0.1% | 99.9% | 0% | 0% | 0% | 4 |
| 18.7% | 0% | 0.1% | 99.9% | 0% | 0% | 0% | 5 |
| 28.1% | 0% | 0.1% | 99.9% | 0% | 0% | 0% | 6 |
| 42.2% | 0% | 0.1% | 99.9% | 0% | 0% | 0% | 7 |
| 49.2% | 0% | 0% | 99.9% | 0% | 0% | 0% | 8 |
| 57.4% | 0.1% | 0% | 99.9% | 0% | 0% | 0% | 9 |
| 67% | 0.1% | 0% | 99.9% | 0% | 0% | 0% | 10 |
| 71.8% | 0.1% | 0% | 99.9% | 0% | 0% | 0% | 11 |
| 76.9% | 0.1% | 0% | 99.9% | 0% | 0% | 0% | 12 |
Compiled 49 to 28 computations (42.9% saved)
| 1.4s | 8 256× | 0 | valid |
ival-sub: 344.0ms (30.6% of total)ival-mult: 210.0ms (18.7% of total)const: 170.0ms (15.1% of total)ival-cosu: 128.0ms (11.4% of total)ival-<=: 128.0ms (11.4% of total)ival-sqrt: 62.0ms (5.5% of total)ival-add: 39.0ms (3.5% of total)ival-and: 29.0ms (2.6% of total)exact: 10.0ms (0.9% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 191 | 9 | (0.0029485491104424 7.103327259727621e-9 7.326089264979575e-38) | 2 | (0.005179062485694885 0.018270306289196014 3.6829117281036683e-31) | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
| 2 | 0 | - | 1 | (5.328572583174207e-10 0.7342624664306641 2.0514790063459065e-27) | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary32) |
| 0 | 0 | - | 0 | - | (PI.f32) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| 0 | 0 | - | 0 | - | maxCos |
| 0 | 0 | - | 0 | - | (*.f32 ux maxCos) |
| 0 | 0 | - | 0 | - | ux |
| 0 | 0 | - | 0 | - | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| 0 | 0 | - | 0 | - | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
| 0 | 0 | - | 0 | - | uy |
| 0 | 0 | - | 0 | - | (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
| 0 | 0 | - | 0 | - | (*.f32 uy #s(literal 2 binary32)) |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) ux) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f32 | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) | cancellation | 198 | 12 |
cos.f32 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) | sensitivity | 1 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 196 | 3 |
| - | 2 | 55 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 196 | 3 | 0 |
| - | 2 | 9 | 46 |
| number | freq |
|---|---|
| 0 | 58 |
| 1 | 197 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 109.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 245 to 52 computations (78.8% saved)
ival-mult: 42.0ms (66.4% of total)ival-cosu: 8.0ms (12.7% of total)ival-sub: 4.0ms (6.3% of total)ival-sqrt: 3.0ms (4.7% of total)ival-pi: 2.0ms (3.2% of total)ival-add: 2.0ms (3.2% of total)exact: 1.0ms (1.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 238 |
| 1 | 230 | 232 |
| 2 | 836 | 232 |
| 3 | 2868 | 232 |
| 4 | 6811 | 228 |
| 0 | 16 | 25 |
| 0 | 27 | 25 |
| 1 | 59 | 25 |
| 2 | 163 | 25 |
| 3 | 533 | 25 |
| 4 | 1492 | 25 |
| 5 | 3431 | 25 |
| 6 | 7616 | 25 |
| 0 | 8059 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| Outputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) |
(abs uy)
Compiled 25 to 16 computations (36% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.7% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
Compiled 25 to 16 computations (36% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) | |
| cost-diff | 0 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| cost-diff | 1 | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) | |
| cost-diff | 1 | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 108 |
| 0 | 27 | 108 |
| 1 | 59 | 108 |
| 2 | 163 | 108 |
| 3 | 533 | 108 |
| 4 | 1492 | 108 |
| 5 | 3431 | 108 |
| 6 | 7616 | 108 |
| 0 | 8059 | 96 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
#s(literal 1 binary32) |
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(-.f32 #s(literal 1 binary32) ux) |
ux |
(*.f32 ux maxCos) |
maxCos |
| Outputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)) |
(*.f32 uy #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) uy) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) |
(-.f32 #s(literal 1 binary32) ux) |
ux |
(*.f32 ux maxCos) |
(*.f32 maxCos ux) |
maxCos |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.14453125 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| accuracy | 0.30859375 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) | |
| accuracy | 0.44921875 | (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) | |
| accuracy | 13.08797032170482 | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
| 45.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 110 to 18 computations (83.6% saved)
ival-mult: 24.0ms (68% of total)ival-cosu: 4.0ms (11.3% of total)ival-sub: 2.0ms (5.7% of total)ival-sqrt: 2.0ms (5.7% of total)ival-pi: 1.0ms (2.8% of total)ival-add: 1.0ms (2.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| Outputs |
|---|
(* ux (- 2 (* 2 maxCos))) |
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) |
1 |
(+ 1 (* ux (- maxCos 1))) |
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) |
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) |
(+ 1 (* ux (- (* 2 maxCos) 2))) |
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) |
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) |
(* ux (- maxCos 1)) |
(* ux (- (+ maxCos (/ 1 ux)) 1)) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) |
(* (pow ux 2) (pow (- maxCos 1) 2)) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) |
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) |
(* -1 (* ux (+ 1 (* -1 maxCos)))) |
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) |
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) |
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))) |
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4)))))) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(* 2 (* uy (PI))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))) |
(cos (* 2 (* uy (PI)))) |
(- 1 (pow (- 1 ux) 2)) |
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) |
(- 1 ux) |
(- (+ 1 (* maxCos ux)) ux) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) |
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(pow (- 1 ux) 2) |
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) |
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) |
(* -1 (* (pow maxCos 2) (pow ux 2))) |
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) |
(* maxCos ux) |
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) |
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))) |
(* (pow maxCos 2) (pow ux 2)) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) |
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | ux | @ | 0 | ((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI))) |
| 3.0ms | ux | @ | -inf | ((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI))) |
| 2.0ms | uy | @ | inf | ((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI))) |
| 2.0ms | maxCos | @ | 0 | ((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI))) |
| 2.0ms | ux | @ | inf | ((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 406 | 2229 |
| 1 | 1417 | 2116 |
| 2 | 6262 | 2098 |
| 0 | 8082 | 1994 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* ux (- 2 (* 2 maxCos))) |
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) |
1 |
(+ 1 (* ux (- maxCos 1))) |
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) |
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) |
(+ 1 (* ux (- (* 2 maxCos) 2))) |
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) |
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) |
(* ux (- maxCos 1)) |
(* ux (- (+ maxCos (/ 1 ux)) 1)) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) |
(* (pow ux 2) (pow (- maxCos 1) 2)) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) |
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) |
(* -1 (* ux (+ 1 (* -1 maxCos)))) |
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) |
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) |
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))) |
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4)))))) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(* 2 (* uy (PI))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))) |
(cos (* 2 (* uy (PI)))) |
(- 1 (pow (- 1 ux) 2)) |
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) |
(- 1 ux) |
(- (+ 1 (* maxCos ux)) ux) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) |
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(pow (- 1 ux) 2) |
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) |
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) |
(* -1 (* (pow maxCos 2) (pow ux 2))) |
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) |
(* maxCos ux) |
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) |
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))) |
(* (pow maxCos 2) (pow ux 2)) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) |
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) |
| Outputs |
|---|
(* ux (- 2 (* 2 maxCos))) |
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) |
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) |
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux) |
1 |
#s(literal 1 binary32) |
(+ 1 (* ux (- maxCos 1))) |
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) |
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) |
(*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) |
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(+ 1 (* ux (- (* 2 maxCos) 2))) |
(fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)) |
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) |
(fma.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32)) |
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) |
(*.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) |
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* ux (- maxCos 1)) |
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) |
(* ux (- (+ maxCos (/ 1 ux)) 1)) |
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) |
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) |
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))))) ux) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) |
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 ux ux)) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))))) ux) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (/.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))))))) ux) |
(* (pow ux 2) (pow (- maxCos 1) 2)) |
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) |
(*.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (*.f32 ux ux)) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) |
(*.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) |
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) |
(*.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) |
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* -1 (* ux (+ 1 (* -1 maxCos)))) |
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos)) |
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) |
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos))) |
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(*.f32 (neg.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) ux)))) (neg.f32 ux)))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal 1/16 binary32) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))))) (neg.f32 ux))) (neg.f32 ux)))) |
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) |
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux) |
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(*.f32 (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal -1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux) |
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(*.f32 (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) |
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))) |
(fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 uy uy) (*.f32 uy uy)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))))) |
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) |
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4)))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 uy uy) #s(literal 1 binary32)) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 uy uy))) (*.f32 uy uy) #s(literal 1 binary32)) |
(* 2 (* uy (PI))) |
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) |
(cos (* 2 (* uy (PI)))) |
(cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) |
(- 1 (pow (- 1 ux) 2)) |
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) |
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) |
(-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (*.f32 (*.f32 (neg.f32 ux) maxCos) ux)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(- 1 ux) |
(-.f32 #s(literal 1 binary32) ux) |
(- (+ 1 (* maxCos ux)) ux) |
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) |
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(fma.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (neg.f32 ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(fma.f32 (fma.f32 (*.f32 maxCos #s(literal -1/2 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 maxCos ux)) (*.f32 (*.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (neg.f32 ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(pow (- 1 ux) 2) |
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) |
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) |
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) |
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 maxCos ux) ux)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(* -1 (* (pow maxCos 2) (pow ux 2))) |
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux) |
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos))) (*.f32 maxCos maxCos)) |
(* maxCos ux) |
(*.f32 maxCos ux) |
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) |
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos) |
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))) |
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) maxCos) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) maxCos)) (sqrt.f32 #s(literal -1 binary32)))) maxCos) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))) |
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos) #s(literal 3 binary32)) (*.f32 ux ux)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) maxCos) |
(* (pow maxCos 2) (pow ux 2)) |
(*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) |
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) |
(*.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) |
(*.f32 (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (neg.f32 maxCos)) |
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (neg.f32 maxCos)) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 maxCos ux))) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos)) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (neg.f32 ux) (sqrt.f32 #s(literal -1 binary32))) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) (neg.f32 maxCos))) (neg.f32 maxCos)) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) |
(*.f32 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) (neg.f32 maxCos))) (*.f32 maxCos maxCos)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 75 |
| 0 | 27 | 54 |
| 1 | 115 | 54 |
| 2 | 987 | 54 |
| 0 | 8653 | 50 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| Outputs |
|---|
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) |
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32))) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) |
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) |
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32))) |
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(/.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) |
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (/.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))))) |
(-.f32 (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))) |
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux)))))) (/.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux))))))) |
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) |
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) maxCos) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) |
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) |
(-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 (neg.f32 (neg.f32 ux))) maxCos)) |
(-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 ux) maxCos)) |
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) |
(fma.f32 (neg.f32 (neg.f32 ux)) maxCos (-.f32 #s(literal 1 binary32) ux)) |
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) |
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) |
(fma.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) |
(fma.f32 #s(literal 1 binary32) (*.f32 maxCos ux) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) |
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (neg.f32 ux) maxCos)))) |
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) |
(pow.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) |
(pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) |
(fabs.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) |
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(fabs.f32 (neg.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))) |
(fabs.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))) |
(fabs.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) |
(fabs.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) |
(fabs.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) |
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(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) |
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(+.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) |
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(+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (neg.f32 ux)) |
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(+.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) |
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(+.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) |
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(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) |
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(exp.f32 (*.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))) |
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(/.f32 (+.f32 (sin.f32 (-.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (sin.f32 (+.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32)) |
(/.f32 (+.f32 (sin.f32 (-.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sin.f32 (+.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) #s(literal 2 binary32)) |
(/.f32 (+.f32 (sin.f32 (-.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (sin.f32 (+.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32)) |
(/.f32 (+.f32 (sin.f32 (-.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (asin.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (sin.f32 (+.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (asin.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #s(literal 2 binary32)) |
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(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) |
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(fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) maxCos))) |
(fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) maxCos) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (-.f32 #s(literal 1 binary32) ux)))) |
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) |
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) |
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 (neg.f32 ux) maxCos)))) |
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 (*.f32 (neg.f32 ux) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) |
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) |
(fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) |
(fma.f32 maxCos (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) |
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 (neg.f32 ux) maxCos)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 (*.f32 (neg.f32 ux) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) |
(fma.f32 ux (*.f32 maxCos (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))) |
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) |
(pow.f32 (exp.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32)) |
(pow.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) |
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) |
(fabs.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))) |
(fabs.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) |
(fabs.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) |
(fabs.f32 (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)))) |
(fabs.f32 (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) |
(fabs.f32 (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) |
(fabs.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)))) |
(fabs.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))) |
(fabs.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)))) |
(fabs.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))) |
(fabs.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) |
(fabs.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) |
(+.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) maxCos))) |
(+.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) maxCos)) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (-.f32 #s(literal 1 binary32) ux)))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) |
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) |
(+.f32 (neg.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) |
(+.f32 (neg.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (neg.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)))) |
(+.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) (+.f32 (pow.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))) (/.f32 (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 3 binary32)) (+.f32 (pow.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))) |
(+.f32 (cosh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) |
(+.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) |
(+.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) |
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 (neg.f32 ux) maxCos)))) |
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 (*.f32 (neg.f32 ux) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) |
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) |
(exp.f32 (*.f32 (log.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32))) |
(exp.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) |
(neg.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) |
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 2 binary32)) uy)) |
(*.f32 (neg.f32 (*.f32 #s(literal -2 binary32) uy)) (PI.f32)) |
(*.f32 (neg.f32 (neg.f32 uy)) (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) |
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) |
(*.f32 (*.f32 #s(literal -2 binary32) uy) (neg.f32 (PI.f32))) |
(*.f32 (neg.f32 uy) (*.f32 #s(literal -2 binary32) (PI.f32))) |
(*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal -2 binary32) uy)) |
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))) |
(*.f32 (PI.f32) (neg.f32 (*.f32 #s(literal -2 binary32) uy))) |
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)) |
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) |
(*.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32))) |
(*.f32 uy (neg.f32 (*.f32 #s(literal -2 binary32) (PI.f32)))) |
(*.f32 uy (*.f32 (PI.f32) #s(literal 2 binary32))) |
(fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy)) |
(fma.f32 (*.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.f32 (PI.f32))))) |
(fma.f32 uy (PI.f32) (*.f32 uy (PI.f32))) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.f32 (PI.f32))))) |
(+.f32 (*.f32 uy (PI.f32)) (*.f32 uy (PI.f32))) |
(+.f32 (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy)) |
(neg.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) |
Compiled 35 115 to 3 649 computations (89.6% saved)
38 alts after pruning (38 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 633 | 38 | 671 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 634 | 38 | 672 |
| Status | Accuracy | Program |
|---|---|---|
| 19.7% | (fma.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 0 binary32)) (*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 1 binary32)))) | |
| 14.9% | (/.f32 (+.f32 (sin.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (sin.f32 (+.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32)) | |
| 14.2% | (/.f32 (+.f32 (sin.f32 (-.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sin.f32 (+.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) #s(literal 2 binary32)) | |
| 24.0% | (/.f32 (+.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (-.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32)) | |
| 19.8% | (/.f32 (+.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (cos.f32 (-.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)) (asin.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #s(literal 2 binary32)) | |
| 23.9% | (/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32)) | |
| 50.9% | (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 42.1% | (*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) | |
| 51.0% | (*.f32 (cos.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.f32 (PI.f32)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 51.0% | (*.f32 (cos.f32 (fma.f32 uy (PI.f32) (*.f32 uy (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 57.6% | (*.f32 (cos.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 57.7% | (*.f32 (cos.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 17.5% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))) | |
| ▶ | 7.2% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)))) |
| 41.2% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32))))) | |
| 41.8% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) | |
| 42.4% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 57.9% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 58.0% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| ▶ | 41.2% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| ▶ | 57.8% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) |
| 57.8% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 40.1% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))) | |
| 55.4% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) | |
| 58.7% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) | |
| 57.4% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)))))) | |
| 26.8% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)))))) | |
| 41.3% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))))) | |
| 7.0% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) | |
| 18.5% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos)))))) | |
| 42.9% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)))))) | |
| 44.6% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))) | |
| 20.6% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos))))) | |
| 1.9% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) | |
| 57.5% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) | |
| ▶ | 69.8% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) |
| ▶ | 50.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| 48.6% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))) |
Compiled 2 500 to 1 568 computations (37.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) | |
| cost-diff | 1 | (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) | |
| cost-diff | 1 | (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) | |
| cost-diff | 3 | (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) | |
| cost-diff | 0 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) | |
| cost-diff | 0 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) | |
| cost-diff | 0 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)))) | |
| cost-diff | 1 | (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)) | |
| cost-diff | 0 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) | |
| cost-diff | 0 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) | |
| cost-diff | 1 | (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) | |
| cost-diff | 5 | (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) | |
| cost-diff | 0 | #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) | |
| cost-diff | 0 | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| cost-diff | 1 | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) | |
| cost-diff | 5 | (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) | |
| cost-diff | 0 | (*.f32 uy #s(literal 2 binary32)) | |
| cost-diff | 0 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) | |
| cost-diff | 0 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) | |
| cost-diff | 0 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 815 |
| 0 | 114 | 736 |
| 1 | 228 | 729 |
| 2 | 632 | 715 |
| 3 | 2410 | 715 |
| 0 | 8282 | 697 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))) |
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))) |
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) |
(-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
#s(literal -2 binary32) |
maxCos |
ux |
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) |
(-.f32 maxCos #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 ux ux) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(*.f32 (*.f32 uy uy) #s(literal -2 binary32)) |
(*.f32 uy uy) |
uy |
#s(literal -2 binary32) |
(*.f32 (PI.f32) (PI.f32)) |
(PI.f32) |
#s(literal 1 binary32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(-.f32 #s(literal 1 binary32) ux) |
ux |
(*.f32 ux maxCos) |
maxCos |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))) |
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) |
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) |
(-.f32 ux (*.f32 maxCos ux)) |
ux |
(*.f32 maxCos ux) |
maxCos |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))) |
(fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)) |
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) |
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) |
maxCos |
ux |
(-.f32 #s(literal 1 binary32) ux) |
#s(literal 1 binary32) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
#s(literal 1 binary32) |
(*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
(/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) |
(sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) |
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) |
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) |
maxCos |
ux |
(-.f32 #s(literal 1 binary32) ux) |
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) |
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) |
(pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) |
(*.f32 maxCos ux) |
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) |
(-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(*.f32 ux maxCos) |
| Outputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) |
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) uy) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))) |
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) |
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))) |
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) |
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) |
(*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
#s(literal -2 binary32) |
maxCos |
ux |
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) |
(-.f32 maxCos #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 ux ux) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32)))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32)) |
(*.f32 (*.f32 uy uy) #s(literal -2 binary32)) |
(*.f32 uy uy) |
uy |
#s(literal -2 binary32) |
(*.f32 (PI.f32) (PI.f32)) |
(PI.f32) |
#s(literal 1 binary32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) |
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) |
(-.f32 #s(literal 1 binary32) ux) |
ux |
(*.f32 ux maxCos) |
(*.f32 maxCos ux) |
maxCos |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) uy) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) |
#s(literal 1 binary32) |
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) |
