
Time bar (total: 13.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 12.3% | 87.7% | 0% | 0% | 0% | 0 |
| 0% | 0% | 12.3% | 87.7% | 0% | 0% | 0% | 1 |
| 50% | 6.2% | 6.2% | 87.7% | 0% | 0% | 0% | 2 |
| 50% | 6.2% | 6.2% | 87.7% | 0% | 0% | 0% | 3 |
| 75% | 9.2% | 3.1% | 87.7% | 0% | 0% | 0% | 4 |
| 75% | 9.2% | 3.1% | 87.7% | 0% | 0% | 0% | 5 |
| 87.5% | 10.8% | 1.5% | 87.7% | 0% | 0% | 0% | 6 |
| 87.5% | 10.8% | 1.5% | 87.7% | 0% | 0% | 0% | 7 |
| 93.8% | 11.5% | 0.8% | 87.7% | 0% | 0% | 0% | 8 |
| 93.8% | 11.5% | 0.8% | 87.7% | 0% | 0% | 0% | 9 |
| 96.9% | 11.9% | 0.4% | 87.7% | 0% | 0% | 0% | 10 |
| 96.9% | 11.9% | 0.4% | 87.7% | 0% | 0% | 0% | 11 |
| 98.4% | 12.1% | 0.2% | 87.7% | 0% | 0% | 0% | 12 |
Compiled 41 to 29 computations (29.3% saved)
| 1.8s | 8 256× | 0 | valid |
| 11.0ms | 77× | 0 | invalid |
ival-div: 249.0ms (17.2% of total)ival-mult: 241.0ms (16.7% of total)const: 185.0ms (12.8% of total)ival-sub: 181.0ms (12.5% of total)ival-add: 140.0ms (9.7% of total)ival-sqrt: 115.0ms (7.9% of total)ival-exp: 99.0ms (6.8% of total)ival-pi: 86.0ms (5.9% of total)ival-<: 80.0ms (5.5% of total)ival-neg: 33.0ms (2.3% of total)ival-and: 21.0ms (1.5% of total)exact: 14.0ms (1% of total)ival-assert: 3.0ms (0.2% of total)| 2× | egg-herbie |
| 1 608× | accelerator-lowering-fma.f32 |
| 1 608× | accelerator-lowering-fma.f64 |
| 1 468× | div-sub |
| 1 040× | *-lowering-*.f32 |
| 1 040× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 152 |
| 1 | 140 | 140 |
| 2 | 404 | 133 |
| 3 | 1334 | 132 |
| 4 | 3715 | 132 |
| 5 | 5337 | 132 |
| 6 | 7076 | 132 |
| 7 | 7836 | 132 |
| 0 | 18 | 25 |
| 1 | 44 | 23 |
| 2 | 106 | 22 |
| 3 | 226 | 22 |
| 4 | 349 | 22 |
| 5 | 727 | 22 |
| 6 | 1873 | 22 |
| 7 | 2807 | 22 |
| 8 | 3448 | 22 |
| 9 | 4078 | 22 |
| 10 | 4244 | 22 |
| 11 | 4279 | 22 |
| 12 | 4312 | 22 |
| 13 | 4446 | 22 |
| 14 | 5067 | 22 |
| 15 | 5075 | 22 |
| 16 | 5079 | 22 |
| 17 | 5079 | 22 |
| 0 | 5079 | 21 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
| Outputs |
|---|
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
| Inputs |
|---|
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 (neg cosTheta)) (neg cosTheta))) (neg cosTheta))) (exp (* (neg (neg cosTheta)) (neg cosTheta)))))) |
(/ 1 (+ (+ 1 (neg c)) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(neg (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 (neg cosTheta)) (neg cosTheta))) (neg cosTheta))) (exp (* (neg (neg cosTheta)) (neg cosTheta))))))) |
(neg (/ 1 (+ (+ 1 (neg c)) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))))) |
(/ 1 (+ (+ 1 cosTheta) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 c) c)) c)) (exp (* (neg c) c))))) |
| Outputs |
|---|
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(/ 1 (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (pow (exp cosTheta) cosTheta) (* (sqrt (PI)) cosTheta))))) |
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 (neg cosTheta)) (neg cosTheta))) (neg cosTheta))) (exp (* (neg (neg cosTheta)) (neg cosTheta)))))) |
(/ 1 (- (+ 1 c) (/ (sqrt (+ 1 (+ cosTheta cosTheta))) (* (pow (exp cosTheta) cosTheta) (* (sqrt (PI)) cosTheta))))) |
(/ 1 (+ (+ 1 (neg c)) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(/ 1 (+ (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (pow (exp cosTheta) cosTheta) (* (sqrt (PI)) cosTheta))) (- 1 c))) |
(neg (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 (neg cosTheta)) (neg cosTheta))) (neg cosTheta))) (exp (* (neg (neg cosTheta)) (neg cosTheta))))))) |
(/ 1 (+ (- -1 c) (/ (sqrt (+ 1 (+ cosTheta cosTheta))) (* (pow (exp cosTheta) cosTheta) (* (sqrt (PI)) cosTheta))))) |
(neg (/ 1 (+ (+ 1 (neg c)) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))))) |
(/ 1 (- (+ c -1) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (pow (exp cosTheta) cosTheta) (* (sqrt (PI)) cosTheta))))) |
(/ 1 (+ (+ 1 cosTheta) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 c) c)) c)) (exp (* (neg c) c))))) |
(/ 1 (+ (+ 1 cosTheta) (/ (sqrt (+ 1 (* c -2))) (* (pow (exp c) c) (* c (sqrt (PI))))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) |
| 0 | 0 | - | 0 | - | (sqrt.f32 (PI.f32)) |
| 0 | 0 | - | 0 | - | (PI.f32) |
| 0 | 0 | - | 0 | - | (*.f32 (neg.f32 cosTheta) cosTheta) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| 0 | 0 | - | 0 | - | (+.f32 #s(literal 1 binary32) c) |
| 0 | 0 | - | 0 | - | cosTheta |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
| 0 | 0 | - | 0 | - | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) cosTheta) |
| 0 | 0 | - | 0 | - | (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) |
| 0 | 0 | - | 0 | - | (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
| 0 | 0 | - | 0 | - | (neg.f32 cosTheta) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f32 | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) | n*o | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 67.0ms | 512× | 0 | valid |
Compiled 310 to 76 computations (75.5% saved)
ival-div: 10.0ms (20.4% of total)ival-sqrt: 9.0ms (18.3% of total)ival-add: 8.0ms (16.3% of total)ival-mult: 8.0ms (16.3% of total)ival-exp: 4.0ms (8.1% of total)ival-sub: 4.0ms (8.1% of total)ival-pi: 2.0ms (4.1% of total)ival-neg: 2.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.7% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
Compiled 27 to 18 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| ✓ | cost-diff | 64 | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| ✓ | cost-diff | 352 | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) |
| 1 608× | accelerator-lowering-fma.f32 |
| 1 608× | accelerator-lowering-fma.f64 |
| 1 040× | *-lowering-*.f32 |
| 1 040× | *-lowering-*.f64 |
| 978× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 126 |
| 1 | 44 | 118 |
| 2 | 106 | 115 |
| 3 | 226 | 115 |
| 4 | 349 | 115 |
| 5 | 727 | 115 |
| 6 | 1873 | 115 |
| 7 | 2807 | 115 |
| 8 | 3448 | 115 |
| 9 | 4078 | 115 |
| 10 | 4244 | 115 |
| 11 | 4279 | 115 |
| 12 | 4312 | 115 |
| 13 | 4446 | 115 |
| 14 | 5067 | 115 |
| 15 | 5075 | 115 |
| 16 | 5079 | 115 |
| 17 | 5079 | 115 |
| 0 | 5079 | 108 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
1 |
(+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) |
(+ 1 c) |
c |
(* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) |
(* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) |
(/ 1 (sqrt (PI))) |
(sqrt (PI)) |
(PI) |
(/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) |
(sqrt (- (- 1 cosTheta) cosTheta)) |
(- (- 1 cosTheta) cosTheta) |
(- 1 cosTheta) |
cosTheta |
(exp (* (neg cosTheta) cosTheta)) |
(* (neg cosTheta) cosTheta) |
(neg cosTheta) |
| Outputs |
|---|
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) |
1 |
#s(literal 1 binary32) |
(+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) |
(fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) |
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) |
(* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) |
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/ 1 (sqrt (PI))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) |
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) |
(sqrt (- (- 1 cosTheta) cosTheta)) |
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) |
(- (- 1 cosTheta) cosTheta) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
(- 1 cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(exp (* (neg cosTheta) cosTheta)) |
(exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) |
(* (neg cosTheta) cosTheta) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
(neg cosTheta) |
(neg.f32 cosTheta) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
| ✓ | accuracy | 98.9% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| ✓ | accuracy | 97.7% | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) |
| ✓ | accuracy | 96.9% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
| 31.0ms | 256× | 0 | valid |
Compiled 128 to 20 computations (84.4% saved)
ival-div: 5.0ms (23.2% of total)ival-mult: 4.0ms (18.6% of total)ival-add: 3.0ms (13.9% of total)ival-sqrt: 3.0ms (13.9% of total)ival-exp: 2.0ms (9.3% of total)ival-sub: 2.0ms (9.3% of total)ival-pi: 1.0ms (4.6% of total)ival-neg: 1.0ms (4.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))> |
#<alt (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))> |
#<alt (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))))> |
#<alt (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))> |
#<alt (/ 1 (sqrt (PI)))> |
#<alt (- (- 1 cosTheta) cosTheta)> |
| Outputs |
|---|
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)> |
#<alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))> |
#<alt (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3))))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))))))> |
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta)> |
#<alt (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))> |
#<alt (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))> |
#<alt (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))> |
#<alt (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))> |
#<alt (+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))> |
#<alt (+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))> |
#<alt (/ 1 c)> |
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c)> |
#<alt (/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c)> |
#<alt (/ 1 c)> |
#<alt (* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))> |
#<alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))))> |
#<alt (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))> |
#<alt (- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))))> |
#<alt (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))> |
#<alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))> |
#<alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))> |
#<alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))> |
#<alt c> |
#<alt (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt c> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))> |
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)> |
#<alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))> |
#<alt (+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))> |
#<alt (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))> |
#<alt (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))> |
#<alt (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))> |
#<alt (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))))> |
#<alt (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))> |
#<alt (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))))> |
#<alt 1> |
#<alt (+ 1 (* -2 cosTheta))> |
#<alt (+ 1 (* -2 cosTheta))> |
#<alt (+ 1 (* -2 cosTheta))> |
#<alt (* -2 cosTheta)> |
#<alt (* cosTheta (- (/ 1 cosTheta) 2))> |
#<alt (* cosTheta (- (/ 1 cosTheta) 2))> |
#<alt (* cosTheta (- (/ 1 cosTheta) 2))> |
#<alt (* -2 cosTheta)> |
#<alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta))))> |
#<alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta))))> |
#<alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta))))> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | cosTheta | @ | -inf | (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
| 4.0ms | cosTheta | @ | inf | (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
| 2.0ms | cosTheta | @ | inf | (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) |
| 2.0ms | cosTheta | @ | -inf | (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) |
| 1.0ms | cosTheta | @ | -inf | (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) |
| 1× | batch-egg-rewrite |
| 4 132× | accelerator-lowering-fma.f32 |
| 4 132× | accelerator-lowering-fma.f64 |
| 3 752× | *-lowering-*.f32 |
| 3 752× | *-lowering-*.f64 |
| 3 536× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 89 |
| 1 | 126 | 80 |
| 2 | 1045 | 73 |
| 0 | 8542 | 73 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) |
(* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) |
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) |
(/ 1 (sqrt (PI))) |
(- (- 1 cosTheta) cosTheta) |
| Outputs |
|---|
(neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (neg.f32 cosTheta))) |
(pow.f32 (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #s(literal -1 binary32)) |
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 (PI.f32)) (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (neg.f32 cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 cosTheta) (neg.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) |
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) |
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (neg.f32 cosTheta) (neg.f32 (sqrt.f32 (PI.f32))))) |
(/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) |
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) (neg.f32 cosTheta))) |
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (neg.f32 (*.f32 (neg.f32 cosTheta) (neg.f32 (sqrt.f32 (PI.f32)))))) |