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) |
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) |
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) |
(-.f32 ux (*.f32 maxCos ux)) |
ux |
(*.f32 maxCos ux) |
maxCos |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) uy) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))) |
(sqrt.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) |
(fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)) |
(+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) |
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) |
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) |
maxCos |
ux |
(-.f32 #s(literal 1 binary32) ux) |
#s(literal 1 binary32) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 (sqrt.f32 (fma.f32 (/.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) uy) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
(sqrt.f32 (fma.f32 (/.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
(fma.f32 (/.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
(*.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) |
(/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) |
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) |
(sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) |
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) |
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) |
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) |
maxCos |
ux |
(-.f32 #s(literal 1 binary32) ux) |
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) |
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) |
(pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) |
(*.f32 maxCos ux) |
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) |
(-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) |
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) |
(*.f32 ux maxCos) |
(*.f32 maxCos ux) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.43359375 | (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) | |
| accuracy | 0.44921875 | (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) | |
| accuracy | 0.7446294131090235 | (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) | |
| accuracy | 13.08797032170482 | (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) | |
| accuracy | 0.30859375 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) | |
| accuracy | 0.44921875 | (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) | |
| accuracy | 22.820098833221213 | (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)) | |
| accuracy | 28.91351458831423 | (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) | |
| accuracy | 0.14453125 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) | |
| accuracy | 0.30859375 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) | |
| accuracy | 0.44921875 | (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) | |
| accuracy | 13.08797032170482 | (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))) | |
| accuracy | 1.0 | (*.f32 (PI.f32) (PI.f32)) | |
| accuracy | 3.211025896906581 | #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) | |
| accuracy | 13.08797032170482 | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) | |
| accuracy | 28.379269698461933 | (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) | |
| accuracy | 0.14453125 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) | |
| accuracy | 0.30859375 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) | |
| accuracy | 0.3545112793053261 | (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) | |
| accuracy | 2.392675728495496 | (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
| 108.0ms | 254× | 0 | valid |
| 1.0ms | 2× | 1 | valid |
Compiled 765 to 57 computations (92.5% saved)
ival-mult: 26.0ms (30.4% of total)ival-sub: 17.0ms (19.9% of total)ival-add: 16.0ms (18.7% of total)ival-pow2: 9.0ms (10.5% of total)ival-sqrt: 9.0ms (10.5% of total)ival-cosu: 4.0ms (4.7% of total)ival-div: 3.0ms (3.5% of total)ival-pi: 1.0ms (1.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) |
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) |
(fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)))) |
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
(-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) |
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
(*.f32 (PI.f32) (PI.f32)) |
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))) |
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) |
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) |
(*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) |
| Outputs |
|---|
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) |
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) |
1 |
(+ 1 (* ux (- (* 2 maxCos) 2))) |
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) |
(+ 1 (* ux (- maxCos 1))) |
(+ 1 (* -2 (* ux (- 1 maxCos)))) |
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2))))) |
-1 |
(- (* ux (- 1 maxCos)) 1) |
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3))))))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5))))))))) |
2 |
(+ 2 (* ux (- (* 2 maxCos) 2))) |
(+ 2 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) |
(* (cos (* 2 (* uy (PI)))) (sqrt 2)) |
(+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2))) (sqrt 2))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(+ (* ux (+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (sqrt 2))))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(+ (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (sqrt 2))) (* ux (+ (* -1/4 (/ (* ux (* (cos (* 2 (* uy (PI)))) (* (- (* 2 maxCos) 2) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2))))))) (pow (sqrt 2) 3))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2))))) (sqrt 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(+ 1 (* ux (- maxCos 3))) |
(+ 1 (* ux (- (+ maxCos (* ux (- (+ 1 (* -2 (- maxCos 1))) (pow maxCos 2)))) 3))) |
(+ 1 (* ux (- (+ maxCos (* ux (- (+ 1 (+ (* -2 (- maxCos 1)) (* ux (* (- 1 (pow maxCos 2)) (- maxCos 1))))) (pow maxCos 2)))) 3))) |
(* -1/2 (* ux (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) |
(* ux (- (* -1/2 (* ux (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))) |
(* ux (- (* ux (- (* -1/2 (* ux (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))))) (* 1/2 (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2))))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))) |
(* ux (- (* ux (- (* ux (- (* -1/2 (* ux (- (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2)))))))) (+ (* 1/4 (pow (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) 2)) (* 1/2 (* (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))))))))))) (* 1/2 (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))))))) (* 1/2 (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2))))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))) |
(+ 1 (* -1 (* ux (+ 1 maxCos)))) |
(* ux (+ 2 (* -2 maxCos))) |
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))) |
(* ux (- 2 (* 2 maxCos))) |
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) |
(* 2 (* ux (- 1 maxCos))) |
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos)))) |
(+ 1 (* 1/2 (* ux (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))) |
(+ 1 (* ux (+ (* 1/2 (* ux (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))) |
(+ 1 (* ux (+ (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))) (* ux (+ (* 1/2 (* ux (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))))) (* 1/2 (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))))))))) |
(+ 1 (* -2 ux)) |
(+ 1 (* ux (- ux 2))) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) |
(* (pow ux 2) (pow (- maxCos 1) 2)) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) |
(* ux (- maxCos 1)) |
(* ux (- (+ maxCos (/ 1 ux)) 1)) |
(* (pow ux 2) (pow (- 1 maxCos) 2)) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2)))) |
(* ux (- 1 maxCos)) |
(* ux (- 1 (+ maxCos (/ 1 ux)))) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos)))) |
(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 2 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) |
(* ux (* (cos (* 2 (* uy (PI)))) (- maxCos 1))) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (- maxCos 1)))) (* (cos (* 2 (* uy (PI)))) (- maxCos 1)))) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (- maxCos 1) 2))))) (* (pow ux 2) (- maxCos 1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (- maxCos 1)))) (* (cos (* 2 (* uy (PI)))) (- maxCos 1))))) |
(* ux (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (- 2 (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (- maxCos 1) 2)))) (- (* 2 maxCos) 2))) (* (pow ux 3) (pow (- maxCos 1) 3)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (- maxCos 1) 2))))) (* (pow ux 2) (- maxCos 1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (- maxCos 1)))) (* (cos (* 2 (* uy (PI)))) (- maxCos 1)))))) |
(* (pow ux 3) (* (- 1 (pow maxCos 2)) (- maxCos 1))) |
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (/ 1 ux))) (/ (pow maxCos 2) ux))) |
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ (/ 1 ux) (/ maxCos (pow ux 2))))) (+ (/ 3 (pow ux 2)) (/ (pow maxCos 2) ux)))) |
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ (/ 1 ux) (+ (/ 1 (pow ux 3)) (/ maxCos (pow ux 2)))))) (+ (/ 3 (pow ux 2)) (/ (pow maxCos 2) ux)))) |
(* -1 (* (* (pow ux 2) (sqrt -1)) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))) |
(* (pow ux 2) (- (* -1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))) |
(* (pow ux 2) (- (/ 1 (pow ux 2)) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))))) |
(* (pow ux 2) (- (+ (* -1/2 (* (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (pow maxCos 2)) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos)))) (+ 1 maxCos))) (* 1/2 (/ (* (+ 1 maxCos) (* (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))))) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 3) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (/ 1 (pow ux 2))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))))) |
(* -1 (* ux (+ 1 maxCos))) |
(* ux (- (/ 1 ux) (+ 1 maxCos))) |
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) |
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) |
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2))) |
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(* (* (pow ux 2) (sqrt -1)) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))) |
(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))) |
(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))))) |
(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (pow maxCos 2)) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos)))) (+ 1 maxCos))) (* 1/2 (/ (* (+ 1 maxCos) (* (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))))) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 3) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))))) |
(pow ux 2) |
(* (pow ux 2) (- 1 (* 2 (/ 1 ux)))) |
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) |
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) |
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(* -1 (* ux (+ 1 (* -1 maxCos)))) |
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) |
(* ux (+ 1 (* -1 maxCos))) |
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos))))) |
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (* 2 (/ 1 ux))) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos))))) |
(* -1 (* ux (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (+ 1 (* -1 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos)))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2))))) (* ux (+ 1 (* -1 maxCos))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (+ 1 (* -1 maxCos))))) ux)) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos)))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ 2 (* -2 maxCos)) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2)))))) (* ux (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2))))) (+ 1 (* -1 maxCos))))) ux)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (+ 1 (* -1 maxCos))))) ux)) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos)))))) |
(* -1 (* (pow ux 3) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))) |
(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (* 2 (+ 1 (* -1 maxCos)))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) |
(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ 3 (* -1 maxCos)) ux)) (* 2 (+ 1 (* -1 maxCos))))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) |
(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 3 (* -1 maxCos)) (/ 1 ux)) ux)) (* 2 (+ 1 (* -1 maxCos))))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) |
(* -1 (* (pow ux 2) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))) |
(* (pow ux 2) (- (* 1/2 (* (/ (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))) |
(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))) |
(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* 1/2 (* (/ (- (+ (* 2 (/ (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 3))) (+ (/ 1 (- 1 (* -1 maxCos))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (- 1 (* -1 maxCos))) (+ (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 2) (- 1 (* -1 maxCos)))))))) (+ (* 1/2 (/ (* (- 1 (* -1 maxCos)) (* (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (pow (- 1 (* -1 maxCos)) 2))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 4)) (+ (/ (pow maxCos 2) (- 1 (* -1 maxCos))) (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2)))))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2)))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))) |
(* -1 (* ux (- 1 (* -1 maxCos)))) |
(* -1 (* ux (- 1 (+ (* -1 maxCos) (/ 1 ux))))) |
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))) |
(* (pow ux 2) (+ (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (* -1/2 (* (/ (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))))) |
(* (pow ux 2) (+ (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (* -1 (/ (+ (* -1/2 (* (/ (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)))) |
(* (pow ux 2) (+ (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (+ (* 2 (/ (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 3))) (+ (/ 1 (- 1 (* -1 maxCos))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (- 1 (* -1 maxCos))) (+ (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 2) (- 1 (* -1 maxCos)))))))) (+ (* 1/2 (/ (* (- 1 (* -1 maxCos)) (* (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (pow (- 1 (* -1 maxCos)) 2))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 4)) (+ (/ (pow maxCos 2) (- 1 (* -1 maxCos))) (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2)))))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)))) |
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux)))) |
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))) |
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4)))))) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(* 2 (* uy (PI))) |
(* 2 uy) |
(sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))) |
(sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) |
(+ (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) |
(+ (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))) |
(+ (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))) |
(cos (* 2 (* uy (PI)))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))) |
(* -2 (* (pow uy 2) (pow (PI) 2))) |
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2)))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) |
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(pow (- 1 ux) 2) |
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) |
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) |
(- 1 ux) |
(- (+ 1 (* maxCos ux)) ux) |
(pow (- ux 1) 2) |
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2)) |
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2)) |
(- ux 1) |
(- (+ ux (* -1 (* maxCos ux))) 1) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) |
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) |
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(+ 1 (pow (- 1 ux) 2)) |
(+ 1 (+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))) |
(+ 1 (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2)))) |
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2)))))) |
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2)))))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2)))))))) (sqrt (/ 1 (pow (+ 1 (pow (- 1 ux) 2)) 3))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2))))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2)))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2))))) |
(pow (- 1 ux) 3) |
(+ (* maxCos (* ux (pow (- 1 ux) 2))) (pow (- 1 ux) 3)) |
(+ (* maxCos (+ (* -1 (* maxCos (* (pow ux 2) (- 1 ux)))) (* ux (pow (- 1 ux) 2)))) (pow (- 1 ux) 3)) |
(+ (* maxCos (+ (* maxCos (+ (* -1 (* maxCos (pow ux 3))) (* -1 (* (pow ux 2) (- 1 ux))))) (* ux (pow (- 1 ux) 2)))) (pow (- 1 ux) 3)) |
(- 1 (pow (- 1 ux) 2)) |
(- (+ 1 (* -1/2 (/ (* maxCos (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (pow (- 1 ux) 2)))) (pow (- 1 ux) 2)) |
(- (+ 1 (* maxCos (- (* -1/2 (/ (* maxCos (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2)))))) (pow (- 1 ux) 2)) |
(- (+ 1 (* maxCos (- (* maxCos (- (* -1/2 (/ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2)))) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (+ (* -1 (/ (* ux (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))))) (- 1 ux))) (* 1/2 (/ (* (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4))))) (pow (- 1 ux) 2))))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2)))))) (pow (- 1 ux) 2)) |
(- (+ 1 (* -1 (* maxCos ux))) ux) |
(+ 2 (* -2 maxCos)) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) |
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) |
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) |
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) |
(- 1 (pow (- ux 1) 2)) |
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2)) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2)) |
(+ (* 1/2 (/ (* maxCos (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (pow (- 1 ux) 2))) (pow (- 1 ux) 2)) |
(+ (* maxCos (+ (* 1/2 (/ (* maxCos (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2))))) (pow (- 1 ux) 2)) |
(+ (* maxCos (+ (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2))) (* maxCos (+ (* 1/2 (/ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2)))) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (+ (* -1 (/ (* ux (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))))) (- 1 ux))) (* 1/2 (/ (* (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4))))) (pow (- 1 ux) 2))))))) (pow (- 1 ux) 2)) |
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))) |
(* (pow maxCos 2) (pow ux 2)) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) |
(* maxCos ux) |
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))) |
(* -1 (* maxCos ux)) |
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos)))) |
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))) |
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) |
(* maxCos (* ux (cos (* 2 (* uy (PI)))))) |
(* maxCos (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos))) |
(* maxCos (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow maxCos 2) ux))) (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos)))) |
(* maxCos (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow maxCos 2) ux))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (/ 1 ux))) (* (pow maxCos 3) ux))) (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos))))) |
(* -1 (* (pow maxCos 3) (pow ux 3))) |
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (* -1 (pow ux 3)))) |
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (+ (* -1 (pow ux 3)) (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2))))) |
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (+ (* -1 (pow ux 3)) (+ (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2)) (/ (pow (- 1 ux) 3) (pow maxCos 3)))))) |
(* -1 (* (pow maxCos 2) (pow ux 2))) |
(* (pow maxCos 2) (- (* -1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))))) |
(* (pow maxCos 2) (- (+ (* -1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 3))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)))) ux)) (* 1/2 (/ (* (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) (pow ux 4))))) (* (pow maxCos 3) (pow ux 2)))) (/ 1 (pow maxCos 2))) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))))) |
(* maxCos (- (/ 1 maxCos) (+ ux (/ ux maxCos)))) |
(* -2 maxCos) |
(* maxCos (- (* 2 (/ 1 maxCos)) 2)) |
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos))) |
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2))))) |
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) |
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))) |
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))) |
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))) |
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 3))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)))) ux)) (* 1/2 (/ (* (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) (pow ux 4))))) (* (pow maxCos 3) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))))) |
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux)))) |
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (+ 1 (pow (- 1 ux) 2)) maxCos))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (* ux (cos (* 2 (* uy (PI))))))) |
(* -1 (* maxCos (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos)))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* maxCos ux)))) maxCos)) (* ux (cos (* 2 (* uy (PI)))))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (pow ux 2)))) (* 1/2 (/ (cos (* 2 (* uy (PI)))) ux))) maxCos))) maxCos)) (* ux (cos (* 2 (* uy (PI)))))))) |
(* -1 (* (pow maxCos 3) (+ (/ (* (pow ux 2) (- 1 ux)) maxCos) (pow ux 3)))) |
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (/ (* ux (pow (- 1 ux) 2)) maxCos)) maxCos)) (pow ux 3)))) |
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* -1 (/ (+ (* -1 (* ux (pow (- 1 ux) 2))) (* -1 (/ (pow (- 1 ux) 3) maxCos))) maxCos))) maxCos)) (pow ux 3)))) |
(* (pow maxCos 2) (- (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 2)))) (pow ux 2))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* 1/2 (/ (- (+ (* -1 (* ux (pow (- 1 ux) 3))) (/ (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2)) ux)) (+ (* 1/2 (/ (* (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux)))) (pow ux 4))) (/ (* (- 1 ux) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) ux))) (* maxCos (pow ux 2))))) (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (- (* -1 (/ (- 1 ux) maxCos)) (* -1 ux)))) |
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos))))) |
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2)))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2)))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* -1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 2)))) (pow ux 2))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (* maxCos (pow ux 2)))) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* ux (pow (- 1 ux) 3))) (/ (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2)) ux)) (+ (* 1/2 (/ (* (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux)))) (pow ux 4))) (/ (* (- 1 ux) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) ux))) (* maxCos (pow ux 2)))) (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | maxCos | @ | inf | ((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (- (- ux (* maxCos ux)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2))) (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (- (- 1 ux) (* maxCos ux)) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (+ (* maxCos ux) (- 1 ux)) (pow (+ (* maxCos ux) (- 1 ux)) 2) (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (pow (- 1 ux) 2)) |
| 14.0ms | ux | @ | 0 | ((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (- (- ux (* maxCos ux)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2))) (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (- (- 1 ux) (* maxCos ux)) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (+ (* maxCos ux) (- 1 ux)) (pow (+ (* maxCos ux) (- 1 ux)) 2) (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (pow (- 1 ux) 2)) |
| 11.0ms | ux | @ | -inf | ((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (- (- ux (* maxCos ux)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2))) (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (- (- 1 ux) (* maxCos ux)) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (+ (* maxCos ux) (- 1 ux)) (pow (+ (* maxCos ux) (- 1 ux)) 2) (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (pow (- 1 ux) 2)) |
| 10.0ms | maxCos | @ | 0 | ((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (- (- ux (* maxCos ux)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2))) (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (- (- 1 ux) (* maxCos ux)) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (+ (* maxCos ux) (- 1 ux)) (pow (+ (* maxCos ux) (- 1 ux)) 2) (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (pow (- 1 ux) 2)) |
| 9.0ms | ux | @ | inf | ((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (- (- ux (* maxCos ux)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2))) (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (- (- 1 ux) (* maxCos ux)) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (+ (* maxCos ux) (- 1 ux)) (pow (+ (* maxCos ux) (- 1 ux)) 2) (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (pow (- 1 ux) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1541 | 15785 |
| 1 | 5403 | 15382 |
| 0 | 8056 | 14699 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) |
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) |
1 |
(+ 1 (* ux (- (* 2 maxCos) 2))) |
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) |
(+ 1 (* ux (- maxCos 1))) |
(+ 1 (* -2 (* ux (- 1 maxCos)))) |
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2))))) |
-1 |
(- (* ux (- 1 maxCos)) 1) |
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3))))))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5))))))))) |
2 |
(+ 2 (* ux (- (* 2 maxCos) 2))) |
(+ 2 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) |
(* (cos (* 2 (* uy (PI)))) (sqrt 2)) |
(+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2))) (sqrt 2))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(+ (* ux (+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (sqrt 2))))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(+ (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (sqrt 2))) (* ux (+ (* -1/4 (/ (* ux (* (cos (* 2 (* uy (PI)))) (* (- (* 2 maxCos) 2) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2))))))) (pow (sqrt 2) 3))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2))))) (sqrt 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(+ 1 (* ux (- maxCos 3))) |
(+ 1 (* ux (- (+ maxCos (* ux (- (+ 1 (* -2 (- maxCos 1))) (pow maxCos 2)))) 3))) |
(+ 1 (* ux (- (+ maxCos (* ux (- (+ 1 (+ (* -2 (- maxCos 1)) (* ux (* (- 1 (pow maxCos 2)) (- maxCos 1))))) (pow maxCos 2)))) 3))) |
(* -1/2 (* ux (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) |
(* ux (- (* -1/2 (* ux (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))) |
(* ux (- (* ux (- (* -1/2 (* ux (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))))) (* 1/2 (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2))))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))) |
(* ux (- (* ux (- (* ux (- (* -1/2 (* ux (- (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2)))))))) (+ (* 1/4 (pow (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) 2)) (* 1/2 (* (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))))))))))) (* 1/2 (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))))))) (* 1/2 (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2))))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))) |
(+ 1 (* -1 (* ux (+ 1 maxCos)))) |
(* ux (+ 2 (* -2 maxCos))) |
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))) |
(* ux (- 2 (* 2 maxCos))) |
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) |
(* 2 (* ux (- 1 maxCos))) |
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos)))) |
(+ 1 (* 1/2 (* ux (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))) |
(+ 1 (* ux (+ (* 1/2 (* ux (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))) |
(+ 1 (* ux (+ (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))) (* ux (+ (* 1/2 (* ux (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))))) (* 1/2 (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))))))))) |
(+ 1 (* -2 ux)) |
(+ 1 (* ux (- ux 2))) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) |
(* (pow ux 2) (pow (- maxCos 1) 2)) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) |
(* ux (- maxCos 1)) |
(* ux (- (+ maxCos (/ 1 ux)) 1)) |
(* (pow ux 2) (pow (- 1 maxCos) 2)) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2)))) |
(* ux (- 1 maxCos)) |
(* ux (- 1 (+ maxCos (/ 1 ux)))) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos)))) |
(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 2 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) |
(* ux (* (cos (* 2 (* uy (PI)))) (- maxCos 1))) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (- maxCos 1)))) (* (cos (* 2 (* uy (PI)))) (- maxCos 1)))) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (- maxCos 1) 2))))) (* (pow ux 2) (- maxCos 1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (- maxCos 1)))) (* (cos (* 2 (* uy (PI)))) (- maxCos 1))))) |
(* ux (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (- 2 (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (- maxCos 1) 2)))) (- (* 2 maxCos) 2))) (* (pow ux 3) (pow (- maxCos 1) 3)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (- maxCos 1) 2))))) (* (pow ux 2) (- maxCos 1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (- maxCos 1)))) (* (cos (* 2 (* uy (PI)))) (- maxCos 1)))))) |
(* (pow ux 3) (* (- 1 (pow maxCos 2)) (- maxCos 1))) |
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (/ 1 ux))) (/ (pow maxCos 2) ux))) |
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ (/ 1 ux) (/ maxCos (pow ux 2))))) (+ (/ 3 (pow ux 2)) (/ (pow maxCos 2) ux)))) |
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ (/ 1 ux) (+ (/ 1 (pow ux 3)) (/ maxCos (pow ux 2)))))) (+ (/ 3 (pow ux 2)) (/ (pow maxCos 2) ux)))) |
(* -1 (* (* (pow ux 2) (sqrt -1)) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))) |
(* (pow ux 2) (- (* -1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))) |
(* (pow ux 2) (- (/ 1 (pow ux 2)) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))))) |
(* (pow ux 2) (- (+ (* -1/2 (* (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (pow maxCos 2)) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos)))) (+ 1 maxCos))) (* 1/2 (/ (* (+ 1 maxCos) (* (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))))) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 3) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (/ 1 (pow ux 2))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))))) |
(* -1 (* ux (+ 1 maxCos))) |
(* ux (- (/ 1 ux) (+ 1 maxCos))) |
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) |
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) |
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2))) |
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(* (* (pow ux 2) (sqrt -1)) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))) |
(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))) |
(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))))) |
(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (pow maxCos 2)) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos)))) (+ 1 maxCos))) (* 1/2 (/ (* (+ 1 maxCos) (* (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))))) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 3) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))))) |
(pow ux 2) |
(* (pow ux 2) (- 1 (* 2 (/ 1 ux)))) |
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) |
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) |
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(* -1 (* ux (+ 1 (* -1 maxCos)))) |
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) |
(* ux (+ 1 (* -1 maxCos))) |
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos))))) |
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (* 2 (/ 1 ux))) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos))))) |
(* -1 (* ux (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (+ 1 (* -1 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos)))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2))))) (* ux (+ 1 (* -1 maxCos))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (+ 1 (* -1 maxCos))))) ux)) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos)))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ 2 (* -2 maxCos)) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2)))))) (* ux (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2))))) (+ 1 (* -1 maxCos))))) ux)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (+ 1 (* -1 maxCos))))) ux)) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos)))))) |
(* -1 (* (pow ux 3) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))) |
(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (* 2 (+ 1 (* -1 maxCos)))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) |
(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ 3 (* -1 maxCos)) ux)) (* 2 (+ 1 (* -1 maxCos))))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) |
(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 3 (* -1 maxCos)) (/ 1 ux)) ux)) (* 2 (+ 1 (* -1 maxCos))))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) |
(* -1 (* (pow ux 2) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))) |
(* (pow ux 2) (- (* 1/2 (* (/ (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))) |
(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))) |
(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* 1/2 (* (/ (- (+ (* 2 (/ (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 3))) (+ (/ 1 (- 1 (* -1 maxCos))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (- 1 (* -1 maxCos))) (+ (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 2) (- 1 (* -1 maxCos)))))))) (+ (* 1/2 (/ (* (- 1 (* -1 maxCos)) (* (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (pow (- 1 (* -1 maxCos)) 2))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 4)) (+ (/ (pow maxCos 2) (- 1 (* -1 maxCos))) (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2)))))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2)))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))) |
(* -1 (* ux (- 1 (* -1 maxCos)))) |
(* -1 (* ux (- 1 (+ (* -1 maxCos) (/ 1 ux))))) |
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))) |
(* (pow ux 2) (+ (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (* -1/2 (* (/ (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))))) |
(* (pow ux 2) (+ (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (* -1 (/ (+ (* -1/2 (* (/ (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)))) |
(* (pow ux 2) (+ (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (+ (* 2 (/ (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 3))) (+ (/ 1 (- 1 (* -1 maxCos))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (- 1 (* -1 maxCos))) (+ (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 2) (- 1 (* -1 maxCos)))))))) (+ (* 1/2 (/ (* (- 1 (* -1 maxCos)) (* (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (pow (- 1 (* -1 maxCos)) 2))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 4)) (+ (/ (pow maxCos 2) (- 1 (* -1 maxCos))) (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2)))))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)))) |
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux)))) |
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))) |
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4)))))) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(* 2 (* uy (PI))) |
(* 2 uy) |
(sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))) |
(sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) |
(+ (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) |
(+ (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))) |
(+ (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))) |
(cos (* 2 (* uy (PI)))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))) |
(* -2 (* (pow uy 2) (pow (PI) 2))) |
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2)))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) |
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(pow (- 1 ux) 2) |
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) |
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) |
(- 1 ux) |
(- (+ 1 (* maxCos ux)) ux) |
(pow (- ux 1) 2) |
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2)) |
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2)) |
(- ux 1) |
(- (+ ux (* -1 (* maxCos ux))) 1) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) |
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) |
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(+ 1 (pow (- 1 ux) 2)) |
(+ 1 (+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))) |
(+ 1 (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2)))) |
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2)))))) |
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2)))))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2)))))))) (sqrt (/ 1 (pow (+ 1 (pow (- 1 ux) 2)) 3))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2))))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2)))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2))))) |
(pow (- 1 ux) 3) |
(+ (* maxCos (* ux (pow (- 1 ux) 2))) (pow (- 1 ux) 3)) |
(+ (* maxCos (+ (* -1 (* maxCos (* (pow ux 2) (- 1 ux)))) (* ux (pow (- 1 ux) 2)))) (pow (- 1 ux) 3)) |
(+ (* maxCos (+ (* maxCos (+ (* -1 (* maxCos (pow ux 3))) (* -1 (* (pow ux 2) (- 1 ux))))) (* ux (pow (- 1 ux) 2)))) (pow (- 1 ux) 3)) |
(- 1 (pow (- 1 ux) 2)) |
(- (+ 1 (* -1/2 (/ (* maxCos (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (pow (- 1 ux) 2)))) (pow (- 1 ux) 2)) |
(- (+ 1 (* maxCos (- (* -1/2 (/ (* maxCos (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2)))))) (pow (- 1 ux) 2)) |
(- (+ 1 (* maxCos (- (* maxCos (- (* -1/2 (/ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2)))) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (+ (* -1 (/ (* ux (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))))) (- 1 ux))) (* 1/2 (/ (* (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4))))) (pow (- 1 ux) 2))))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2)))))) (pow (- 1 ux) 2)) |
(- (+ 1 (* -1 (* maxCos ux))) ux) |
(+ 2 (* -2 maxCos)) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) |
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) |
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) |
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) |
(- 1 (pow (- ux 1) 2)) |
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2)) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2)) |
(+ (* 1/2 (/ (* maxCos (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (pow (- 1 ux) 2))) (pow (- 1 ux) 2)) |
(+ (* maxCos (+ (* 1/2 (/ (* maxCos (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2))))) (pow (- 1 ux) 2)) |
(+ (* maxCos (+ (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2))) (* maxCos (+ (* 1/2 (/ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2)))) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (+ (* -1 (/ (* ux (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))))) (- 1 ux))) (* 1/2 (/ (* (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4))))) (pow (- 1 ux) 2))))))) (pow (- 1 ux) 2)) |
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))) |
(* (pow maxCos 2) (pow ux 2)) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) |
(* maxCos ux) |
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))) |
(* -1 (* maxCos ux)) |
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos)))) |
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))) |
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) |
(* maxCos (* ux (cos (* 2 (* uy (PI)))))) |
(* maxCos (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos))) |
(* maxCos (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow maxCos 2) ux))) (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos)))) |
(* maxCos (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow maxCos 2) ux))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (/ 1 ux))) (* (pow maxCos 3) ux))) (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos))))) |
(* -1 (* (pow maxCos 3) (pow ux 3))) |
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (* -1 (pow ux 3)))) |
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (+ (* -1 (pow ux 3)) (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2))))) |
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (+ (* -1 (pow ux 3)) (+ (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2)) (/ (pow (- 1 ux) 3) (pow maxCos 3)))))) |
(* -1 (* (pow maxCos 2) (pow ux 2))) |
(* (pow maxCos 2) (- (* -1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))))) |
(* (pow maxCos 2) (- (+ (* -1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 3))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)))) ux)) (* 1/2 (/ (* (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) (pow ux 4))))) (* (pow maxCos 3) (pow ux 2)))) (/ 1 (pow maxCos 2))) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))))) |
(* maxCos (- (/ 1 maxCos) (+ ux (/ ux maxCos)))) |
(* -2 maxCos) |
(* maxCos (- (* 2 (/ 1 maxCos)) 2)) |
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos))) |
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2))))) |
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) |
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))) |
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))) |
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))) |
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 3))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)))) ux)) (* 1/2 (/ (* (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) (pow ux 4))))) (* (pow maxCos 3) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))))) |
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux)))) |
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (+ 1 (pow (- 1 ux) 2)) maxCos))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (* ux (cos (* 2 (* uy (PI))))))) |
(* -1 (* maxCos (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos)))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* maxCos ux)))) maxCos)) (* ux (cos (* 2 (* uy (PI)))))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (pow ux 2)))) (* 1/2 (/ (cos (* 2 (* uy (PI)))) ux))) maxCos))) maxCos)) (* ux (cos (* 2 (* uy (PI)))))))) |
(* -1 (* (pow maxCos 3) (+ (/ (* (pow ux 2) (- 1 ux)) maxCos) (pow ux 3)))) |
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (/ (* ux (pow (- 1 ux) 2)) maxCos)) maxCos)) (pow ux 3)))) |
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* -1 (/ (+ (* -1 (* ux (pow (- 1 ux) 2))) (* -1 (/ (pow (- 1 ux) 3) maxCos))) maxCos))) maxCos)) (pow ux 3)))) |
(* (pow maxCos 2) (- (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 2)))) (pow ux 2))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* 1/2 (/ (- (+ (* -1 (* ux (pow (- 1 ux) 3))) (/ (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2)) ux)) (+ (* 1/2 (/ (* (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux)))) (pow ux 4))) (/ (* (- 1 ux) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) ux))) (* maxCos (pow ux 2))))) (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (- (* -1 (/ (- 1 ux) maxCos)) (* -1 ux)))) |
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos))))) |
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2)))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2)))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* -1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 2)))) (pow ux 2))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (* maxCos (pow ux 2)))) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* ux (pow (- 1 ux) 3))) (/ (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2)) ux)) (+ (* 1/2 (/ (* (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux)))) (pow ux 4))) (/ (* (- 1 ux) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) ux))) (* maxCos (pow ux 2)))) (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2))) |
| Outputs |
|---|
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) |
(*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) |
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))) |
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) #s(literal -1/16 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) #s(literal -1/8 binary32))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* ux (- (* 2 maxCos) 2))) |
(fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)) |
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) |
(fma.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32)) |
(+ 1 (* ux (- maxCos 1))) |
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) |
(+ 1 (* -2 (* ux (- 1 maxCos)))) |
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32)) |
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2))))) |
(fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32))) ux #s(literal 1 binary32)) |
-1 |
#s(literal -1 binary32) |
(- (* ux (- 1 maxCos)) 1) |
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 1 binary32)) |
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) |
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32)))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) ux))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 7 binary32)) ux))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* ux (- (* 2 maxCos) 2))) |
(fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 2 binary32)) |
(+ 2 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) |
(fma.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 2 binary32)) |
(* (cos (* 2 (* uy (PI)))) (sqrt 2)) |
(*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) |
(+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2))) (sqrt 2))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(fma.f32 (*.f32 ux (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal 2 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* ux (+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (sqrt 2))))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (/.f32 (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 #s(literal 2 binary32)))) ux (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (sqrt 2))) (* ux (+ (* -1/4 (/ (* ux (* (cos (* 2 (* uy (PI)))) (* (- (* 2 maxCos) 2) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2))))))) (pow (sqrt 2) 3))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2))))) (sqrt 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (/.f32 (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (/.f32 (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 #s(literal 2 binary32)))) #s(literal 1/2 binary32))) ux (*.f32 (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32))) ux (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ 1 (* ux (- maxCos 3))) |
(fma.f32 (-.f32 maxCos #s(literal 3 binary32)) ux #s(literal 1 binary32)) |
(+ 1 (* ux (- (+ maxCos (* ux (- (+ 1 (* -2 (- maxCos 1))) (pow maxCos 2)))) 3))) |
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(+ 1 (* ux (- (+ maxCos (* ux (- (+ 1 (+ (* -2 (- maxCos 1)) (* ux (* (- 1 (pow maxCos 2)) (- maxCos 1))))) (pow maxCos 2)))) 3))) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 maxCos maxCos)) ux maxCos) #s(literal 3 binary32)) ux #s(literal 1 binary32)) |
(* -1/2 (* ux (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) |
(*.f32 (*.f32 #s(literal -1/2 binary32) ux) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos)))) |
(* ux (- (* -1/2 (* ux (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))) |
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(* ux (- (* ux (- (* -1/2 (* ux (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))))) (* 1/2 (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2))))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))) |
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(* ux (- (* ux (- (* ux (- (* -1/2 (* ux (- (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2)))))))) (+ (* 1/4 (pow (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) 2)) (* 1/2 (* (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))))))))))) (* 1/2 (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))))))) (* 1/2 (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2))))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) ux) (-.f32 (+.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (*.f32 (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (-.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 (*.f32 maxCos maxCos) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32))))) (+.f32 maxCos #s(literal 1 binary32)))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 1/2 binary32)) (-.f32 (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 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#s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 maxCos maxCos))) #s(literal 2 binary32)) #s(literal 1/4 binary32)))) (*.f32 #s(literal -1/2 binary32) (-.f32 (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (-.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 (*.f32 maxCos maxCos) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32))))) (+.f32 maxCos #s(literal 1 binary32)))) (*.f32 (*.f32 (-.f32 (+.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 maxCos maxCos))) #s(literal 1/2 binary32)) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))))))) ux (*.f32 #s(literal -1/2 binary32) (-.f32 (+.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 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(+ 1 (* -1 (* ux (+ 1 maxCos)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)) |
(* ux (+ 2 (* -2 maxCos))) |
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) |
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))) |
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux) |
(* ux (- 2 (* 2 maxCos))) |
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) |
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) |
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux) |
(* 2 (* ux (- 1 maxCos))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) |
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos)))) |
(*.f32 (fma.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))) ux) |
(+ 1 (* 1/2 (* ux (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) ux) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 1 binary32)) |
(+ 1 (* ux (+ (* 1/2 (* ux (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 (+.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 maxCos maxCos))) ux (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))))) ux #s(literal 1 binary32)) |
(+ 1 (* ux (+ (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))) (* ux (+ (* 1/2 (* ux (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))))) (* 1/2 (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (-.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 (*.f32 maxCos maxCos) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32))))) (+.f32 maxCos #s(literal 1 binary32)))) (*.f32 (*.f32 (-.f32 (+.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 maxCos maxCos))) #s(literal 1/2 binary32)) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))))) ux (-.f32 (+.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 maxCos maxCos))))) ux (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 1/2 binary32))) ux #s(literal 1 binary32)) |
(+ 1 (* -2 ux)) |
(fma.f32 #s(literal -2 binary32) ux #s(literal 1 binary32)) |
(+ 1 (* ux (- ux 2))) |
(fma.f32 (-.f32 ux #s(literal 2 binary32)) ux #s(literal 1 binary32)) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)))) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32)))) ux) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))))) ux) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32)))))) ux) |
(* (pow ux 2) (pow (- maxCos 1) 2)) |
(*.f32 (*.f32 ux ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) |
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) |
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) |
(* ux (- maxCos 1)) |
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) |
(* ux (- (+ maxCos (/ 1 ux)) 1)) |
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) |
(* (pow ux 2) (pow (- 1 maxCos) 2)) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 ux ux)) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2)))) |
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (*.f32 ux ux)) |
(* ux (- 1 maxCos)) |
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) |
(* ux (- 1 (+ maxCos (/ 1 ux)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos)))) |
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) |
(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))) |
(*.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) ux) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) ux) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) ux) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 2 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) |
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) |
(* ux (* (cos (* 2 (* uy (PI)))) (- maxCos 1))) |
(*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (- maxCos 1)))) (* (cos (* 2 (* uy (PI)))) (- maxCos 1)))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) ux) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (- maxCos 1) 2))))) (* (pow ux 2) (- maxCos 1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (- maxCos 1)))) (* (cos (* 2 (* uy (PI)))) (- maxCos 1))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 ux ux) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) ux) |
(* ux (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (- 2 (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (- maxCos 1) 2)))) (- (* 2 maxCos) 2))) (* (pow ux 3) (pow (- maxCos 1) 3)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (- maxCos 1) 2))))) (* (pow ux 2) (- maxCos 1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (- maxCos 1)))) (* (cos (* 2 (* uy (PI)))) (- maxCos 1)))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32))) #s(literal -1/4 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 ux ux) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))) ux) |
(* (pow ux 3) (* (- 1 (pow maxCos 2)) (- maxCos 1))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (pow.f32 ux #s(literal 3 binary32))) |
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (/ 1 ux))) (/ (pow maxCos 2) ux))) |
(*.f32 (-.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 maxCos maxCos) ux)) (pow.f32 ux #s(literal 3 binary32))) |
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ (/ 1 ux) (/ maxCos (pow ux 2))))) (+ (/ 3 (pow ux 2)) (/ (pow maxCos 2) ux)))) |
(*.f32 (-.f32 (-.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (/.f32 maxCos (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux)))) (/.f32 #s(literal 3 binary32) (*.f32 ux ux))) (/.f32 (*.f32 maxCos maxCos) ux)) (pow.f32 ux #s(literal 3 binary32))) |
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ (/ 1 ux) (+ (/ 1 (pow ux 3)) (/ maxCos (pow ux 2)))))) (+ (/ 3 (pow ux 2)) (/ (pow maxCos 2) ux)))) |
(*.f32 (-.f32 (-.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 maxCos (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) ux)))) (/.f32 #s(literal 3 binary32) (*.f32 ux ux))) (/.f32 (*.f32 maxCos maxCos) ux)) (pow.f32 ux #s(literal 3 binary32))) |
(* -1 (* (* (pow ux 2) (sqrt -1)) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))) |
(*.f32 (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 ux ux))) (sqrt.f32 (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 1 binary32))))) |
(* (pow ux 2) (- (* -1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))) |
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) #s(literal -1/2 binary32) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 1 binary32)))))) (*.f32 ux ux)) |
(* (pow ux 2) (- (/ 1 (pow ux 2)) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 maxCos #s(literal 1 binary32))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 maxCos #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 ux ux)))) (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))) (*.f32 ux ux)) |
(* (pow ux 2) (- (+ (* -1/2 (* (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (pow maxCos 2)) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos)))) (+ 1 maxCos))) (* 1/2 (/ (* (+ 1 maxCos) (* (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))))) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 3) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (/ 1 (pow ux 2))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (-.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 maxCos #s(literal 1 binary32))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 maxCos #s(literal 1 binary32))))))) (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (neg.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (+.f32 maxCos #s(literal 1 binary32))) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 maxCos #s(literal 1 binary32))))) (+.f32 maxCos #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 ux #s(literal 3 binary32))))) (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 maxCos #s(literal 1 binary32))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 maxCos #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 ux ux)))) (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))))) (*.f32 ux ux)) |
(* -1 (* ux (+ 1 maxCos))) |
(*.f32 (neg.f32 ux) (+.f32 maxCos #s(literal 1 binary32))) |
(* ux (- (/ 1 ux) (+ 1 maxCos))) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux) |
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) |
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) |
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))) |
(*.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux)) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) |
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2))) |
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) |
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* (* (pow ux 2) (sqrt -1)) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 ux ux))) |
(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))) |
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 ux ux)) |
(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))))) |
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 maxCos #s(literal 1 binary32))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 maxCos #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 ux ux)))) (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 ux ux)) |
(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (pow maxCos 2)) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos)))) (+ 1 maxCos))) (* 1/2 (/ (* (+ 1 maxCos) (* (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))))) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 3) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))))) |
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#s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 maxCos #s(literal 1 binary32))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 maxCos #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 ux ux)))) (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (-.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 maxCos #s(literal 1 binary32))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 maxCos #s(literal 1 binary32))))))) (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 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(pow ux 2) |
(*.f32 ux ux) |
(* (pow ux 2) (- 1 (* 2 (/ 1 ux)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) |
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) |
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(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
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(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux) (*.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32))))) ux)))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
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(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) |
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(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
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(* -1 (* ux (+ 1 (* -1 maxCos)))) |
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(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) |
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(* ux (+ 1 (* -1 maxCos))) |
(*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) ux) |
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos))))) |
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(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (* 2 (/ 1 ux))) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
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(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos))))) |
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(* -1 (* ux (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (+ 1 (* -1 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos)))))) |
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2))))) (* ux (+ 1 (* -1 maxCos))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (+ 1 (* -1 maxCos))))) ux)) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos)))))) |
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ 2 (* -2 maxCos)) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2)))))) (* ux (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2))))) (+ 1 (* -1 maxCos))))) ux)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (+ 1 (* -1 maxCos))))) ux)) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos)))))) |
(*.f32 (neg.f32 ux) (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) ux) (/.f32 (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32))) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 3 binary32))) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32))) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) #s(literal 1/2 binary32))) ux))) ux)))) |
(* -1 (* (pow ux 3) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))) |
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(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (* 2 (+ 1 (* -1 maxCos)))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) |
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(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ 3 (* -1 maxCos)) ux)) (* 2 (+ 1 (* -1 maxCos))))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) |
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(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 3 (* -1 maxCos)) (/ 1 ux)) ux)) (* 2 (+ 1 (* -1 maxCos))))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))) |
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(* -1 (* (pow ux 2) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))) |
(*.f32 (*.f32 (neg.f32 ux) ux) (sqrt.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))))) |
(* (pow ux 2) (- (* 1/2 (* (/ (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))) |
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(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))) |
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(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* 1/2 (* (/ (- (+ (* 2 (/ (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 3))) (+ (/ 1 (- 1 (* -1 maxCos))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (- 1 (* -1 maxCos))) (+ (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 2) (- 1 (* -1 maxCos)))))))) (+ (* 1/2 (/ (* (- 1 (* -1 maxCos)) (* (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (pow (- 1 (* -1 maxCos)) 2))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 4)) (+ (/ (pow maxCos 2) (- 1 (* -1 maxCos))) (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2)))))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2)))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))) |
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(* -1 (* ux (- 1 (* -1 maxCos)))) |
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (neg.f32 maxCos))) |
(* -1 (* ux (- 1 (+ (* -1 maxCos) (/ 1 ux))))) |