(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) |
(/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (neg.f32 cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) |
(/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (neg.f32 cosTheta)) (neg.f32 (sqrt.f32 (PI.f32)))) |
(/.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (neg.f32 cosTheta)) |
(*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) |
(*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)) |
(*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) (neg.f32 (sqrt.f32 (PI.f32)))))) |
(*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) |
(*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32))) |
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(/.f32 (fma.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (neg.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)))) |
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) cosTheta (*.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (*.f32 cosTheta (neg.f32 cosTheta)))) (*.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) cosTheta)) |
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (*.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (neg.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)))) |
(/.f32 (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)))) |
(/.f32 (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) cosTheta) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (fma.f32 cosTheta cosTheta cosTheta)) |
(/.f32 (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (neg.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32))) (*.f32 cosTheta (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 cosTheta (neg.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32))))) |
(/.f32 (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (*.f32 cosTheta (+.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)))) |
(/.f32 (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 cosTheta (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 (neg.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)))) |
(/.f32 (fma.f32 (neg.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) cosTheta) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (+.f32 #s(literal 1 binary32) cosTheta))) |
(/.f32 (fma.f32 (neg.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (neg.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32))) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (neg.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32))))) |
(/.f32 (fma.f32 (neg.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)))) |
(/.f32 (fma.f32 (neg.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (neg.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(literal 1 binary32)) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) (*.f32 cosTheta cosTheta)))) (neg.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (neg.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))))))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 cosTheta cosTheta)) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 cosTheta cosTheta)))) |
(/.f32 (fma.f32 cosTheta (*.f32 cosTheta (neg.f32 cosTheta)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (fma.f32 cosTheta cosTheta (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))))) |
(/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (pow.f32 (*.f32 cosTheta (neg.f32 cosTheta)) #s(literal 3 binary32))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 (*.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (neg.f32 cosTheta)))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (fma.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))))) |
(/.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (-.f32 (neg.f32 cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) |
(/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (*.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (*.f32 cosTheta (neg.f32 cosTheta)))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (neg.f32 cosTheta)))) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (*.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) #s(literal 1 binary32))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) |
(*.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1 binary32)) |
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 4 binary32) (*.f32 cosTheta cosTheta) (+.f32 cosTheta cosTheta))))) |
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) |
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 (*.f32 cosTheta cosTheta) (neg.f32 (*.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))))))) |
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (neg.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) |
(*.f32 (neg.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal -1 binary32)) |
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) (*.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) |
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 cosTheta cosTheta)) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 cosTheta cosTheta)))) |
| 1× | egg-herbie |
| 9 656× | accelerator-lowering-fma.f32 |
| 9 656× | accelerator-lowering-fma.f64 |
| 5 090× | *-lowering-*.f32 |
| 5 090× | *-lowering-*.f64 |
| 4 540× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 410 | 3676 |
| 1 | 1246 | 3572 |
| 2 | 4762 | 3476 |
| 0 | 8360 | 3311 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3))))))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/ 1 c) |
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))))) |
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) |
(- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))))))) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))) |
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))) |
1 |
(+ 1 (* -2 cosTheta)) |
(+ 1 (* -2 cosTheta)) |
(+ 1 (* -2 cosTheta)) |
(* -2 cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* -2 cosTheta) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
| Outputs |
|---|
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 cosTheta (*.f32 cosTheta #s(literal -1/2 binary32))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta) |
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 cosTheta (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1/2 binary32)))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -2 binary32))) #s(literal -1/8 binary32))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(fma.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -2 binary32))) #s(literal -1/8 binary32)))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) #s(literal 1/8 binary32))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3))))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) #s(literal -1/16 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) #s(literal 1/8 binary32)))))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta) |
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) (*.f32 cosTheta cosTheta))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(fma.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (sqrt.f32 #s(literal -2 binary32)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (fma.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (sqrt.f32 #s(literal -2 binary32))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32)) (fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (fma.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (sqrt.f32 #s(literal -2 binary32)))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(neg.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (sqrt.f32 #s(literal 2 binary32)))) (neg.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) (neg.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (sqrt.f32 #s(literal 2 binary32)))) (-.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) #s(literal 1/8 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) #s(literal -1/16 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32))) (/.f32 c (pow.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(fma.f32 c (+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 c (pow.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(fma.f32 c (fma.f32 c (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 c (pow.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) #s(literal 4 binary32)))) (/.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)))) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) c)) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/.f32 (fma.f32 (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) c) (+.f32 (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) c) #s(literal -1 binary32)) #s(literal 1 binary32)) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/.f32 (fma.f32 (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) c) (+.f32 (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) c) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) c) #s(literal 3 binary32)))) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))) c) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(/.f32 (fma.f32 (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) c) (+.f32 (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) c) #s(literal -1 binary32)) #s(literal 1 binary32)) c) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) c) #s(literal -1 binary32))) c) (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32))) c)) (neg.f32 c)) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
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(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
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(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
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(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) |
(fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) c)) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) c)) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) c)) |
c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(fma.f32 c (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(fma.f32 c (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(fma.f32 c (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) c)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) c)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) c)) (neg.f32 c)) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) c) cosTheta)) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
(/.f32 (+.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (+.f32 #s(literal 1 binary32) c)) |
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (*.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32)) c))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (*.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32)) c)))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))) |
(+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32)) (fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (fma.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (sqrt.f32 #s(literal -2 binary32)))))) (+.f32 #s(literal 1 binary32) c)) |
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) c)) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (sqrt.f32 #s(literal 2 binary32))) #s(literal -1/2 binary32)) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) c))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
(+.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) c)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (sqrt.f32 #s(literal 2 binary32))) #s(literal -1/2 binary32)) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))) c)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) #s(literal 1/8 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) #s(literal -1/16 binary32)))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 cosTheta)) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
(+ 1 (* -2 cosTheta)) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
(+ 1 (* -2 cosTheta)) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
(* -2 cosTheta) |
(*.f32 cosTheta #s(literal -2 binary32)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
(* -2 cosTheta) |
(*.f32 cosTheta #s(literal -2 binary32)) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
Compiled 23 196 to 2 836 computations (87.8% saved)
31 alts after pruning (31 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 526 | 31 | 557 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 527 | 31 | 558 |
| Status | Accuracy | Program |
|---|---|---|
| 97.3% | (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) | |
| 57.7% | (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) cosTheta)) (fma.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (neg.f32 (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (*.f32 cosTheta (neg.f32 cosTheta)))))))) | |