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) maxCos (/.f32 #s(literal 1 binary32) ux)))) |
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) |
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) |
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) |
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(* (pow ux 2) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))) |
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(* (pow ux 2) (+ (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (* -1/2 (* (/ (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))))) |
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(* (pow ux 2) (+ (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (* -1 (/ (+ (* -1/2 (* (/ (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)))) |
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(* (pow ux 2) (+ (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (+ (* 2 (/ (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 3))) (+ (/ 1 (- 1 (* -1 maxCos))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (- 1 (* -1 maxCos))) (+ (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 2) (- 1 (* -1 maxCos)))))))) (+ (* 1/2 (/ (* (- 1 (* -1 maxCos)) (* (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (pow (- 1 (* -1 maxCos)) 2))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 4)) (+ (/ (pow maxCos 2) (- 1 (* -1 maxCos))) (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2)))))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)))) |
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(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) |
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(fma.f32 (*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(fma.f32 (fma.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32) (*.f32 (*.f32 (neg.f32 ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (*.f32 (neg.f32 ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(pow (- 1 ux) 2) |
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) |
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) |
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) |
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(- 1 ux) |
(-.f32 #s(literal 1 binary32) ux) |
(- (+ 1 (* maxCos ux)) ux) |
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) |
(pow (- ux 1) 2) |
(pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) |
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2)) |
(fma.f32 (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) |
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2)) |
(fma.f32 (fma.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) |
(- ux 1) |
(-.f32 ux #s(literal 1 binary32)) |
(- (+ ux (* -1 (* maxCos ux))) 1) |
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) |
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(fma.f32 (fma.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 ux #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))) maxCos (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ 1 (pow (- 1 ux) 2)) |
(+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) |
(+ 1 (+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))) |
(+.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(+ 1 (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))) |
(+.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2)))) |
(*.f32 (sqrt.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) |
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2)))))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (sqrt.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2)))))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2))))) |
(fma.f32 (fma.f32 (*.f32 maxCos (*.f32 (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (*.f32 (sqrt.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2)))))))) (sqrt (/ 1 (pow (+ 1 (pow (- 1 ux) 2)) 3))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2))))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2)))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 1/2 binary32))) maxCos (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (*.f32 (sqrt.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(pow (- 1 ux) 3) |
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) |
(+ (* maxCos (* ux (pow (- 1 ux) 2))) (pow (- 1 ux) 3)) |
(fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) |
(+ (* maxCos (+ (* -1 (* maxCos (* (pow ux 2) (- 1 ux)))) (* ux (pow (- 1 ux) 2)))) (pow (- 1 ux) 3)) |
(fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 1 binary32) ux))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) |
(+ (* maxCos (+ (* maxCos (+ (* -1 (* maxCos (pow ux 3))) (* -1 (* (pow ux 2) (- 1 ux))))) (* ux (pow (- 1 ux) 2)))) (pow (- 1 ux) 3)) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) maxCos (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) |
(- 1 (pow (- 1 ux) 2)) |
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(- (+ 1 (* -1/2 (/ (* maxCos (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (pow (- 1 ux) 2)))) (pow (- 1 ux) 2)) |
(-.f32 (fma.f32 (*.f32 maxCos (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -1/2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(- (+ 1 (* maxCos (- (* -1/2 (/ (* maxCos (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2)))))) (pow (- 1 ux) 2)) |
(-.f32 (fma.f32 (fma.f32 (*.f32 maxCos (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 ux) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(- (+ 1 (* maxCos (- (* maxCos (- (* -1/2 (/ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2)))) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (+ (* -1 (/ (* ux (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))))) (- 1 ux))) (* 1/2 (/ (* (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4))))) (pow (- 1 ux) 2))))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2)))))) (pow (- 1 ux) 2)) |
(-.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 maxCos (/.f32 (-.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 ux) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) #s(literal 1/2 binary32) (*.f32 (neg.f32 ux) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (*.f32 (neg.f32 ux) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux)))) (-.f32 #s(literal 1 binary32) ux))))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 ux) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) maxCos (*.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(- (+ 1 (* -1 (* maxCos ux))) ux) |
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) ux) |
(+ 2 (* -2 maxCos)) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)) |
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) |
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) |
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) |
(fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) (*.f32 (*.f32 ux ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))) |
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) |
(-.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) |
(-.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) maxCos (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(- 1 (pow (- ux 1) 2)) |
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) |
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2)) |
(-.f32 (fma.f32 (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2)) |
(-.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) maxCos (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) |
(+ (* 1/2 (/ (* maxCos (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (pow (- 1 ux) 2))) (pow (- 1 ux) 2)) |
(fma.f32 (*.f32 maxCos (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(+ (* maxCos (+ (* 1/2 (/ (* maxCos (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2))))) (pow (- 1 ux) 2)) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 ux) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(+ (* maxCos (+ (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2))) (* maxCos (+ (* 1/2 (/ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2)))) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (+ (* -1 (/ (* ux (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))))) (- 1 ux))) (* 1/2 (/ (* (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4))))) (pow (- 1 ux) 2))))))) (pow (- 1 ux) 2)) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 ux) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) #s(literal 1/2 binary32) (*.f32 (neg.f32 ux) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (*.f32 (neg.f32 ux) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux)))) (-.f32 #s(literal 1 binary32) ux))))) maxCos (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 ux) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux)))))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos (*.f32 (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 1/2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))) |
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)) maxCos) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (fma.f32 (neg.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux))) maxCos) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))) |
(*.f32 (fma.f32 (neg.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)))) maxCos) |
(* (pow maxCos 2) (pow ux 2)) |
(*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos)) |
(* maxCos ux) |
(*.f32 maxCos ux) |
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) |
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos)) |
(* -1 (* maxCos ux)) |
(*.f32 (neg.f32 maxCos) ux) |
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos)))) |
(*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) |
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))) |
(*.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)) maxCos) |
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux))) maxCos) |
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)))) maxCos) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (+.f32 (/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (*.f32 ux ux))) (*.f32 maxCos maxCos)) |
(* maxCos (* ux (cos (* 2 (* uy (PI)))))) |
(*.f32 (*.f32 maxCos ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) |
(* maxCos (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos))) |
(*.f32 (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux)) maxCos) |
(* maxCos (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow maxCos 2) ux))) (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos)))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 maxCos maxCos)) (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux))) maxCos) |
(* maxCos (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow maxCos 2) ux))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (/ 1 ux))) (* (pow maxCos 3) ux))) (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (pow.f32 maxCos #s(literal 3 binary32))) (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux)))) maxCos) |
(* -1 (* (pow maxCos 3) (pow ux 3))) |
(pow.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 3 binary32)) |
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (* -1 (pow ux 3)))) |
(*.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (pow.f32 (neg.f32 ux) #s(literal 3 binary32))) (pow.f32 maxCos #s(literal 3 binary32))) |
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (+ (* -1 (pow ux 3)) (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2))))) |
(*.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) (/.f32 ux maxCos) (pow.f32 (neg.f32 ux) #s(literal 3 binary32)))) (pow.f32 maxCos #s(literal 3 binary32))) |
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (+ (* -1 (pow ux 3)) (+ (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2)) (/ (pow (- 1 ux) 3) (pow maxCos 3)))))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) (/.f32 ux maxCos) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 3 binary32)))) (pow.f32 maxCos #s(literal 3 binary32))) |
(* -1 (* (pow maxCos 2) (pow ux 2))) |
(*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (* -1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 ux ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 (neg.f32 ux) ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32)))) ux)) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 ux ux)))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (+ (* -1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 3))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)))) ux)) (* 1/2 (/ (* (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) (pow ux 4))))) (* (pow maxCos 3) (pow ux 2)))) (/ 1 (pow maxCos 2))) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))))) |
(*.f32 (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (*.f32 ux ux))) ux)) (fma.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32)))) ux)) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux)))) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (pow.f32 ux #s(literal 4 binary32)))) #s(literal 1/2 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32)))) ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux))) ux)))) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) #s(literal -1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32)))) ux)) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 ux ux))))) (*.f32 maxCos maxCos)) |
(* maxCos (- (/ 1 maxCos) (+ ux (/ ux maxCos)))) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) ux) (/.f32 ux maxCos)) maxCos) |
(* -2 maxCos) |
(*.f32 #s(literal -2 binary32) maxCos) |
(* maxCos (- (* 2 (/ 1 maxCos)) 2)) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos) |
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos))) |
(*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2))))) |
(*.f32 (fma.f32 (neg.f32 ux) ux (fma.f32 (/.f32 (*.f32 ux ux) maxCos) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32)))) ux)) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 3))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)))) ux)) (* 1/2 (/ (* (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) (pow ux 4))))) (* (pow maxCos 3) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32)))) ux)) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux ux)) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (*.f32 ux ux))) ux)) (fma.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32)))) ux)) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux)))) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (pow.f32 ux #s(literal 4 binary32)))) #s(literal 1/2 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32)))) ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux))) ux)))) (pow.f32 maxCos #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 ux ux)))) (*.f32 maxCos maxCos)) |
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos))) maxCos)))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) |
(*.f32 (fma.f32 ux ux (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32) (neg.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos)) |
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -1 binary32) (neg.f32 ux))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
(*.f32 (fma.f32 ux ux (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (-.f32 ux #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos)) |
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux)))) |
(*.f32 (neg.f32 maxCos) (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) ux))) |
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) maxCos)))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) #s(literal 1/2 binary32))) maxCos))) maxCos)))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (+ 1 (pow (- 1 ux) 2)) maxCos))) maxCos)) (pow ux 2))) |
(*.f32 (fma.f32 ux ux (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32) (neg.f32 (/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos)) |
(* -1 (* maxCos (* ux (cos (* 2 (* uy (PI))))))) |
(*.f32 (*.f32 (neg.f32 maxCos) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) |
(* -1 (* maxCos (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos)))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* maxCos ux)))) maxCos)) (* ux (cos (* 2 (* uy (PI)))))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux (neg.f32 (/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 maxCos ux)) #s(literal -1/2 binary32))) maxCos)))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (pow ux 2)))) (* 1/2 (/ (cos (* 2 (* uy (PI)))) ux))) maxCos))) maxCos)) (* ux (cos (* 2 (* uy (PI)))))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux (neg.f32 (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 ux ux)) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))) maxCos))) maxCos)))) |
(* -1 (* (pow maxCos 3) (+ (/ (* (pow ux 2) (- 1 ux)) maxCos) (pow ux 3)))) |
(*.f32 (neg.f32 (pow.f32 maxCos #s(literal 3 binary32))) (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (pow.f32 ux #s(literal 3 binary32)))) |
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (/ (* ux (pow (- 1 ux) 2)) maxCos)) maxCos)) (pow ux 3)))) |
(*.f32 (neg.f32 (pow.f32 maxCos #s(literal 3 binary32))) (fma.f32 (/.f32 (-.f32 (*.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) maxCos) #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) |
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* -1 (/ (+ (* -1 (* ux (pow (- 1 ux) 2))) (* -1 (/ (pow (- 1 ux) 3) maxCos))) maxCos))) maxCos)) (pow ux 3)))) |
(*.f32 (neg.f32 (pow.f32 maxCos #s(literal 3 binary32))) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) maxCos))) maxCos)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) maxCos) #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) |
(* (pow maxCos 2) (- (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 2)))) (pow ux 2))) |
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 ux ux) maxCos)) #s(literal 1/2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2))) |
(*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 (neg.f32 ux) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal -3 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) ux))) ux))) maxCos) #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux ux)))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* 1/2 (/ (- (+ (* -1 (* ux (pow (- 1 ux) 3))) (/ (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2)) ux)) (+ (* 1/2 (/ (* (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux)))) (pow ux 4))) (/ (* (- 1 ux) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) ux))) (* maxCos (pow ux 2))))) (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2))) |
(*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 (neg.f32 ux) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal -3 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) ux))) (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 (neg.f32 ux) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal -3 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) ux)) ux)))) (*.f32 (*.f32 ux ux) maxCos)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (-.f32 (*.f32 (neg.f32 ux) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal -3 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) ux))) (*.f32 ux ux))))) maxCos) #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux ux)))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* -1 (* maxCos (- (* -1 (/ (- 1 ux) maxCos)) (* -1 ux)))) |
(*.f32 (neg.f32 maxCos) (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))) |
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos))))) |
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos))) |
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2)))) |
(*.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 (neg.f32 ux) ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2)))) |
(*.f32 (fma.f32 (neg.f32 ux) ux (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) maxCos))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) |
(*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
(*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* -1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 2)))) (pow ux 2))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux ux)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (* maxCos (pow ux 2)))) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2))) |
(*.f32 (fma.f32 ux ux (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 ux ux)) (/.f32 (-.f32 (-.f32 (*.f32 (neg.f32 ux) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal -3 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos) (*.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux ux)) #s(literal 1/2 binary32))) maxCos))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* ux (pow (- 1 ux) 3))) (/ (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2)) ux)) (+ (* 1/2 (/ (* (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux)))) (pow ux 4))) (/ (* (- 1 ux) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) ux))) (* maxCos (pow ux 2)))) (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2))) |
(*.f32 (fma.f32 ux ux (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux) (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 (neg.f32 ux) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal -3 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) ux))) (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 (neg.f32 ux) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal -3 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) ux)) ux)))) (*.f32 (*.f32 ux ux) maxCos)) #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 (neg.f32 ux) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal -3 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) ux))) ux))) maxCos))) maxCos))) (*.f32 maxCos maxCos)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 393 |
| 0 | 110 | 279 |
| 1 | 459 | 275 |
| 2 | 3637 | 272 |
| 0 | 8180 | 268 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) |
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) |
(fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)))) |
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
(-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) |
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
(*.f32 (PI.f32) (PI.f32)) |
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))) |
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) |
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) |
(*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) |
| Outputs |
|---|
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) |
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))) |
(-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (PI.f32))))) |
(fma.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 1 binary32))) |
(fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 1 binary32))) |
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) |
(sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))) (/.f32 (PI.f32) #s(literal 2 binary32)))) |
(sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) |
(sin.f32 (fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) |
(+.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 1 binary32))) |
(+.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) |
(+.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 1 binary32))) |
(cos.f32 (neg.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))))) |
(cos.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) |
(cos.f32 (*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))) |
(cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) |
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) uy) #s(literal 2 binary32))) |
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) |
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) |
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))) |
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)) |
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) |
(*.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32))) |
(*.f32 uy (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) uy) |
(*.f32 uy #s(literal 2 binary32)) |
(+.f32 uy uy) |
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) #s(literal 1 binary32)) (pow.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) |
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(pow.f32 (exp.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32)) |
(pow.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) |
(pow.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) |
(pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) |
(fabs.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))) |
(fabs.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) |
(fabs.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) |
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(+.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 (neg.f32 ux)) maxCos)) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) |
(+.f32 ux (-.f32 (*.f32 (neg.f32 ux) maxCos) #s(literal 1 binary32))) |
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(exp.f32 (*.f32 (*.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) #s(literal 1 binary32))) |
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(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) |
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(/.f32 (pow.f32 (-.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 3 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 (+.f32 (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 ux (*.f32 maxCos ux))) #s(literal 2 binary32))) |
(/.f32 (*.f32 (neg.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))) |
(/.f32 (*.f32 (neg.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) |
(/.f32 (*.f32 (neg.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) |
(/.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))) |
(/.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) |
(/.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #s(literal 3/2 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (neg.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (*.f32 (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (neg.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (neg.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) |
(/.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) |
(-.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 maxCos ux))) |
(-.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (neg.f32 ux) maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) |
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) |
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) |
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32))) |
(fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) |
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) |
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) |
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) |
(fma.f32 maxCos (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) |
(fma.f32 ux (*.f32 maxCos (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) |
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) |
(pow.f32 (exp.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) |
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) |
(fabs.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) |
(+.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) |
(+.f32 (cosh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) |
(+.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) |
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) |
(exp.f32 (fma.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) |
(neg.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) |
(*.f32 (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (pow.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) |
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux))) |
(*.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) ux)) (fabs.f32 (-.f32 #s(literal 1 binary32) ux))) |
(*.f32 (exp.f32 (log.f32 (-.f32 #s(literal 1 binary32) ux))) (exp.f32 (log.f32 (-.f32 #s(literal 1 binary32) ux)))) |
(*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 2 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (-.f32 #s(literal 1 binary32) ux))) |
(pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) |
(pow.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 (log.f32 (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) |
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) |
(+.f32 (cosh.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) |
(exp.f32 (fma.f32 (log.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 (log.f32 (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) |
Compiled 60 821 to 5 928 computations (90.3% saved)
48 alts after pruning (47 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 018 | 41 | 1 059 |
| Fresh | 27 | 6 | 33 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 049 | 48 | 1 097 |
| Status | Accuracy | Program |
|---|---|---|
| 25.0% | (/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32)) | |
| 50.6% | (*.f32 (fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) | |
| 69.8% | (*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) | |
| 57.7% | (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) | |
| 57.8% | (*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) | |
| 57.7% | (*.f32 (cos.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) | |
| 41.2% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32))))) | |
| 42.6% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 55.4% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))))))) | |
| ▶ | 58.0% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))))) |
| 58.8% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)))))) | |
| 40.3% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))) | |
| 20.6% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos))))) | |
| 77.0% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 #s(literal -1/2 binary32) ux) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))))))) | |
| ▶ | 98.8% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))) |
| 77.0% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) | |
| ▶ | 57.5% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
| 98.8% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (/.f32 (-.f32 (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos)) #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) | |
| 98.0% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) | |
| 69.8% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)))) | |
| 69.9% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))) | |
| 92.5% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))))) | |
| 19.9% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) #s(literal 2 binary32)))) | |
| ▶ | 50.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| 48.6% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))))) | |
| 48.6% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) | |
| 48.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 51.1% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 48.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 51.0% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| ✓ | 50.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| 48.0% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))) | |
| 25.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) | |
| 48.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) | |
| 51.8% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) | |
| 21.3% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))))) | |
| 6.6% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) | |
| 19.7% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)))))) | |
| ▶ | 6.6% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
| 63.4% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) | |
| 76.6% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))) | |
| 54.0% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 50.8% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 5.3% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 76.8% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) | |
| 48.6% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32))))) | |