| 97.8% | (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) c))) | |
| 97.8% | (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32))) | |
| ▶ | 60.4% | (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
| ▶ | 98.1% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
| 98.0% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (+.f32 c #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta))) (*.f32 (+.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (+.f32 c #s(literal -1 binary32)) (*.f32 cosTheta (fma.f32 c c #s(literal -1 binary32)))) (*.f32 cosTheta (+.f32 c #s(literal -1 binary32))))) | |
| 94.8% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) | |
| ▶ | 96.0% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) c) cosTheta)) cosTheta)) |
| 96.7% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)) | |
| 91.5% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) | |
| 36.2% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (*.f32 cosTheta (neg.f32 cosTheta)))) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)))) (fma.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta))) (exp.f32 (*.f32 (*.f32 cosTheta (neg.f32 cosTheta)) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))))))) | |
| 97.7% | (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) c) #s(literal 1 binary32))) | |
| 97.8% | (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32)) c)) | |
| 96.6% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) (*.f32 cosTheta cosTheta))) cosTheta))) | |
| 96.0% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) | |
| ▶ | 98.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) (sqrt.f32 (PI.f32))))) |
| 98.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (PI.f32))) (/.f32 cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))) | |
| 94.8% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))) | |
| 91.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta))))) | |
| 97.7% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 60.4% | (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) c)) (neg.f32 c))) | |
| ▶ | 5.2% | (/.f32 #s(literal 1 binary32) c) |
| 36.2% | (-.f32 (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (*.f32 cosTheta (neg.f32 cosTheta)))))) (fma.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta))) (exp.f32 (*.f32 (*.f32 cosTheta (neg.f32 cosTheta)) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))))) (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (fma.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta))) (exp.f32 (*.f32 (*.f32 cosTheta (neg.f32 cosTheta)) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))) | |
| 57.7% | (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (neg.f32 (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (*.f32 cosTheta (neg.f32 cosTheta)))))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) cosTheta))) | |
| 95.3% | (*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32)))) | |
| 96.2% | (*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32)))) | |
| 91.9% | (*.f32 cosTheta (sqrt.f32 (PI.f32))) | |
| 90.6% | (exp.f32 (*.f32 (log1p.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) c)) #s(literal -1 binary32))) |
Compiled 2 136 to 1 038 computations (51.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))) |
| ✓ | cost-diff | 0 | (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) |
| ✓ | cost-diff | 352 | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
| ✓ | cost-diff | 0 | (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) |
| ✓ | cost-diff | 0 | (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
| ✓ | cost-diff | 256 | (fma.f32 c (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
| ✓ | cost-diff | 0 | (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) c) cosTheta)) cosTheta) |
| ✓ | cost-diff | 352 | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) c) cosTheta)) cosTheta)) |
| ✓ | cost-diff | 576 | (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) c) cosTheta)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) c) |
| ✓ | cost-diff | 0 | (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) (sqrt.f32 (PI.f32)))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) (sqrt.f32 (PI.f32))))) |
| ✓ | cost-diff | 64 | (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) |
| ✓ | cost-diff | 192 | (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) (sqrt.f32 (PI.f32))) |
| 10 534× | accelerator-lowering-fma.f32 |
| 10 534× | accelerator-lowering-fma.f64 |
| 3 518× | *-lowering-*.f32 |
| 3 518× | *-lowering-*.f64 |
| 1 944× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 576 |
| 1 | 144 | 576 |
| 2 | 350 | 567 |
| 3 | 1014 | 548 |
| 4 | 2817 | 548 |
| 5 | 5804 | 548 |
| 0 | 8231 | 494 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (+ 1 c) (/ (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) cosTheta) (sqrt (PI))))) |
1 |
(+ (+ 1 c) (/ (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) cosTheta) (sqrt (PI)))) |
(+ 1 c) |
c |
(/ (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) cosTheta) (sqrt (PI))) |
(/ (* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) cosTheta) |
(* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) |
(sqrt (- (- 1 cosTheta) cosTheta)) |
(- (- 1 cosTheta) cosTheta) |
(- 1 cosTheta) |
cosTheta |
(exp (* cosTheta (neg cosTheta))) |
(* cosTheta (neg cosTheta)) |
(neg cosTheta) |
(sqrt (PI)) |
(PI) |
(/ 1 c) |
1 |
c |
(/ 1 (/ (+ (sqrt (/ 1 (PI))) (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c)) cosTheta)) cosTheta)) |
1 |
(/ (+ (sqrt (/ 1 (PI))) (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c)) cosTheta)) cosTheta) |
(+ (sqrt (/ 1 (PI))) (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c)) cosTheta)) |
(sqrt (/ 1 (PI))) |
(/ 1 (PI)) |
(PI) |
(+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c)) cosTheta) |
cosTheta |
(+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c) |
(+ (* -3/2 cosTheta) -1) |
-3/2 |
-1 |
c |
(/ 1 (+ (* c (+ (* (exp (* cosTheta (neg cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)) 1)) |
1 |
(+ (* c (+ (* (exp (* cosTheta (neg cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)) 1) |
c |
(+ (* (exp (* cosTheta (neg cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1) |
(exp (* cosTheta (neg cosTheta))) |
(* cosTheta (neg cosTheta)) |
cosTheta |
(neg cosTheta) |
(/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c)) |
(sqrt (/ (+ (* cosTheta -2) 1) (PI))) |
(/ (+ (* cosTheta -2) 1) (PI)) |
(+ (* cosTheta -2) 1) |
-2 |
(PI) |
(* cosTheta c) |
(/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta)))))) (* (+ (* c (+ c -1)) 1) cosTheta))) |
1 |
(/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta)))))) (* (+ (* c (+ c -1)) 1) cosTheta)) |
(+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta)))))) |
(+ (* c (* c c)) 1) |
c |
(* c c) |
cosTheta |
(* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta))))) |
(+ (* c (+ c -1)) 1) |
(+ c -1) |
-1 |
(* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta)))) |
(sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) |
(/ (- (- 1 cosTheta) cosTheta) (PI)) |
(- (- 1 cosTheta) cosTheta) |
(- 1 cosTheta) |
(PI) |
(exp (* cosTheta (neg cosTheta))) |
(* cosTheta (neg cosTheta)) |
(neg cosTheta) |
(* (+ (* c (+ c -1)) 1) cosTheta) |
| Outputs |
|---|
(/ 1 (+ (+ 1 c) (/ (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) cosTheta) (sqrt (PI))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))) |
1 |
#s(literal 1 binary32) |
(+ (+ 1 c) (/ (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) cosTheta) (sqrt (PI)))) |
(fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c)) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(/ (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) cosTheta) (sqrt (PI))) |
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta))))) |
(/ (* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) cosTheta) |
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) |
(*.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) |
(sqrt (- (- 1 cosTheta) cosTheta)) |
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) |
(- (- 1 cosTheta) cosTheta) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
(- 1 cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(exp (* cosTheta (neg cosTheta))) |
(exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) |
(* cosTheta (neg cosTheta)) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
(neg cosTheta) |
(neg.f32 cosTheta) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
1 |
#s(literal 1 binary32) |
c |
(/ 1 (/ (+ (sqrt (/ 1 (PI))) (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c)) cosTheta)) cosTheta)) |
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c cosTheta cosTheta))) |
1 |
#s(literal 1 binary32) |
(/ (+ (sqrt (/ 1 (PI))) (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c)) cosTheta)) cosTheta) |
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c cosTheta cosTheta)) cosTheta) |
(+ (sqrt (/ 1 (PI))) (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c)) cosTheta)) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c cosTheta cosTheta)) |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(/ 1 (PI)) |
(/.f32 #s(literal 1 binary32) (PI.f32)) |
(PI) |
(PI.f32) |
(+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c)) cosTheta) |
(fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) cosTheta) |
cosTheta |
(+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) |
(+ (* -3/2 cosTheta) -1) |
(fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) |
-3/2 |
#s(literal -3/2 binary32) |
-1 |
#s(literal -1 binary32) |
c |
(/ 1 (+ (* c (+ (* (exp (* cosTheta (neg cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)) 1)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
1 |
#s(literal 1 binary32) |
(+ (* c (+ (* (exp (* cosTheta (neg cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)) 1) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) |
c |
(+ (* (exp (* cosTheta (neg cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1) |
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 c cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))) |
(exp (* cosTheta (neg cosTheta))) |
(exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) |
(* cosTheta (neg cosTheta)) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
cosTheta |
(neg cosTheta) |
(neg.f32 cosTheta) |
(/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c)) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 c cosTheta)) |
(sqrt (/ (+ (* cosTheta -2) 1) (PI))) |
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) |
(/ (+ (* cosTheta -2) 1) (PI)) |
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) |
(+ (* cosTheta -2) 1) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
-2 |
#s(literal -2 binary32) |
(PI) |
(PI.f32) |
(* cosTheta c) |
(*.f32 c cosTheta) |
(/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta)))))) (* (+ (* c (+ c -1)) 1) cosTheta))) |
(/.f32 (fma.f32 c (fma.f32 c cosTheta (neg.f32 cosTheta)) cosTheta) (fma.f32 c (*.f32 c (*.f32 c cosTheta)) (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (-.f32 (fma.f32 c c #s(literal 1 binary32)) c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta))) |
1 |
#s(literal 1 binary32) |
(/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta)))))) (* (+ (* c (+ c -1)) 1) cosTheta)) |
(/.f32 (fma.f32 c (*.f32 c (*.f32 c cosTheta)) (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (-.f32 (fma.f32 c c #s(literal 1 binary32)) c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta)) (fma.f32 c (fma.f32 c cosTheta (neg.f32 cosTheta)) cosTheta)) |
(+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta)))))) |
(fma.f32 c (*.f32 c (*.f32 c cosTheta)) (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (-.f32 (fma.f32 c c #s(literal 1 binary32)) c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta)) |
(+ (* c (* c c)) 1) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
c |
(* c c) |
(*.f32 c c) |
cosTheta |
(* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta))))) |
(*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (-.f32 (fma.f32 c c #s(literal 1 binary32)) c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) |
(+ (* c (+ c -1)) 1) |
(-.f32 (fma.f32 c c #s(literal 1 binary32)) c) |
(+ c -1) |
(+.f32 c #s(literal -1 binary32)) |
-1 |
#s(literal -1 binary32) |
(* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta)))) |
(*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) |
(sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) |
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) |
(/ (- (- 1 cosTheta) cosTheta) (PI)) |
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) |