| 10.0% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (*.f32 maxCos ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) | |
| 4.1% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) |
Compiled 3 822 to 2 473 computations (35.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) | |
| cost-diff | 0 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) | |
| cost-diff | 0 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))))) | |
| cost-diff | 1 | (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) | |
| cost-diff | 0 | (*.f32 uy #s(literal 2 binary32)) | |
| cost-diff | 0 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) | |
| cost-diff | 0 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) | |
| cost-diff | 0 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) | |
| cost-diff | 0 | #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) | |
| cost-diff | 0 | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| cost-diff | 1 | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) | |
| cost-diff | 1 | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) | |
| cost-diff | 0 | (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) | |
| cost-diff | 0 | (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) | |
| cost-diff | 0 | #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) | |
| cost-diff | 0 | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) | |
| cost-diff | 0 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) | |
| cost-diff | 0 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) | |
| cost-diff | 0 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))) | |
| cost-diff | 2 | (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 785 |
| 0 | 120 | 785 |
| 1 | 218 | 785 |
| 2 | 509 | 775 |
| 3 | 1668 | 775 |
| 4 | 4142 | 775 |
| 0 | 8156 | 727 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))) |
#s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))) |
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)) |
(-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) |
(/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) |
(-.f32 #s(literal 1 binary32) maxCos) |
#s(literal 1 binary32) |
maxCos |
ux |
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) |
(*.f32 ux ux) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(*.f32 (*.f32 uy uy) #s(literal -2 binary32)) |
(*.f32 uy uy) |
uy |
#s(literal -2 binary32) |
(*.f32 (PI.f32) (PI.f32)) |
(PI.f32) |
#s(literal 1 binary32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) |
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)) |
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) |
(*.f32 (PI.f32) (PI.f32)) |
(PI.f32) |
#s(literal -2 binary32) |
(*.f32 uy uy) |
uy |
#s(literal 1 binary32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(-.f32 #s(literal 1 binary32) ux) |
ux |
(*.f32 ux maxCos) |
maxCos |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) |
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) |
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
#s(literal -2 binary32) |
maxCos |
ux |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))) |
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))) |
#s(literal 1 binary32) |
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))) |
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) |
(-.f32 ux (*.f32 maxCos ux)) |
ux |
(*.f32 maxCos ux) |
maxCos |
#s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) |
(*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) |
(-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) |
(-.f32 (/.f32 ux maxCos) ux) |
(/.f32 ux maxCos) |
(/.f32 #s(literal 1 binary32) maxCos) |
| Outputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))) |
(*.f32 (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 ux ux) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) uy) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))) |
(sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 ux ux) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))))) |
#s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))) |
#s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 ux ux) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos)))) |
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)) |
(*.f32 (*.f32 ux ux) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))) |
(-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos)) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) |
(/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) |
(-.f32 #s(literal 1 binary32) maxCos) |
#s(literal 1 binary32) |
maxCos |
ux |
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) |
(*.f32 ux ux) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))) #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)) |
(*.f32 (*.f32 uy uy) #s(literal -2 binary32)) |
(*.f32 #s(literal -2 binary32) (*.f32 uy uy)) |
(*.f32 uy uy) |
uy |
#s(literal -2 binary32) |
(*.f32 (PI.f32) (PI.f32)) |
(PI.f32) |
#s(literal 1 binary32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) |
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))) #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)) |
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) |
(*.f32 (PI.f32) (PI.f32)) |
(PI.f32) |
#s(literal -2 binary32) |
(*.f32 uy uy) |
uy |
#s(literal 1 binary32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
(sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32)) |
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) |
(-.f32 #s(literal 1 binary32) ux) |
ux |
(*.f32 ux maxCos) |
(*.f32 maxCos ux) |
maxCos |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(*.f32 (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) uy) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) |
(sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) |
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) |
#s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) |
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
#s(literal -2 binary32) |
maxCos |
ux |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) uy) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))) |
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))) |
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))) |
#s(literal 1 binary32) |
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))) |
(*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) |
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) |
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) |
(-.f32 ux (*.f32 maxCos ux)) |
ux |
(*.f32 maxCos ux) |
maxCos |
#s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) |
(*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) |
(-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) |
(-.f32 (/.f32 ux maxCos) ux) |
(/.f32 ux maxCos) |
(/.f32 #s(literal 1 binary32) maxCos) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.30859375 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) | |
| accuracy | 0.44921875 | (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))) | |
| accuracy | 0.45703125000524847 | (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) | |
| accuracy | 13.08797032170482 | (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))) | |
| accuracy | 0.14453125 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) | |
| accuracy | 0.30859375 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) | |
| accuracy | 2.392675728495496 | (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) | |
| accuracy | 7.954706357371878 | #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) | |
| accuracy | 1.0 | (*.f32 (PI.f32) (PI.f32)) | |
| accuracy | 3.211025896906581 | #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) | |
| accuracy | 6.127137080226681 | (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)) | |
| accuracy | 13.08797032170482 | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) | |
| accuracy | 3.211025896906581 | #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) | |
| accuracy | 9.800980144402502 | #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) | |
| accuracy | 13.08797032170482 | (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) | |
| accuracy | 28.79402571976838 | (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) | |
| accuracy | 0.12239793710950655 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) | |
| accuracy | 0.14453125 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))) | |
| accuracy | 0.30859375 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) | |
| accuracy | 0.3545112793053261 | (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)) |
| 105.0ms | 254× | 0 | valid |
| 1.0ms | 2× | 1 | valid |
Compiled 604 to 49 computations (91.9% saved)
ival-mult: 27.0ms (45% of total)ival-sub: 10.0ms (16.7% of total)ival-cosu: 7.0ms (11.7% of total)ival-div: 5.0ms (8.3% of total)ival-add: 4.0ms (6.7% of total)ival-sqrt: 3.0ms (5% of total)ival-pow2: 2.0ms (3.3% of total)ival-pi: 1.0ms (1.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(*.f32 (*.f32 uy uy) #s(literal -2 binary32)) |
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(*.f32 uy #s(literal 2 binary32)) |
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))))) |
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)) |
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) |
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)) |
(*.f32 (PI.f32) (PI.f32)) |
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))) |
(*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) |
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))) |
| Outputs |
|---|
(* 2 (/ (- 1 maxCos) ux)) |
(/ (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos))) ux) |
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3))))))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5))))))))) |
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) |
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) |
(* ux (- 2 (* 2 maxCos))) |
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) |
1 |
(+ 1 (* ux (- maxCos 1))) |
-1 |
(- (* ux (- 1 maxCos)) 1) |
(* 2 (* ux (- 1 maxCos))) |
(* ux (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos)))) |
(+ 1 (* ux (- (* 2 maxCos) 2))) |
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) |
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos)))) |
(- (* maxCos (* ux (- (/ 1 maxCos) 1))) 1) |
(+ 1 (* -2 (* ux (- 1 maxCos)))) |
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2))))) |
(* -1 (pow (- 1 maxCos) 2)) |
(- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos)))) |
(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) |
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) |
(* ux (- maxCos 1)) |
(* ux (- (+ maxCos (/ 1 ux)) 1)) |
(* ux (- 1 maxCos)) |
(* ux (- 1 (+ maxCos (/ 1 ux)))) |
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2))) |
(* (pow ux 2) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ (- 1 maxCos) ux)))) |
(* (pow ux 2) (pow (- maxCos 1) 2)) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) |
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(* maxCos (* ux (- (/ 1 maxCos) 1))) |
(* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))) |
(* (pow ux 2) (pow (- 1 maxCos) 2)) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2)))) |
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) |
(* -1 (* ux (+ 1 (* -1 maxCos)))) |
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) |
(* ux (+ 1 (* -1 maxCos))) |
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos))))) |
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) |
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos))))) |
(* -1 (* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))) |
(sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))) |
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4)))))) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(* 2 (* uy (PI))) |
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))) |
(* -2 (pow uy 2)) |
(* 2 uy) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))) |
(cos (* 2 (* uy (PI)))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))) |
(* -2 (* (pow uy 2) (pow (PI) 2))) |
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2)))) |
(- (* 2 (/ 1 ux)) 1) |
(- (+ (* 2 (/ 1 ux)) (* maxCos (- 2 (* 2 (/ 1 ux))))) 1) |
(- (+ (* 2 (/ 1 ux)) (* maxCos (- (+ 2 (* -1 maxCos)) (* 2 (/ 1 ux))))) 1) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) |
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) |
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) |
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(- 1 (pow (- 1 ux) 2)) |
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) |
(- 1 ux) |
(- (+ 1 (* maxCos ux)) ux) |
(- ux 1) |
(- (+ ux (* -1 (* maxCos ux))) 1) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) |
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) |
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) |
(pow (- 1 ux) 2) |
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) |
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) |
2 |
(+ 2 (* -2 maxCos)) |
(- 1 (pow (- ux 1) 2)) |
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2)) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2)) |
(pow (- ux 1) 2) |
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2)) |
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2)) |
(* -1 (pow maxCos 2)) |
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 2 (* maxCos ux))))) |
(* (pow maxCos 2) (- (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux)))) (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux)))))) |
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))) |
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))) |
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))) |
(* -1 (* (pow maxCos 2) (pow ux 2))) |
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) |
(* maxCos ux) |
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) |
(* -1 (* maxCos ux)) |
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos)))) |
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos))) |
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2))))) |
(* (pow maxCos 2) (pow ux 2)) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) |
(* -2 maxCos) |
(* maxCos (- (* 2 (/ 1 maxCos)) 2)) |
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))) |
(* maxCos (- (+ (* -1 ux) (/ ux maxCos)) (/ 1 maxCos))) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) maxCos)) 1)) |
(* (pow maxCos 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 ux)) 1) maxCos)) (* 2 (/ 1 ux))) 2) maxCos)) 1)) |
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) |
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux)))) |
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2)))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2)))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos))))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | ux | @ | 0 | ((- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy uy) -2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (- (- ux (* maxCos ux)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (* (* (PI) (PI)) -2) (* uy uy)) 1) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (* (- (- (/ ux maxCos) ux) (/ 1 maxCos)) maxCos) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) |
| 2.0ms | ux | @ | inf | ((- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy uy) -2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (- (- ux (* maxCos ux)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (* (* (PI) (PI)) -2) (* uy uy)) 1) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (* (- (- (/ ux maxCos) ux) (/ 1 maxCos)) maxCos) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) |
| 2.0ms | maxCos | @ | -inf | ((- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy uy) -2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (- (- ux (* maxCos ux)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (* (* (PI) (PI)) -2) (* uy uy)) 1) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (* (- (- (/ ux maxCos) ux) (/ 1 maxCos)) maxCos) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) |
| 2.0ms | uy | @ | inf | ((- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy uy) -2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (- (- ux (* maxCos ux)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (* (* (PI) (PI)) -2) (* uy uy)) 1) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (* (- (- (/ ux maxCos) ux) (/ 1 maxCos)) maxCos) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) |
| 2.0ms | ux | @ | -inf | ((- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy uy) -2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (- (- ux (* maxCos ux)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (* (* (PI) (PI)) -2) (* uy uy)) 1) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (* (- (- (/ ux maxCos) ux) (/ 1 maxCos)) maxCos) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 760 | 4434 |
| 1 | 2601 | 4202 |
| 0 | 8686 | 4018 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (/ (- 1 maxCos) ux)) |
(/ (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos))) ux) |
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3))))))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5))))))))) |
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) |
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) |
(* ux (- 2 (* 2 maxCos))) |
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) |
1 |
(+ 1 (* ux (- maxCos 1))) |
-1 |
(- (* ux (- 1 maxCos)) 1) |
(* 2 (* ux (- 1 maxCos))) |
(* ux (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos)))) |
(+ 1 (* ux (- (* 2 maxCos) 2))) |
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) |
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos)))) |
(- (* maxCos (* ux (- (/ 1 maxCos) 1))) 1) |
(+ 1 (* -2 (* ux (- 1 maxCos)))) |
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2))))) |
(* -1 (pow (- 1 maxCos) 2)) |
(- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos)))) |
(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) |
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) |
(* ux (- maxCos 1)) |
(* ux (- (+ maxCos (/ 1 ux)) 1)) |
(* ux (- 1 maxCos)) |
(* ux (- 1 (+ maxCos (/ 1 ux)))) |
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2))) |
(* (pow ux 2) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ (- 1 maxCos) ux)))) |
(* (pow ux 2) (pow (- maxCos 1) 2)) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) |
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(* maxCos (* ux (- (/ 1 maxCos) 1))) |
(* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))) |
(* (pow ux 2) (pow (- 1 maxCos) 2)) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2)))) |
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) |
(* -1 (* ux (+ 1 (* -1 maxCos)))) |
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) |
(* ux (+ 1 (* -1 maxCos))) |
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos))))) |
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) |
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos))))) |
(* -1 (* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))) |
(sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))) |
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4)))))) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(* 2 (* uy (PI))) |
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))) |
(* -2 (pow uy 2)) |
(* 2 uy) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))) |
(cos (* 2 (* uy (PI)))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))) |
(* -2 (* (pow uy 2) (pow (PI) 2))) |
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2)))) |
(- (* 2 (/ 1 ux)) 1) |
(- (+ (* 2 (/ 1 ux)) (* maxCos (- 2 (* 2 (/ 1 ux))))) 1) |
(- (+ (* 2 (/ 1 ux)) (* maxCos (- (+ 2 (* -1 maxCos)) (* 2 (/ 1 ux))))) 1) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) |
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) |
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) |
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(- 1 (pow (- 1 ux) 2)) |
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) |
(- 1 ux) |
(- (+ 1 (* maxCos ux)) ux) |
(- ux 1) |
(- (+ ux (* -1 (* maxCos ux))) 1) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) |
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) |
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) |
(pow (- 1 ux) 2) |
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) |
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) |
2 |
(+ 2 (* -2 maxCos)) |
(- 1 (pow (- ux 1) 2)) |
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2)) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2)) |
(pow (- ux 1) 2) |
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2)) |
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2)) |
(* -1 (pow maxCos 2)) |
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 2 (* maxCos ux))))) |
(* (pow maxCos 2) (- (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux)))) (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux)))))) |
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))) |
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))) |
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))) |
(* -1 (* (pow maxCos 2) (pow ux 2))) |
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) |
(* maxCos ux) |
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) |
(* -1 (* maxCos ux)) |
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos)))) |
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos))) |
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2))))) |
(* (pow maxCos 2) (pow ux 2)) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) |
(* -2 maxCos) |
(* maxCos (- (* 2 (/ 1 maxCos)) 2)) |
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))) |
(* maxCos (- (+ (* -1 ux) (/ ux maxCos)) (/ 1 maxCos))) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) maxCos)) 1)) |
(* (pow maxCos 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 ux)) 1) maxCos)) (* 2 (/ 1 ux))) 2) maxCos)) 1)) |
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) |
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux)))) |
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2)))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2)))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos))))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
| Outputs |
|---|
(* 2 (/ (- 1 maxCos) ux)) |
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) |
(/ (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos))) ux) |
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux) |
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) |
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux)) (*.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) ux)))) (*.f32 ux ux) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5))))))))) |
(fma.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 7 binary32)) ux)) (*.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 ux #s(literal 3 binary32)))))) (*.f32 ux ux))) (*.f32 ux ux))) |
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) |
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) |
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)))))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(* ux (- 2 (* 2 maxCos))) |
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) |
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) |
(*.f32 (-.f32 #s(literal 2 binary32) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos))) ux) |
1 |
#s(literal 1 binary32) |
(+ 1 (* ux (- maxCos 1))) |
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) |
-1 |
#s(literal -1 binary32) |
(- (* ux (- 1 maxCos)) 1) |
(-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) |
(* 2 (* ux (- 1 maxCos))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) |
(* ux (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos)))) |
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux) |
(+ 1 (* ux (- (* 2 maxCos) 2))) |
(fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)) |
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) |
(fma.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32)) |
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos)))) |
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux) |
(- (* maxCos (* ux (- (/ 1 maxCos) 1))) 1) |
(-.f32 (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) ux) maxCos) #s(literal 1 binary32)) |
(+ 1 (* -2 (* ux (- 1 maxCos)))) |
(fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) |
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2))))) |
(fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux #s(literal 1 binary32)) |
(* -1 (pow (- 1 maxCos) 2)) |
(neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) |
(- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)) |
(-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos)))) |
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 #s(literal 1 binary32) maxCos)) |
(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))) |
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) ux) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) ux) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) ux) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) |
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) |
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))))) ux) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32)))))) ux) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))))))) ux) |
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) |
(neg.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) |
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* ux (- maxCos 1)) |
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) |
(* ux (- (+ maxCos (/ 1 ux)) 1)) |
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) |
(* ux (- 1 maxCos)) |
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) |
(* ux (- 1 (+ maxCos (/ 1 ux)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux) |
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2))) |
(*.f32 (neg.f32 ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) |
(* (pow ux 2) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ (- 1 maxCos) ux)))) |
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* (pow ux 2) (pow (- maxCos 1) 2)) |
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) |
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) |
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) |
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* maxCos (* ux (- (/ 1 maxCos) 1))) |
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) ux) maxCos) |
(* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))) |
(*.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux) |
(* (pow ux 2) (pow (- 1 maxCos) 2)) |
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux) ux) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux) ux) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2)))) |
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux)) |
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(*.f32 (neg.f32 ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) ux) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 3 binary32))))) (neg.f32 ux)))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) ux) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 3 binary32))) #s(literal -1/8 binary32))) (neg.f32 ux))) (neg.f32 ux)))) |
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) |
(*.f32 (neg.f32 ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) |
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) |
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* -1 (* ux (+ 1 (* -1 maxCos)))) |
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos)) |
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) |
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos))) |
(* ux (+ 1 (* -1 maxCos))) |
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) |
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos))))) |
(*.f32 (neg.f32 ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos))) |
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) |
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux) ux) |
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(*.f32 (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux) ux) |
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(*.f32 (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos))))) |
(*.f32 (neg.f32 maxCos) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos)) ux)) |
(* -1 (* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))) |
(fma.f32 (neg.f32 maxCos) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos)) ux) #s(literal -1 binary32)) |
(sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))) |
(fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 uy uy) (*.f32 uy uy)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))))) |
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) |
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy)) (*.f32 uy uy) #s(literal 1 binary32)) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 uy uy))) (*.f32 uy uy) #s(literal 1 binary32)) |
(* 2 (* uy (PI))) |
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) |
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))) |
(fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 uy uy) (*.f32 uy uy)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))))) |
(* -2 (pow uy 2)) |
(*.f32 (*.f32 uy uy) #s(literal -2 binary32)) |
(* 2 uy) |
(*.f32 #s(literal 2 binary32) uy) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) |
(cos (* 2 (* uy (PI)))) |
(cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) |
(* -2 (* (pow uy 2) (pow (PI) 2))) |
(*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)) |
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2)))) |
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(- (* 2 (/ 1 ux)) 1) |
(-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) |
(- (+ (* 2 (/ 1 ux)) (* maxCos (- 2 (* 2 (/ 1 ux))))) 1) |
(-.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos (/.f32 #s(literal 2 binary32) ux)) #s(literal 1 binary32)) |
(- (+ (* 2 (/ 1 ux)) (* maxCos (- (+ 2 (* -1 maxCos)) (* 2 (/ 1 ux))))) 1) |
(-.f32 (fma.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)) maxCos (/.f32 #s(literal 2 binary32) ux)) #s(literal 1 binary32)) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) |
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) |
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux maxCos)) (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (fma.f32 (*.f32 ux (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 ux #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) (*.f32 (*.f32 maxCos #s(literal 1/2 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 ux maxCos)) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 ux #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) |
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(fma.f32 (*.f32 (neg.f32 maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (neg.f32 ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(fma.f32 (fma.f32 (*.f32 maxCos #s(literal -1/2 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 ux maxCos)) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (neg.f32 ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(- 1 (pow (- 1 ux) 2)) |
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) |
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) |
(fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) |
(- 1 ux) |
(-.f32 #s(literal 1 binary32) ux) |
(- (+ 1 (* maxCos ux)) ux) |
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) |
(- ux 1) |
(-.f32 ux #s(literal 1 binary32)) |
(- (+ ux (* -1 (* maxCos ux))) 1) |
(-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) |
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux) |
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) |
(fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) |
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) |
(fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux (*.f32 (*.f32 (*.f32 ux ux) (-.f32 (-.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))) maxCos)) |
(pow (- 1 ux) 2) |
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) |
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) |
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) |
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -2 maxCos)) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
(- 1 (pow (- ux 1) 2)) |
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) |
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2)) |
(fma.f32 (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2)) |
(fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))) maxCos (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(pow (- ux 1) 2) |
(pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) |
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2)) |
(fma.f32 (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32)) maxCos (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) |
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2)) |
(fma.f32 (fma.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) |
(* -1 (pow maxCos 2)) |
(*.f32 (neg.f32 maxCos) maxCos) |
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 2 (* maxCos ux))))) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux)))) (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux)))))) |
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 #s(literal 2 binary32) maxCos)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux))) (*.f32 maxCos maxCos)) |
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))) |
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) |
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))) |
(*.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos) |
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(*.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))) maxCos) |
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 maxCos #s(literal 3 binary32)))) (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))) maxCos) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) maxCos) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) maxCos) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))) |
(*.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) maxCos) |
(* -1 (* (pow maxCos 2) (pow ux 2))) |
(*.f32 (neg.f32 maxCos) (*.f32 (*.f32 ux ux) maxCos)) |
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (*.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos)) |
(* maxCos ux) |
(*.f32 ux maxCos) |
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) |
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos) |
(* -1 (* maxCos ux)) |
(*.f32 (neg.f32 ux) maxCos) |
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos)))) |
(*.f32 (-.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) ux) maxCos) |
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos))) |
(*.f32 (*.f32 (*.f32 ux ux) (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2))))) |
(*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (pow ux 2)) |
(*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) |
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos)) |
(* -2 maxCos) |
(*.f32 #s(literal -2 binary32) maxCos) |
(* maxCos (- (* 2 (/ 1 maxCos)) 2)) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos) |
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos)) |
(* maxCos (- (+ (* -1 ux) (/ ux maxCos)) (/ 1 maxCos))) |
(*.f32 (-.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) ux) maxCos) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (*.f32 ux ux)) maxCos) maxCos) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))) |
(*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) maxCos)) 1)) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (neg.f32 maxCos)) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 ux)) 1) maxCos)) (* 2 (/ 1 ux))) 2) maxCos)) 1)) |
(*.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux)) #s(literal 2 binary32)) (neg.f32 maxCos)) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) |
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(*.f32 (neg.f32 maxCos) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos)))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (neg.f32 (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 (neg.f32 maxCos) (*.f32 ux ux)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos))) (neg.f32 maxCos)))) |
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 ux maxCos)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos)))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) (neg.f32 maxCos)))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) |
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) |
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) |
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux)))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) #s(literal -1 binary32) ux)) |
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2)))) |
(*.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2)))) |
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux) ux (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (neg.f32 maxCos)))) maxCos))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) |
(*.f32 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) (neg.f32 maxCos))) (*.f32 maxCos maxCos)) |
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos))))) |
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* -1 (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))) |
(*.f32 (neg.f32 maxCos) (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux)) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 ux #s(literal 1 binary32))) ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (neg.f32 maxCos))) (neg.f32 maxCos))) (*.f32 maxCos maxCos)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 454 |
| 0 | 120 | 403 |
| 1 | 429 | 403 |
| 2 | 3029 | 397 |
| 0 | 8393 | 375 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(*.f32 (*.f32 uy uy) #s(literal -2 binary32)) |
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(*.f32 uy #s(literal 2 binary32)) |
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))))) |
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)) |
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) |
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)) |
(*.f32 (PI.f32) (PI.f32)) |
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))) |
(*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) |
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))) |
| Outputs |
|---|
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32)))) (neg.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 6 binary32)))) (neg.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32))) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 6 binary32))) (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(literal 3 binary32)) (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 6 binary32)) (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))) |
(-.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) |
(fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))) |
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(fma.f32 uy (*.f32 (*.f32 #s(literal -2 binary32) uy) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) |
(fma.f32 uy (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) uy) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal -2 binary32)) #s(literal 1 binary32)) |
(+.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 #s(literal -8 binary32) (pow.f32 uy #s(literal 6 binary32)))) (fma.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal -2 binary32)))))) |
(+.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal -2 binary32)) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal -2 binary32))) |
(log.f32 (pow.f32 (exp.f32 (neg.f32 (PI.f32))) (neg.f32 (PI.f32)))) |
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (PI.f32))) |
(*.f32 (neg.f32 (neg.f32 (neg.f32 (PI.f32)))) (neg.f32 (neg.f32 (neg.f32 (PI.f32))))) |
(*.f32 (fabs.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (cbrt.f32 (PI.f32))) |
(*.f32 (fabs.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (sqrt.f32 (PI.f32))) |
(*.f32 (pow.f32 (neg.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)) #s(literal 1 binary32)) (cbrt.f32 (PI.f32))) |
(*.f32 (pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal 1 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)) (cbrt.f32 (PI.f32))) |
(*.f32 (neg.f32 (neg.f32 (PI.f32))) (neg.f32 (neg.f32 (PI.f32)))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) |
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32))) |
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))) |
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (fabs.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32)))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (PI.f32))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) |
(*.f32 (PI.f32) (PI.f32)) |
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 6 binary32))) |
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 4 binary32))) |
(pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/3 binary32)) |
(pow.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32)) |
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32)) |
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 2/3 binary32)) |
(pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 3 binary32)) |
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) |
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(pow.f32 (PI.f32) #s(literal 2 binary32)) |
(fabs.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32))) |
(fabs.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32)))) |
(fabs.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32)))) |
(fabs.f32 (*.f32 (PI.f32) (PI.f32))) |
(+.f32 (cosh.f32 (log.f32 (*.f32 (PI.f32) (PI.f32)))) (sinh.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))) |
(+.f32 (cosh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (log.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32)))) |
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) |
(neg.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32))) |
(neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32)))) |
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) |
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 8 binary32))) (neg.f32 (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))) |
(/.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 8 binary32)) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (*.f32 maxCos #s(literal -4 binary32))))) |
(/.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 8 binary32)) (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)))) |
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) |
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 maxCos) #s(literal -2 binary32))) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
(fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) |
(+.f32 (/.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 3 binary32)) (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32)))) (/.f32 #s(literal 8 binary32) (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32))))) |
(+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) |
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos)) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32))) (fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (/.f32 (pow.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))) |
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))) |
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) |
(fma.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) #s(literal 1 binary32)) |
(fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32)) |
(+.f32 (*.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) |
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))) |
(*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) |
(*.f32 maxCos (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 (/.f32 ux maxCos) ux) #s(literal 2 binary32)) (pow.f32 maxCos #s(literal -2 binary32))) maxCos) (-.f32 (/.f32 ux maxCos) (-.f32 ux (/.f32 #s(literal 1 binary32) maxCos)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 (/.f32 ux maxCos) ux) #s(literal 3 binary32)) (pow.f32 maxCos #s(literal -3 binary32))) maxCos) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) maxCos) (-.f32 (/.f32 ux maxCos) ux) (pow.f32 maxCos #s(literal -2 binary32))) (pow.f32 (-.f32 (/.f32 ux maxCos) ux) #s(literal 2 binary32)))) |
(/.f32 (*.f32 maxCos (-.f32 (pow.f32 (-.f32 (/.f32 ux maxCos) ux) #s(literal 2 binary32)) (pow.f32 maxCos #s(literal -2 binary32)))) (-.f32 (/.f32 ux maxCos) (-.f32 ux (/.f32 #s(literal 1 binary32) maxCos)))) |
(/.f32 (*.f32 maxCos (-.f32 (pow.f32 (-.f32 (/.f32 ux maxCos) ux) #s(literal 3 binary32)) (pow.f32 maxCos #s(literal -3 binary32)))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) maxCos) (-.f32 (/.f32 ux maxCos) ux) (pow.f32 maxCos #s(literal -2 binary32))) (pow.f32 (-.f32 (/.f32 ux maxCos) ux) #s(literal 2 binary32)))) |
(*.f32 (*.f32 #s(literal 1 binary32) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) |
(*.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32)) |
(*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) |
(*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))) (+.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 3 binary32)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))) (+.f32 (+.f32 (pow.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 ux (*.f32 ux maxCos)))) |
(/.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (pow.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32))) |
(/.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (pow.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 ux (*.f32 ux maxCos)))) |
Compiled 34 124 to 3 424 computations (90% saved)
58 alts after pruning (56 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 665 | 30 | 695 |
| Fresh | 16 | 26 | 42 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 685 | 58 | 743 |
| Status | Accuracy | Program |
|---|---|---|
| 23.6% | (/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32)) | |
| 44.6% | (*.f32 (fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) | |
| 98.6% | (*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))) | |
| 69.8% | (*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) | |
| 98.6% | (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))) | |
| 57.8% | (*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) | |
| 41.2% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32))))) | |
| 42.4% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 55.4% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))))))) | |
| 58.8% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)))))) | |
| 20.6% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos))))) | |
| 77.0% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 #s(literal -1/2 binary32) ux) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))))))) | |
| ▶ | 99.0% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) |
| 98.8% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux))))) | |
| 77.0% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) | |
| 92.5% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux ux))))) | |
| 47.2% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))) | |
| 92.6% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))))) | |
| 98.0% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) | |
| 76.4% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux)))) | |
| 74.2% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) | |
| 69.9% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))) | |
| 19.9% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) #s(literal 2 binary32)))) | |
| 18.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) | |
| 19.2% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 ux) (sqrt.f32 ux) (-.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 48.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 19.3% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 51.0% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| ✓ | 50.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| 48.0% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))) | |
| ▶ | 25.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
| 48.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) | |
| 51.8% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) | |
| 19.6% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))) | |
| 19.8% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))))) | |
| 19.7% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 ux maxCos)))))) | |
| 25.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)))))) | |
| 63.4% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) | |
| 48.6% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) | |
| 48.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 21.3% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))))) | |
| ✓ | 50.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| 48.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) | |
| 6.6% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) | |
| 6.6% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) | |
| 19.7% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux))))) | |
| 19.7% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)))))) | |
| 63.4% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) | |
| ▶ | 76.6% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))) |
| 54.0% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 50.8% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| ▶ | 6.6% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
| 5.3% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 76.8% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) | |
| 76.8% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) | |
| ▶ | 48.6% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) |
| 10.0% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (*.f32 maxCos ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) | |
| 4.2% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) |
Compiled 4 798 to 3 096 computations (35.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) | |
| cost-diff | 0 | #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) | |
| cost-diff | 0 | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))) | |
| cost-diff | 1 | (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) | |
| cost-diff | 0 | (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))) | |
| cost-diff | 0 | (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))) | |
| cost-diff | 0 | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) | |
| cost-diff | 0 | #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) | |
| cost-diff | 0 | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) | |
| cost-diff | 1 | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) | |
| cost-diff | 1 | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))) | |
| cost-diff | 0 | (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)) | |
| cost-diff | 0 | #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))) | |
| cost-diff | 0 | #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) | |
| cost-diff | 0 | (*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) | |
| cost-diff | 0 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) | |
| cost-diff | 0 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) | |
| cost-diff | 1 | (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) | |
| cost-diff | 1 | (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 835 |
| 0 | 129 | 798 |
| 1 | 234 | 753 |
| 2 | 565 | 735 |
| 3 | 1932 | 735 |
| 4 | 4594 | 732 |
| 0 | 8378 | 729 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))) |
#s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)) |
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux) |
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) |
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) |
(-.f32 #s(literal 1 binary32) maxCos) |
#s(literal 1 binary32) |
maxCos |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux) |
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) |
ux |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
#s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) |
#s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))) |
(*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)) |
(*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) |
(*.f32 (*.f32 uy uy) #s(literal -2 binary32)) |
(*.f32 uy uy) |
uy |
#s(literal -2 binary32) |
(PI.f32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)) |
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) |
(*.f32 (PI.f32) (PI.f32)) |
(PI.f32) |
#s(literal -2 binary32) |
(*.f32 uy uy) |
uy |
#s(literal 1 binary32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))) |
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))) |
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(-.f32 #s(literal 1 binary32) ux) |
ux |
(*.f32 ux maxCos) |
maxCos |
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) |
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) |
(-.f32 maxCos #s(literal 1 binary32)) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))) |
#s(literal 1 binary32) |
(pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)) |
(-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) |
ux |
(fma.f32 ux maxCos #s(literal 1 binary32)) |
maxCos |
#s(literal 2 binary32) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(*.f32 (*.f32 uy uy) #s(literal -2 binary32)) |
(*.f32 uy uy) |
uy |
#s(literal -2 binary32) |
(*.f32 (PI.f32) (PI.f32)) |
(PI.f32) |
#s(literal 1 binary32) |
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))) |
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)) |
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux) |
(-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
maxCos |
#s(literal 2 binary32) |
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) |
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) |
(-.f32 maxCos #s(literal 1 binary32)) |
ux |
| Outputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) |
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos)) ux))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)) |
(*.f32 uy #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) uy) |
uy |
#s(literal 2 binary32) |
(PI.f32) |
(sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))) |
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos)) ux))) |
#s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)) |
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos)) ux)) |
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux) |
(*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos)) ux) |
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) |
(*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos)) |
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
(-.f32 #s(literal 1 binary32) maxCos) |
#s(literal 1 binary32) |
maxCos |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux) |
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) |
ux |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))) #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))))) |
#s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) |
#s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))) |
(*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)) |
(*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) |
(*.f32 (*.f32 uy uy) #s(literal -2 binary32)) |
(*.f32 uy uy) |
uy |
#s(literal -2 binary32) |
(PI.f32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32)))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)) |
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) |
(*.f32 (PI.f32) (PI.f32)) |
(PI.f32) |
#s(literal -2 binary32) |
(*.f32 uy uy) |
uy |
#s(literal 1 binary32) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))) |
(sqrt.f32 (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))) |
(fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32)) |
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))) |
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) |
(-.f32 #s(literal 1 binary32) ux) |
ux |
(*.f32 ux maxCos) |
(*.f32 maxCos ux) |
maxCos |
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) |
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) |
(-.f32 maxCos #s(literal 1 binary32)) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32))))) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32))) |
#s(literal 1 binary32) |
(pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)) |
(pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)) |
(-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) |
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) |
ux |
(fma.f32 ux maxCos #s(literal 1 binary32)) |
(fma.f32 maxCos ux #s(literal 1 binary32)) |
maxCos |
#s(literal 2 binary32) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))) |
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos)) ux))) #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)) |
(*.f32 (*.f32 uy uy) #s(literal -2 binary32)) |
(*.f32 uy uy) |
uy |
#s(literal -2 binary32) |
(*.f32 (PI.f32) (PI.f32)) |
(PI.f32) |
#s(literal 1 binary32) |
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))) |
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos)) ux))) |
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)) |
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos)) ux)) |
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux) |
(*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos)) ux) |
(-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) |
(*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos)) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
maxCos |
#s(literal 2 binary32) |
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux) |
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) |
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) |
(-.f32 maxCos #s(literal 1 binary32)) |
ux |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0 | (*.f32 (PI.f32) (PI.f32)) | |
| accuracy | 2.392675728495496 | (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) | |
| accuracy | 3.211025896906581 | #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) | |
| accuracy | 29.478363594007824 | (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) | |
| accuracy | 0.44921875 | (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)) | |
| accuracy | 5.855278200823246 | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) | |
| accuracy | 13.08797032170482 | (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))) | |
| accuracy | 27.421659021745032 | (fma.f32 ux maxCos #s(literal 1 binary32)) | |
| accuracy | 3.211025896906581 | #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) | |
| accuracy | 6.127137080226681 | (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)) | |
| accuracy | 9.034951761389971 | (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) | |
| accuracy | 13.08797032170482 | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))) | |
| accuracy | 3.211025896906581 | #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) | |
| accuracy | 9.800980144402502 | #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) | |
| accuracy | 13.08797032170482 | (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) | |
| accuracy | 30.230966435914727 | #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))) | |
| accuracy | 0.12239793710950655 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) | |
| accuracy | 0.1328125 | (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux) | |
| accuracy | 0.14453125 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) | |
| accuracy | 0.30859375 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| 106.0ms | 250× | 0 | valid |
| 4.0ms | 6× | 1 | valid |
Compiled 605 to 56 computations (90.7% saved)
ival-mult: 44.0ms (52.4% of total)ival-sub: 12.0ms (14.3% of total)ival-cosu: 8.0ms (9.5% of total)ival-pow2: 7.0ms (8.3% of total)ival-add: 6.0ms (7.2% of total)ival-sqrt: 5.0ms (6% of total)ival-pi: 1.0ms (1.2% of total)adjust: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) |
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
#s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) |
#s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))) |
(*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)) |
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))) |
(pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)) |
(-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux) |
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) |
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) |
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) |
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)) |
(fma.f32 ux maxCos #s(literal 1 binary32)) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
(*.f32 (PI.f32) (PI.f32)) |
| Outputs |
|---|
(* 2 (- 1 maxCos)) |
(+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos))) |
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3))))))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5))))))))) |
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) |
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) |
(* ux (- 2 (* 2 maxCos))) |
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) |
1 |
(+ 1 (* ux (- maxCos 1))) |
(* (sqrt (* ux (- 1 maxCos))) (sqrt 2)) |
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ 1 (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (sqrt 2))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (sqrt 2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ 1 (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ 1 (pow (sqrt 2) 3))))))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (sqrt 2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ 1 (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ 1 (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ 1 (pow (sqrt 2) 5))))))))) |
(* 2 (* ux (- 1 maxCos))) |
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos)))) |
(+ 1 (* -2 (* ux (- 1 maxCos)))) |
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2))))) |
(+ 2 (* -2 maxCos)) |
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))) |
(* ux (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos)))) |
(+ 1 (* ux (- (* 2 maxCos) 2))) |
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) |
(+ 1 (* maxCos ux)) |
(* -1 (* ux (pow (- 1 maxCos) 2))) |
(* ux (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos)))) |
(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) |
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) |
(* ux (- maxCos 1)) |
(* ux (- (+ maxCos (/ 1 ux)) 1)) |
(* ux (* (sqrt -1) (- 1 maxCos))) |
(* ux (+ (* (sqrt -1) (- 1 maxCos)) (/ 1 (* ux (sqrt -1))))) |
(* ux (- (+ (* (sqrt -1) (- 1 maxCos)) (/ 1 (* ux (sqrt -1)))) (/ 1/2 (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos)))))) |
(* ux (- (+ (* (sqrt -1) (- 1 maxCos)) (+ (/ 1 (* ux (sqrt -1))) (* 1/2 (/ 1 (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))))) (* 1/2 (/ 1 (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))))) |
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2))) |
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(* (pow ux 2) (pow (- 1 maxCos) 2)) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2)))) |
(* -1 (* ux (pow (- maxCos 1) 2))) |
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2))) |
(* (pow ux 2) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ (- 1 maxCos) ux)))) |
(* (pow ux 2) (pow (- maxCos 1) 2)) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) |
(* maxCos ux) |
(* ux (+ maxCos (/ 1 ux))) |
(* -1 (* ux (- (* -2 (/ (- 1 maxCos) ux)) (* -1 (pow (- 1 maxCos) 2))))) |
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) |
(* -1 (* ux (+ 1 (* -1 maxCos)))) |
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) |
(* -1 (* ux (* (sqrt -1) (+ 1 (* -1 maxCos))))) |
(* -1 (* ux (+ (* 1/2 (/ (+ 2 (* -2 maxCos)) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (pow (+ 2 (* -2 maxCos)) 3) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) |
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2))))) |
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux)))) |
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux)))) |
(sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))) |