(- (- 1 cosTheta) cosTheta) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
(- 1 cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
(PI) |
(PI.f32) |
(exp (* cosTheta (neg cosTheta))) |
(exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) |
(* cosTheta (neg cosTheta)) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
(neg cosTheta) |
(neg.f32 cosTheta) |
(* (+ (* c (+ c -1)) 1) cosTheta) |
(fma.f32 c (fma.f32 c cosTheta (neg.f32 cosTheta)) cosTheta) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) |
| ✓ | accuracy | 98.9% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
| ✓ | accuracy | 98.3% | (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) |
| ✓ | accuracy | 97.6% | (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) |
| ✓ | accuracy | 99.0% | (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) |
| ✓ | accuracy | 98.9% | (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
| ✓ | accuracy | 97.6% | (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) |
| ✓ | accuracy | 61.0% | (fma.f32 c (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
| ✓ | accuracy | 98.9% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) c) cosTheta)) cosTheta)) |
| ✓ | accuracy | 98.3% | (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) c) cosTheta)) cosTheta) |
| ✓ | accuracy | 98.1% | (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) c) cosTheta) |
| ✓ | accuracy | 96.9% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
| ✓ | accuracy | 100.0% | (/.f32 #s(literal 1 binary32) c) |
| ✓ | accuracy | 99.8% | (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) |
| ✓ | accuracy | 99.7% | (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
| ✓ | accuracy | 98.9% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) (sqrt.f32 (PI.f32))))) |
| ✓ | accuracy | 98.5% | (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) (sqrt.f32 (PI.f32))) |
| 94.0ms | 256× | 0 | valid |
Compiled 544 to 60 computations (89% saved)
ival-mult: 22.0ms (30.6% of total)ival-div: 19.0ms (26.4% of total)ival-add: 14.0ms (19.4% of total)ival-sqrt: 10.0ms (13.9% of total)ival-exp: 2.0ms (2.8% of total)ival-sub: 2.0ms (2.8% of total)ival-pi: 1.0ms (1.4% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) cosTheta) (sqrt (PI)))> |
#<alt (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) cosTheta)> |
#<alt (/ 1 (+ (+ 1 c) (/ (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) cosTheta) (sqrt (PI)))))> |
#<alt (+ (+ 1 c) (/ (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) cosTheta) (sqrt (PI))))> |
#<alt (/ 1 c)> |
#<alt (+ (sqrt (/ 1 (PI))) (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c)) cosTheta))> |
#<alt (/ 1 (/ (+ (sqrt (/ 1 (PI))) (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c)) cosTheta)) cosTheta))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c)) cosTheta)) cosTheta)> |
#<alt (sqrt (/ 1 (PI)))> |
#<alt (+ (* c (+ (* (exp (* cosTheta (neg cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)) 1)> |
#<alt (/ 1 (+ (* c (+ (* (exp (* cosTheta (neg cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)) 1))> |
#<alt (+ (* (exp (* cosTheta (neg cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)> |
#<alt (exp (* cosTheta (neg cosTheta)))> |
#<alt (/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta)))))) (* (+ (* c (+ c -1)) 1) cosTheta)))> |
#<alt (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta)))))) (* (+ (* c (+ c -1)) 1) cosTheta))> |
#<alt (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta))))))> |
#<alt (+ (* c (* c c)) 1)> |
#<alt (- (- 1 cosTheta) cosTheta)> |
#<alt (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c)) cosTheta)> |
#<alt (sqrt (/ (+ (* cosTheta -2) 1) (PI)))> |
#<alt (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))> |
#<alt (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))> |
#<alt (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta)))))> |
| Outputs |
|---|
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta)> |
#<alt (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))> |
#<alt (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))> |
#<alt (/ 1 cosTheta)> |
#<alt (/ (+ 1 (* -1 cosTheta)) cosTheta)> |
#<alt (/ (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) cosTheta)> |
#<alt (/ (+ 1 (* cosTheta (- (* cosTheta (- (* 1/2 cosTheta) 3/2)) 1))) cosTheta)> |
#<alt (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))> |
#<alt (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))> |
#<alt (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))> |
#<alt (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))> |
#<alt (+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))> |
#<alt (+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))> |
#<alt (/ 1 c)> |
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c)> |
#<alt (/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c)> |
#<alt (/ 1 c)> |
#<alt (* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))> |
#<alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))))> |
#<alt (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))> |
#<alt (- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))))> |
#<alt (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))> |
#<alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))> |
#<alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))> |
#<alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))> |
#<alt c> |
#<alt (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt c> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))> |
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)> |
#<alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))> |
#<alt (+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))> |
#<alt (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))> |
#<alt (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))> |
#<alt (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))> |
#<alt (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))))> |
#<alt (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))> |
#<alt (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))))> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (sqrt (/ 1 (PI)))> |
#<alt (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))> |
#<alt (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))))> |
#<alt (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))))> |