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4)))))) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))) |
(* -2 (* (pow uy 2) (pow (PI) 2))) |
(* 2 (* uy (PI))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))) |
(cos (* 2 (* uy (PI)))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))) |
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2)))) |
(- 2 ux) |
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux) |
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux) |
2 |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) |
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) |
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) |
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(- 1 (pow (- 1 ux) 2)) |
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) |
(- 1 ux) |
(- (+ 1 (* maxCos ux)) ux) |
(sqrt (- 1 (pow (- ux 1) 2))) |
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* (* maxCos (* ux (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) |
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* maxCos (+ (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (- ux 1)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))))) |
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* maxCos (+ (* maxCos (+ (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1)))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (- ux 1)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))))) |
(- 1 (pow (- ux 1) 2)) |
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2)) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2)) |
(pow (- ux 1) 2) |
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2)) |
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2)) |
(* ux (- 2 ux)) |
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux))) |
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux))) |
(pow (- 1 ux) 2) |
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) |
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) |
(+ 1 (* -1 ux)) |
(+ 1 (+ (* -1 ux) (* maxCos ux))) |
(* -1 (* (pow maxCos 2) ux)) |
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux)) |
(* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2))))))) |
(* -2 maxCos) |
(* maxCos (- (* 2 (/ 1 maxCos)) 2)) |
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))) |
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))) |
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))) |
(* -1 (* (pow maxCos 2) (pow ux 2))) |
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) |
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) |
(* maxCos (* ux (sqrt -1))) |
(* maxCos (- (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))) (/ 1 (* maxCos (sqrt -1))))) |
(* maxCos (- (+ (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1))))) (/ 1 (* maxCos (sqrt -1))))) |
(* maxCos (- (+ (* -1/2 (/ (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))))) (/ 1 (* maxCos (sqrt -1))))) |
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))) |
(* (pow maxCos 2) (pow ux 2)) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))) |
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2)))) |
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2))))) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) |
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos)))) |
(* maxCos (+ ux (/ 1 maxCos))) |
(* (pow maxCos 2) (- (* -1 (/ (- 2 (* 2 ux)) maxCos)) ux)) |
(* (pow maxCos 2) (- (* -1 (/ (- (+ 2 (* -1 (/ (- 2 ux) maxCos))) (* 2 ux)) maxCos)) ux)) |
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos))))) |
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) |
(* -1 (* maxCos (* ux (sqrt -1)))) |
(* -1 (* maxCos (- (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))) (/ 1 (* maxCos (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (- ux 1) (sqrt -1))) (* -1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (sqrt -1))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* ux (sqrt -1))))) maxCos)) (* -1 (/ (- ux 1) (sqrt -1)))) maxCos)) (* ux (sqrt -1))))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2)))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2)))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos))))) |
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | ux | @ | 0 | ((- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (* (- 1 maxCos) 2) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* (* (* uy uy) -2) (PI)) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (pow (- ux (+ (* ux maxCos) 1)) 2) (- (+ (* -2 maxCos) 2) (* (pow (- maxCos 1) 2) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy 2) (PI)) (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (- maxCos 1) ux) 1) (+ (* (* (* (PI) (PI)) -2) (* uy uy)) 1) (+ (* ux maxCos) 1) (+ (* -2 maxCos) 2) (* (PI) (PI))) |
| 3.0ms | ux | @ | -inf | ((- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (* (- 1 maxCos) 2) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* (* (* uy uy) -2) (PI)) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (pow (- ux (+ (* ux maxCos) 1)) 2) (- (+ (* -2 maxCos) 2) (* (pow (- maxCos 1) 2) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy 2) (PI)) (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (- maxCos 1) ux) 1) (+ (* (* (* (PI) (PI)) -2) (* uy uy)) 1) (+ (* ux maxCos) 1) (+ (* -2 maxCos) 2) (* (PI) (PI))) |
| 2.0ms | ux | @ | inf | ((- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (* (- 1 maxCos) 2) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* (* (* uy uy) -2) (PI)) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (pow (- ux (+ (* ux maxCos) 1)) 2) (- (+ (* -2 maxCos) 2) (* (pow (- maxCos 1) 2) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy 2) (PI)) (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (- maxCos 1) ux) 1) (+ (* (* (* (PI) (PI)) -2) (* uy uy)) 1) (+ (* ux maxCos) 1) (+ (* -2 maxCos) 2) (* (PI) (PI))) |
| 2.0ms | maxCos | @ | inf | ((- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (* (- 1 maxCos) 2) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* (* (* uy uy) -2) (PI)) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (pow (- ux (+ (* ux maxCos) 1)) 2) (- (+ (* -2 maxCos) 2) (* (pow (- maxCos 1) 2) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy 2) (PI)) (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (- maxCos 1) ux) 1) (+ (* (* (* (PI) (PI)) -2) (* uy uy)) 1) (+ (* ux maxCos) 1) (+ (* -2 maxCos) 2) (* (PI) (PI))) |
| 2.0ms | maxCos | @ | -inf | ((- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (* (- 1 maxCos) 2) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* (* (* uy uy) -2) (PI)) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (pow (- ux (+ (* ux maxCos) 1)) 2) (- (+ (* -2 maxCos) 2) (* (pow (- maxCos 1) 2) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy 2) (PI)) (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (- maxCos 1) ux) 1) (+ (* (* (* (PI) (PI)) -2) (* uy uy)) 1) (+ (* ux maxCos) 1) (+ (* -2 maxCos) 2) (* (PI) (PI))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 888 | 5340 |
| 1 | 3152 | 5241 |
| 0 | 8079 | 4995 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (- 1 maxCos)) |
(+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos))) |
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3))))))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5))))))))) |
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) |
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) |
(* ux (- 2 (* 2 maxCos))) |
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) |
1 |
(+ 1 (* ux (- maxCos 1))) |
(* (sqrt (* ux (- 1 maxCos))) (sqrt 2)) |
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ 1 (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (sqrt 2))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (sqrt 2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ 1 (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ 1 (pow (sqrt 2) 3))))))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (sqrt 2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ 1 (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ 1 (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ 1 (pow (sqrt 2) 5))))))))) |
(* 2 (* ux (- 1 maxCos))) |
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos)))) |
(+ 1 (* -2 (* ux (- 1 maxCos)))) |
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2))))) |
(+ 2 (* -2 maxCos)) |
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))) |
(* ux (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos)))) |
(+ 1 (* ux (- (* 2 maxCos) 2))) |
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) |
(+ 1 (* maxCos ux)) |
(* -1 (* ux (pow (- 1 maxCos) 2))) |
(* ux (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos)))) |
(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) |
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) |
(* ux (- maxCos 1)) |
(* ux (- (+ maxCos (/ 1 ux)) 1)) |
(* ux (* (sqrt -1) (- 1 maxCos))) |
(* ux (+ (* (sqrt -1) (- 1 maxCos)) (/ 1 (* ux (sqrt -1))))) |
(* ux (- (+ (* (sqrt -1) (- 1 maxCos)) (/ 1 (* ux (sqrt -1)))) (/ 1/2 (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos)))))) |
(* ux (- (+ (* (sqrt -1) (- 1 maxCos)) (+ (/ 1 (* ux (sqrt -1))) (* 1/2 (/ 1 (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))))) (* 1/2 (/ 1 (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))))) |
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2))) |
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(* (pow ux 2) (pow (- 1 maxCos) 2)) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2)))) |
(* -1 (* ux (pow (- maxCos 1) 2))) |
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2))) |
(* (pow ux 2) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ (- 1 maxCos) ux)))) |
(* (pow ux 2) (pow (- maxCos 1) 2)) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) |
(* maxCos ux) |
(* ux (+ maxCos (/ 1 ux))) |
(* -1 (* ux (- (* -2 (/ (- 1 maxCos) ux)) (* -1 (pow (- 1 maxCos) 2))))) |
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) |
(* -1 (* ux (+ 1 (* -1 maxCos)))) |
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) |
(* -1 (* ux (* (sqrt -1) (+ 1 (* -1 maxCos))))) |
(* -1 (* ux (+ (* 1/2 (/ (+ 2 (* -2 maxCos)) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (pow (+ 2 (* -2 maxCos)) 3) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) |
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2))))) |
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux)))) |
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux)))) |
(sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))) |
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4)))))) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))) |
(* -2 (* (pow uy 2) (pow (PI) 2))) |
(* 2 (* uy (PI))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))) |
(cos (* 2 (* uy (PI)))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))) |
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2)))) |
(- 2 ux) |
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux) |
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux) |
2 |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) |
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) |
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) |
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(- 1 (pow (- 1 ux) 2)) |
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) |
(- 1 ux) |
(- (+ 1 (* maxCos ux)) ux) |
(sqrt (- 1 (pow (- ux 1) 2))) |
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* (* maxCos (* ux (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) |
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* maxCos (+ (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (- ux 1)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))))) |
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* maxCos (+ (* maxCos (+ (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1)))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (- ux 1)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))))) |
(- 1 (pow (- ux 1) 2)) |
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2)) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2)) |
(pow (- ux 1) 2) |
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2)) |
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2)) |
(* ux (- 2 ux)) |
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux))) |
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux))) |
(pow (- 1 ux) 2) |
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) |
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) |
(+ 1 (* -1 ux)) |
(+ 1 (+ (* -1 ux) (* maxCos ux))) |
(* -1 (* (pow maxCos 2) ux)) |
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux)) |
(* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2))))))) |
(* -2 maxCos) |
(* maxCos (- (* 2 (/ 1 maxCos)) 2)) |
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))) |
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))) |
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))) |
(* -1 (* (pow maxCos 2) (pow ux 2))) |
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) |
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) |
(* maxCos (* ux (sqrt -1))) |
(* maxCos (- (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))) (/ 1 (* maxCos (sqrt -1))))) |
(* maxCos (- (+ (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1))))) (/ 1 (* maxCos (sqrt -1))))) |
(* maxCos (- (+ (* -1/2 (/ (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))))) (/ 1 (* maxCos (sqrt -1))))) |
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))) |
(* (pow maxCos 2) (pow ux 2)) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))) |
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2)))) |
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2))))) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) |
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos)))) |
(* maxCos (+ ux (/ 1 maxCos))) |
(* (pow maxCos 2) (- (* -1 (/ (- 2 (* 2 ux)) maxCos)) ux)) |
(* (pow maxCos 2) (- (* -1 (/ (- (+ 2 (* -1 (/ (- 2 ux) maxCos))) (* 2 ux)) maxCos)) ux)) |
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos))))) |
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) |
(* -1 (* maxCos (* ux (sqrt -1)))) |
(* -1 (* maxCos (- (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))) (/ 1 (* maxCos (sqrt -1)))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (- ux 1) (sqrt -1))) (* -1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (sqrt -1))))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* ux (sqrt -1))))) maxCos)) (* -1 (/ (- ux 1) (sqrt -1)))) maxCos)) (* ux (sqrt -1))))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2)))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2)))) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) |
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos))))) |
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos)))) |
| Outputs |
|---|
(* 2 (- 1 maxCos)) |
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) |
(+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos))) |
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) |
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) |
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))) |
(fma.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32)))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) ux))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 7 binary32)) ux))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) |
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) |
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) |
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))) |
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) |
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) #s(literal -1/16 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) |
(* ux (- 2 (* 2 maxCos))) |
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) |
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos))) |
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux) |
1 |
#s(literal 1 binary32) |
(+ 1 (* ux (- maxCos 1))) |
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) |
(* (sqrt (* ux (- 1 maxCos))) (sqrt 2)) |
(*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) |
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ 1 (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (sqrt 2))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (sqrt 2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ 1 (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ 1 (pow (sqrt 2) 3))))))) |
(fma.f32 (fma.f32 (*.f32 (/.f32 (sqrt.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) ux)) (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal -1/8 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) |
(+ (* (sqrt (* ux (- 1 maxCos))) (sqrt 2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ 1 (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ 1 (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ 1 (pow (sqrt 2) 5))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal -1/8 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 7 binary32)) ux))) #s(literal -1/16 binary32))) (*.f32 ux ux) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) |
(* 2 (* ux (- 1 maxCos))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) |
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos)))) |
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux) |
(+ 1 (* -2 (* ux (- 1 maxCos)))) |
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32)) |
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2))))) |
(fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32))) ux #s(literal 1 binary32)) |
(+ 2 (* -2 maxCos)) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))) |
(-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) |
(* ux (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos)))) |
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux) |
(+ 1 (* ux (- (* 2 maxCos) 2))) |
(fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)) |
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) |
(fma.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32)) |
(+ 1 (* maxCos ux)) |
(fma.f32 ux maxCos #s(literal 1 binary32)) |
(* -1 (* ux (pow (- 1 maxCos) 2))) |
(*.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) |
(* ux (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos)))) |
(*.f32 (*.f32 ux (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) |
(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))) |
(*.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) ux) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (*.f32 ux ux)) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) ux) |
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) ux) |
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) |
(*.f32 (*.f32 ux (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)))) |
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 maxCos #s(literal 1 binary32)))) ux) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))))) ux) |
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 maxCos #s(literal 1 binary32)))))) ux) |
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) |
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) |
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) |
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* ux (- maxCos 1)) |
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) |
(* ux (- (+ maxCos (/ 1 ux)) 1)) |
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) |
(* ux (* (sqrt -1) (- 1 maxCos))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (-.f32 #s(literal 1 binary32) maxCos)) |
(* ux (+ (* (sqrt -1) (- 1 maxCos)) (/ 1 (* ux (sqrt -1))))) |
(*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) ux) |
(* ux (- (+ (* (sqrt -1) (- 1 maxCos)) (/ 1 (* ux (sqrt -1)))) (/ 1/2 (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos)))))) |
(*.f32 (-.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux ux)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) ux) |
(* ux (- (+ (* (sqrt -1) (- 1 maxCos)) (+ (/ 1 (* ux (sqrt -1))) (* 1/2 (/ 1 (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))))) (* 1/2 (/ 1 (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))))) |
(*.f32 (-.f32 (+.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 ux #s(literal 3 binary32))))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux ux)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) ux) |
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2))) |
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) |
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* (pow ux 2) (pow (- 1 maxCos) 2)) |
(*.f32 (*.f32 ux ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))) |
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2)))) |
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (*.f32 ux ux)) |
(* -1 (* ux (pow (- maxCos 1) 2))) |
(*.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) |
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2))) |
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) |
(* (pow ux 2) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ (- 1 maxCos) ux)))) |
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* (pow ux 2) (pow (- maxCos 1) 2)) |
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) |
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) |
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) |
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) |
(* maxCos ux) |
(*.f32 ux maxCos) |
(* ux (+ maxCos (/ 1 ux))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) ux) |
(* -1 (* ux (- (* -2 (/ (- 1 maxCos) ux)) (* -1 (pow (- 1 maxCos) 2))))) |
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) |
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(*.f32 (*.f32 ux (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)))) |
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux))) (neg.f32 ux)))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) |
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) ux) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) #s(literal -1/8 binary32))) (neg.f32 ux))) (neg.f32 ux)))) |
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) |
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) |
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) |
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* -1 (* ux (+ 1 (* -1 maxCos)))) |
(*.f32 (neg.f32 ux) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) |
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) |
(*.f32 (neg.f32 ux) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) |
(* -1 (* ux (* (sqrt -1) (+ 1 (* -1 maxCos))))) |
(*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) |
(* -1 (* ux (+ (* 1/2 (/ (+ 2 (* -2 maxCos)) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(*.f32 (neg.f32 ux) (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)))))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(*.f32 (neg.f32 ux) (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) ux) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) #s(literal 1/8 binary32))) (neg.f32 ux)))) |
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (pow (+ 2 (* -2 maxCos)) 3) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) |
(*.f32 (neg.f32 ux) (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 ux (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 5 binary32))) (*.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) #s(literal -1/8 binary32))) (neg.f32 ux))) (neg.f32 ux)))) |
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) |
(*.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) |
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal -1 binary32) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) |
(*.f32 (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) |
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2))))) |
(*.f32 (neg.f32 ux) (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) |
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux)))) |
(*.f32 (neg.f32 ux) (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux))) |
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux)))) |
(*.f32 (neg.f32 ux) (-.f32 (neg.f32 maxCos) (/.f32 #s(literal 1 binary32) ux))) |
(sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) |
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) |
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) |
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 uy uy) #s(literal 1 binary32)) |
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 uy uy) #s(literal 1 binary32)) |
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) |
(fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 uy uy))) #s(literal -2 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))) |
(fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 uy uy))) #s(literal 2/3 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))))) |
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal 2/3 binary32) (*.f32 (*.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))))) |
(* -2 (* (pow uy 2) (pow (PI) 2))) |
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) |
(* 2 (* uy (PI))) |
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) |
(cos (* 2 (* uy (PI)))) |
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) |
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2)))) |
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy uy)) |
(- 2 ux) |
(-.f32 #s(literal 2 binary32) ux) |
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux) |
(-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux) |
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux) |
(-.f32 (fma.f32 (-.f32 (*.f32 (neg.f32 maxCos) ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))) maxCos #s(literal 2 binary32)) ux) |
2 |
#s(literal 2 binary32) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) |
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 ux maxCos) (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) |
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(fma.f32 (fma.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) |
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 ux maxCos) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 ux #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))) maxCos (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) |
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) |
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(fma.f32 (neg.f32 (*.f32 (*.f32 ux maxCos) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(fma.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) |
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 ux maxCos) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) |
(- 1 (pow (- 1 ux) 2)) |
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) |
(-.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) |
(-.f32 (fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(- 1 ux) |
(-.f32 #s(literal 1 binary32) ux) |
(- (+ 1 (* maxCos ux)) ux) |
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) |
(sqrt (- 1 (pow (- ux 1) 2))) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* (* maxCos (* ux (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) |
(fma.f32 (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) |
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* maxCos (+ (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (- ux 1)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) maxCos) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal -1/2 binary32) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))))) maxCos (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) |
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* maxCos (+ (* maxCos (+ (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1)))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (- ux 1)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 ux maxCos) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 ux #s(literal 1 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32)))))) maxCos (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))))) maxCos (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) |
(- 1 (pow (- ux 1) 2)) |
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) |
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2)) |
(-.f32 (fma.f32 (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) |
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2)) |
(-.f32 (fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) |
(pow (- ux 1) 2) |
(pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) |
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2)) |
(fma.f32 (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) |
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2)) |
(fma.f32 (fma.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) |
(* ux (- 2 ux)) |
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux) |
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux))) |
(-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos)) |
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux))) |
(fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)) |
(pow (- 1 ux) 2) |
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) |
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) |
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) |
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) |
(+ 1 (* -1 ux)) |
(fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) |
(+ 1 (+ (* -1 ux) (* maxCos ux))) |
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32)) |
(* -1 (* (pow maxCos 2) ux)) |
(*.f32 (*.f32 maxCos maxCos) (neg.f32 ux)) |
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux)) |
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) (neg.f32 maxCos)) ux) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2))))))) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (/.f32 ux (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos)) |
(* -2 maxCos) |
(*.f32 #s(literal -2 binary32) maxCos) |
(* maxCos (- (* 2 (/ 1 maxCos)) 2)) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos) |
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))) |
(*.f32 (*.f32 ux maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) |
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))) |
(*.f32 (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux)) maxCos) |
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux))) maxCos) |
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux)))) maxCos) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(*.f32 (fma.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux)) maxCos) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux))) maxCos) |
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))) |
(*.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux)))) maxCos) |
(* -1 (* (pow maxCos 2) (pow ux 2))) |
(*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos)) |
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) |
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos) |
(* maxCos (* ux (sqrt -1))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) |
(* maxCos (- (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))) (/ 1 (* maxCos (sqrt -1))))) |
(*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos) |
(* maxCos (- (+ (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1))))) (/ 1 (* maxCos (sqrt -1))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))) maxCos) |
(* maxCos (- (+ (* -1/2 (/ (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))))) (/ 1 (* maxCos (sqrt -1))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))) maxCos) |
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (pow ux 2)) |
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux)) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2)))) |
(*.f32 (neg.f32 (fma.f32 ux ux (*.f32 ux (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2))))) |
(*.f32 (fma.f32 (neg.f32 ux) (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (*.f32 (neg.f32 ux) ux))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos)) |
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos)))) |
(*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux) maxCos) |
(* maxCos (+ ux (/ 1 maxCos))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) maxCos) ux) maxCos) |
(* (pow maxCos 2) (- (* -1 (/ (- 2 (* 2 ux)) maxCos)) ux)) |
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) (neg.f32 maxCos)) ux) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (- (* -1 (/ (- (+ 2 (* -1 (/ (- 2 ux) maxCos))) (* 2 ux)) maxCos)) ux)) |
(*.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) ux)) (neg.f32 maxCos)) ux) (*.f32 maxCos maxCos)) |
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos))))) |
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos))) |
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))) |
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) |
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (PI.f32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos)))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (neg.f32 (fma.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) #s(literal 1/2 binary32))) maxCos))) (neg.f32 maxCos)))) |
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 ux maxCos)) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos)))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) (neg.f32 maxCos))) (neg.f32 maxCos)))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) |
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) |
(*.f32 (neg.f32 maxCos) (neg.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))) |
(* -1 (* maxCos (* ux (sqrt -1)))) |
(*.f32 (neg.f32 maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) |
(* -1 (* maxCos (- (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))) (/ 1 (* maxCos (sqrt -1)))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (- ux 1) (sqrt -1))) (* -1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (sqrt -1))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 ux maxCos)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (neg.f32 (-.f32 ux #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos)))) |
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* ux (sqrt -1))))) maxCos)) (* -1 (/ (- ux 1) (sqrt -1)))) maxCos)) (* ux (sqrt -1))))) |
(*.f32 (neg.f32 maxCos) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (+.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) maxCos))) (neg.f32 maxCos)))) |
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2))) |
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (-.f32 ux #s(literal 1 binary32)) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (neg.f32 maxCos))) (neg.f32 maxCos))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2)))) |
(*.f32 (neg.f32 (fma.f32 ux ux (*.f32 ux (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2)))) |
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)) maxCos))) (*.f32 maxCos maxCos)) |
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) |
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (neg.f32 maxCos))) (neg.f32 maxCos))) (*.f32 maxCos maxCos)) |
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos))))) |
(*.f32 (neg.f32 maxCos) (neg.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux))) |
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos)))) |
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) maxCos))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 499 |
| 0 | 129 | 452 |
| 1 | 490 | 443 |
| 2 | 3513 | 426 |
| 0 | 8451 | 417 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) |
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) |
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
#s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) |
#s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))) |
(*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)) |
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))) |
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))) |
(pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)) |
(-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))) |
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux) |
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) |
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) |
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) |
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)) |
(fma.f32 ux maxCos #s(literal 1 binary32)) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
(*.f32 (PI.f32) (PI.f32)) |
| Outputs |
|---|
(/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) #s(literal 8 binary32) (pow.f32 (neg.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (neg.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal 2 binary32)))) (neg.f32 (fma.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 3 binary32)) (pow.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))))))) |
(/.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal 2 binary32))) (fma.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 3 binary32)) (pow.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal 3 binary32))) (fma.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))))) |
(-.f32 (/.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (pow.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))))) (/.f32 (pow.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))))))) |
(-.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (neg.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) ux)) |
(-.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) |
(fma.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))) |
(fma.f32 ux (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))) |
(fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) |
(fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos) (neg.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32) (*.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32) (neg.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))) |
(+.f32 (neg.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))) |
(+.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) |
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(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))))) (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) |
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(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (*.f32 ux maxCos) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos)))) |
(/.f32 (-.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 ux maxCos) #s(literal 1 binary32))) |
(/.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) (*.f32 ux maxCos)))) |
(/.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos))) |
(-.f32 (/.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) (-.f32 (*.f32 ux maxCos) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux maxCos) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) maxCos)) |
(fma.f32 (*.f32 ux maxCos) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 ux maxCos #s(literal 1 binary32)) |
(fma.f32 maxCos ux #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 ux maxCos) #s(literal 1 binary32)) |
(+.f32 (/.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 3 binary32)) (-.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 ux maxCos)))) |
(+.f32 (*.f32 ux maxCos) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)) |
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 8 binary32))) (neg.f32 (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))) |
(/.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 8 binary32)) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (*.f32 maxCos #s(literal -4 binary32))))) |
(/.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 8 binary32)) (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)))) |
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) |
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 maxCos) #s(literal -2 binary32))) |
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) |
(fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) |
(+.f32 (/.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 3 binary32)) (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32)))) (/.f32 #s(literal 8 binary32) (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32))))) |
(+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) |
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos)) |
(log.f32 (pow.f32 (exp.f32 (neg.f32 (PI.f32))) (neg.f32 (PI.f32)))) |
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (PI.f32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (sqrt.f32 (PI.f32))) |
(*.f32 (pow.f32 (neg.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)) #s(literal 1 binary32)) (cbrt.f32 (PI.f32))) |
(*.f32 (pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal 1 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32)) (pow.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) |
(*.f32 (pow.f32 (fabs.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)) (cbrt.f32 (PI.f32))) |
(*.f32 (neg.f32 (neg.f32 (PI.f32))) (neg.f32 (neg.f32 (PI.f32)))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) |
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32))) |
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))) |
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (PI.f32))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) |
(*.f32 (PI.f32) (PI.f32)) |
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 6 binary32))) |
(pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/3 binary32)) |
(pow.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32)) |
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32)) |
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 2/3 binary32)) |
(pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 3 binary32)) |
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) |
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(pow.f32 (PI.f32) #s(literal 2 binary32)) |
(fabs.f32 (*.f32 (PI.f32) (PI.f32))) |
(+.f32 (cosh.f32 (log.f32 (*.f32 (PI.f32) (PI.f32)))) (sinh.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))) |
(+.f32 (cosh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (log.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32)))) |
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) |
(neg.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32))) |
(neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32)))) |
Compiled 37 608 to 3 696 computations (90.2% saved)
63 alts after pruning (61 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 651 | 27 | 678 |
| Fresh | 17 | 34 | 51 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 1 | 2 |
| Total | 673 | 63 | 736 |
| Status | Accuracy | Program |
|---|---|---|
| 24.4% | (/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32)) | |
| 75.0% | (*.f32 (fma.f32 (sin.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) | |
| 44.5% | (*.f32 (fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) | |
| 98.6% | (*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))) | |
| 98.8% | (*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) | |
| 98.7% | (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) | |
| 57.8% | (*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) | |
| 41.7% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32))))) | |
| 42.4% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 55.4% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))))))) | |
| 58.8% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)))))) | |
| 98.8% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux))))) | |
| 77.0% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) | |
| 92.5% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux ux))))) | |
| 91.8% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux)))) | |
| 92.7% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux)))) | |
| 46.0% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (/.f32 ux (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))) ux)))) | |
| 47.2% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))) | |
| 92.6% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))))) | |
| 91.8% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos)))))) | |
| 98.0% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) | |
| 74.2% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) | |
| 19.9% | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) #s(literal 2 binary32)))) | |
| 19.3% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| ✓ | 50.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| 48.0% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))) | |
| ✓ | 25.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
| 51.0% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))))))) | |
| 51.8% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) | |
| 19.6% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))) | |
| 20.2% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))))) | |
| 19.7% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 ux maxCos)))))) | |
| 11.3% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux) maxCos))))))) | |
| 51.8% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (neg.f32 ux) (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux))))))))) | |
| 25.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)))))) | |
| 25.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) | |
| 26.1% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) | |
| 11.2% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) | |
| 63.4% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) | |
| 48.6% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) | |
| 48.9% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 21.8% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))))) | |
| 6.6% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) | |
| 19.7% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux))))) | |
| 81.5% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 #s(literal 2 binary32) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) | |
| 4.2% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (/.f32 (-.f32 (*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal -2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))) | |
| 54.0% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 50.8% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 4.5% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))) | |
| 5.3% | (*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) | |
| 76.8% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) | |
| 76.8% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) | |
| 26.8% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) | |
| 48.9% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))) | |
| 48.6% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) | |
| 6.6% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32)))))) | |
| 19.7% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux)))))) | |
| 81.4% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))) | |
| 81.5% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) | |
| 65.5% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) | |
| -0.0% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))) | |
| 65.4% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))) | |
| 4.1% | #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) |
Compiled 8 544 to 2 613 computations (69.4% saved)
| Inputs |
|---|
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
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(*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (/.f32 (-.f32 (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos)) #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)))))) |
(*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32))))) |
(*.f32 (fma.f32 (sin.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) |
(*.f32 (fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(/.f32 (+.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (-.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32)) |
(/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32)) |
(/.f32 (+.f32 (sin.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (sin.f32 (+.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32)) |
(/.f32 (+.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (cos.f32 (-.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)) (asin.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #s(literal 2 binary32)) |
(*.f32 (cos.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(/.f32 (+.f32 (sin.f32 (-.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sin.f32 (+.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) #s(literal 2 binary32)) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (/.f32 (-.f32 (*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal -2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))) |
(*.f32 (cos.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.f32 (PI.f32)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) |
(*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) |
(*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(fma.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 0 binary32)) (*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 1 binary32)))) |
| Outputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) |
11 calls:
| 58.0ms | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
| 38.0ms | uy |
| 36.0ms | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| 34.0ms | (*.f32 uy #s(literal 2 binary32)) |
| 33.0ms | maxCos |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
| 99.0% | 1 | (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
| 99.0% | 1 | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
| 99.0% | 1 | (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
| 99.0% | 1 | (*.f32 uy #s(literal 2 binary32)) |
| 99.0% | 1 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| 99.0% | 1 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
| 99.0% | 1 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| 99.0% | 1 | ux |
| 99.0% | 1 | uy |
| 99.0% | 1 | maxCos |
Compiled 99 to 79 computations (20.2% saved)
| Inputs |
|---|
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))) |
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(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 #s(literal -1/2 binary32) ux) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos)))))) |
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) |
(*.f32 (cos.f32 (fma.f32 uy (PI.f32) (*.f32 uy (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 #s(literal 2 binary32) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) |
(*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux))))) |
(*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (/.f32 ux (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))))) |
| Outputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux))))) |
11 calls:
| 59.0ms | maxCos |
| 26.0ms | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| 25.0ms | ux |
| 25.0ms | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| 24.0ms | (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
| 98.8% | 1 | (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
| 98.8% | 1 | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
| 98.8% | 1 | (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
| 98.8% | 1 | (*.f32 uy #s(literal 2 binary32)) |
| 98.8% | 1 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| 98.8% | 1 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
| 98.8% | 1 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| 98.8% | 1 | ux |
| 98.8% | 1 | uy |
| 98.8% | 1 | maxCos |
Compiled 99 to 79 computations (20.2% saved)
| Inputs |
|---|
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)))))) |
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#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 #s(literal -1/2 binary32) ux) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos)))))) |
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))) |
(*.f32 (cos.f32 (fma.f32 uy (PI.f32) (*.f32 uy (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 #s(literal 2 binary32) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) |
(*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| Outputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos)))))) |
11 calls:
| 27.0ms | uy |
| 23.0ms | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
| 22.0ms | (*.f32 uy #s(literal 2 binary32)) |
| 22.0ms | ux |
| 22.0ms | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | (*.f32 uy #s(literal 2 binary32)) |
| 97.1% | 1 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| 97.1% | 1 | uy |
| 97.1% | 1 | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
| 97.1% | 1 | (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
| 97.1% | 1 | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
| 97.1% | 1 | (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
| 97.1% | 1 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
| 97.1% | 1 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| 97.1% | 1 | ux |
| 97.1% | 1 | maxCos |
Compiled 99 to 79 computations (20.2% saved)
| Inputs |
|---|
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux) maxCos))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (neg.f32 ux) (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux))))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 ux) (sqrt.f32 ux) (-.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (*.f32 maxCos ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) #s(literal 2 binary32)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 #s(literal -1/2 binary32) ux) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))))))) |
| Outputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux)))) |
11 calls:
| 43.0ms | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
| 43.0ms | maxCos |
| 23.0ms | (*.f32 uy #s(literal 2 binary32)) |
| 22.0ms | uy |
| 22.0ms | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
| 97.1% | 1 | (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
| 97.1% | 1 | (*.f32 uy #s(literal 2 binary32)) |
| 97.1% | 1 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| 97.1% | 1 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| 97.1% | 1 | ux |
| 97.1% | 1 | uy |
| 97.1% | 1 | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
| 97.1% | 1 | (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
| 97.1% | 1 | maxCos |
| 97.1% | 1 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
Compiled 99 to 79 computations (20.2% saved)
| Inputs |
|---|
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux) maxCos))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (neg.f32 ux) (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux))))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 ux) (sqrt.f32 ux) (-.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (*.f32 maxCos ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) #s(literal 2 binary32)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))) |
| Outputs |
|---|
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux)))) |
11 calls:
| 51.0ms | maxCos |
| 26.0ms | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
| 23.0ms | (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
| 23.0ms | ux |
| 19.0ms | (*.f32 uy #s(literal 2 binary32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 1 | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
| 92.7% | 1 | (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
| 96.9% | 2 | (*.f32 uy #s(literal 2 binary32)) |
| 96.9% | 2 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| 96.9% | 2 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
| 92.7% | 1 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| 92.7% | 1 | ux |
| 96.9% | 2 | uy |
| 92.7% | 1 | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
| 92.7% | 1 | (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
| 96.3% | 2 | maxCos |
Compiled 99 to 79 computations (20.2% saved)
| Inputs |
|---|
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux) maxCos))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (neg.f32 ux) (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux))))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 ux) (sqrt.f32 ux) (-.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (*.f32 maxCos ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) #s(literal 2 binary32)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux)))) |
| Outputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux)))) |
7 calls:
| 19.0ms | maxCos |
| 18.0ms | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| 17.0ms | uy |
| 17.0ms | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
| 16.0ms | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 1 | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
| 92.7% | 1 | (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
| 92.7% | 1 | maxCos |
| 92.7% | 1 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
| 92.7% | 1 | (*.f32 uy #s(literal 2 binary32)) |
| 92.7% | 1 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| 92.7% | 1 | uy |
Compiled 38 to 41 computations (-7.9% saved)
| Inputs |
|---|
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux) maxCos))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (neg.f32 ux) (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux))))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 ux) (sqrt.f32 ux) (-.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (*.f32 maxCos ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) #s(literal 2 binary32)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) |
| Outputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
11 calls:
| 51.0ms | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| 48.0ms | maxCos |
| 28.0ms | (*.f32 uy #s(literal 2 binary32)) |
| 17.0ms | (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
| 17.0ms | ux |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.2% | 1 | (*.f32 uy #s(literal 2 binary32)) |
| 74.2% | 1 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| 74.2% | 1 | uy |
| 74.2% | 1 | maxCos |
| 86.3% | 2 | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
| 86.3% | 2 | (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
| 74.2% | 1 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
| 86.7% | 2 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| 86.3% | 2 | ux |
| 86.3% | 2 | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
| 86.3% | 2 | (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
Compiled 99 to 79 computations (20.2% saved)
| Inputs |
|---|
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
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#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos (*.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))))) |
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) |
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 ux) (sqrt.f32 ux) (-.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (*.f32 maxCos ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) #s(literal 2 binary32)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) |
| Outputs |
|---|
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
6 calls:
| 36.0ms | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
| 16.0ms | ux |
| 15.0ms | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
| 13.0ms | (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
| 12.0ms | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.6% | 2 | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
| 78.6% | 2 | (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
| 78.6% | 2 | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
| 78.6% | 2 | (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
| 78.6% | 2 | ux |
| 78.3% | 2 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
Compiled 83 to 53 computations (36.1% saved)
| Inputs |
|---|
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| Outputs |
|---|
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) |
11 calls:
| 35.0ms | (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
| 13.0ms | (*.f32 uy #s(literal 2 binary32)) |
| 11.0ms | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
| 8.0ms | ux |
| 8.0ms | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.5% | 1 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
| 65.5% | 1 | maxCos |
| 65.5% | 1 | (*.f32 uy #s(literal 2 binary32)) |
| 65.5% | 1 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| 65.5% | 1 | uy |
| 65.5% | 1 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| 65.5% | 1 | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
| 65.5% | 1 | (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
| 65.5% | 1 | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
| 65.5% | 1 | (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
| 65.5% | 1 | ux |
Compiled 99 to 79 computations (20.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))) |
| Outputs |
|---|
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))) |
11 calls:
| 1.0ms | maxCos |
| 1.0ms | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| 1.0ms | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| 1.0ms | uy |
| 1.0ms | (*.f32 uy #s(literal 2 binary32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| -0.0% | 1 | maxCos |
| -0.0% | 1 | (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) |
| -0.0% | 1 | (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) |
| -0.0% | 1 | (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) |
| -0.0% | 1 | (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) |
| -0.0% | 1 | (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))) |
| -0.0% | 1 | ux |
| -0.0% | 1 | (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) |
| -0.0% | 1 | (*.f32 uy #s(literal 2 binary32)) |
| -0.0% | 1 | (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) |
| -0.0% | 1 | uy |
Compiled 99 to 79 computations (20.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0001168033923022449 | 0.00011718114546965808 |
Compiled 28 to 20 computations (28.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.02504863403737545 | 0.02550772950053215 |
Compiled 28 to 22 computations (21.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.054026355035603e-5 | 7.163355621742085e-5 |
Compiled 28 to 20 computations (28.6% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 561 |
| 1 | 228 | 554 |
| 2 | 473 | 546 |
| 3 | 1067 | 546 |
| 4 | 2583 | 546 |
| 5 | 6403 | 546 |
| 1× | node limit |
| Inputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux)))) |
(if (<=.f32 uy #s(literal 8040179/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux)))) |
(if (<=.f32 (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #s(literal 427819/16777216 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))) |
(if (<=.f32 ux #s(literal 4879083/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))) |
| Outputs |
|---|
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos)))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux)))) |
(if (<=.f32 uy #s(literal 8040179/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux))))) |
(if (<=.f32 uy #s(literal 8040179/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux))))) |
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux)))) |
(if (<=.f32 (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #s(literal 427819/16777216 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))) |
(if (<=.f32 (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #s(literal 427819/16777216 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))) |
(if (<=.f32 ux #s(literal 4879083/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))) |
(if (<=.f32 ux #s(literal 4879083/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) |
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 454 |
| 0 | 120 | 403 |
| 1 | 429 | 403 |
| 2 | 3029 | 397 |
| 0 | 8393 | 375 |
| 0 | 1541 | 15785 |
| 1 | 5403 | 15382 |
| 0 | 8056 | 14699 |
| 0 | 406 | 2229 |
| 1 | 1417 | 2116 |
| 2 | 6262 | 2098 |
| 0 | 8082 | 1994 |
| 0 | 760 | 4434 |
| 1 | 2601 | 4202 |
| 0 | 8686 | 4018 |
| 0 | 16 | 75 |
| 0 | 27 | 54 |
| 1 | 115 | 54 |
| 2 | 987 | 54 |
| 0 | 8653 | 50 |
| 0 | 888 | 5340 |
| 1 | 3152 | 5241 |
| 0 | 8079 | 4995 |
| 0 | 63 | 393 |
| 0 | 110 | 279 |
| 1 | 459 | 275 |
| 2 | 3637 | 272 |
| 0 | 8180 | 268 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 638 to 120 computations (81.2% saved)
(abs uy)
Compiled 1 572 to 416 computations (73.5% saved)
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