#<alt (* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI)))))> |
#<alt (* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta)))))> |
#<alt (* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta))))))> |
#<alt (* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta))))))> |
#<alt (* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI)))))> |
#<alt (* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) cosTheta))))> |
#<alt (* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (* -1 (+ c (* -1 (sqrt (/ 1 (PI))))))) 1) cosTheta))))> |
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#<alt 1> |
#<alt (+ 1 (pow c 3))> |
#<alt (+ 1 (pow c 3))> |
#<alt (+ 1 (pow c 3))> |
#<alt (pow c 3)> |
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#<alt (pow c 3)> |
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#<alt (* (pow c 3) (+ 1 (/ 1 (pow c 3))))> |
#<alt (* (pow c 3) (+ 1 (/ 1 (pow c 3))))> |
#<alt 1> |
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#<alt (+ 1 (* -2 cosTheta))> |
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#<alt (* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))))> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | cosTheta | @ | -inf | (+ (* (exp (* cosTheta (neg cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1) |
| 37.0ms | cosTheta | @ | 0 | (+ (sqrt (/ 1 (PI))) (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c)) cosTheta)) |
| 30.0ms | c | @ | inf | (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta)))))) |
| 8.0ms | cosTheta | @ | 0 | (/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta)))))) (* (+ (* c (+ c -1)) 1) cosTheta))) |
| 6.0ms | cosTheta | @ | -inf | (/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta)))))) (* (+ (* c (+ c -1)) 1) cosTheta))) |
| 1× | batch-egg-rewrite |
| 4 046× | *-lowering-*.f32 |
| 4 046× | *-lowering-*.f64 |
| 3 360× | accelerator-lowering-fma.f32 |
| 3 360× | accelerator-lowering-fma.f64 |
| 3 134× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 414 |
| 1 | 401 | 395 |
| 2 | 3856 | 395 |
| 0 | 8228 | 363 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) cosTheta) (sqrt (PI))) |
(/ (* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) cosTheta) |
(/ 1 (+ (+ 1 c) (/ (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) cosTheta) (sqrt (PI))))) |
(+ (+ 1 c) (/ (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta (neg cosTheta)))) cosTheta) (sqrt (PI)))) |
(/ 1 c) |
(+ (sqrt (/ 1 (PI))) (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c)) cosTheta)) |
(/ 1 (/ (+ (sqrt (/ 1 (PI))) (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c)) cosTheta)) cosTheta)) |
(/ (+ (sqrt (/ 1 (PI))) (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c)) cosTheta)) cosTheta) |
(sqrt (/ 1 (PI))) |
(+ (* c (+ (* (exp (* cosTheta (neg cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)) 1) |
(/ 1 (+ (* c (+ (* (exp (* cosTheta (neg cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)) 1)) |
(+ (* (exp (* cosTheta (neg cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1) |
(exp (* cosTheta (neg cosTheta))) |
(/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta)))))) (* (+ (* c (+ c -1)) 1) cosTheta))) |
(/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta)))))) (* (+ (* c (+ c -1)) 1) cosTheta)) |
(+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta)))))) |
(+ (* c (* c c)) 1) |
(- (- 1 cosTheta) cosTheta) |
(+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) c)) cosTheta) |
(sqrt (/ (+ (* cosTheta -2) 1) (PI))) |
(/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c)) |
(sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) |
(* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (* cosTheta (neg cosTheta))))) |
| Outputs |
|---|
(neg.f32 (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) (neg.f32 (sqrt.f32 (PI.f32))))) |
(neg.f32 (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32)))) |
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (PI.f32)) (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))))) #s(literal -1 binary32))) |
(pow.f32 (*.f32 (sqrt.f32 (PI.f32)) (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) (sqrt.f32 (PI.f32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))) |
(/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) (sqrt.f32 (PI.f32))) |
(/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (sqrt.f32 (PI.f32)) (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))))) |
(/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) cosTheta) |
(/.f32 (neg.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) (neg.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))))) |
(/.f32 (neg.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) (neg.f32 cosTheta))) |
(/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (neg.f32 cosTheta)) (neg.f32 (sqrt.f32 (PI.f32)))) |
(/.f32 (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(/.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) #s(literal 1 binary32)) (*.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32)))) |
(/.f32 (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) |
(/.f32 (*.f32 (neg.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) |
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) cosTheta)) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (/.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (PI.f32)))) |
(*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) |
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) |
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))) |
(*.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta)) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta)) |
(*.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (PI.f32))))) |
(*.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta)) |
(*.f32 (pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) |
(*.f32 (pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (neg.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 cosTheta))) |
(neg.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (neg.f32 cosTheta))) |
(exp.f32 (*.f32 (log.f32 (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) #s(literal 1 binary32))) |
(/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))))) |
(/.f32 (neg.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) (neg.f32 cosTheta)) |
(/.f32 (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) #s(literal 1 binary32)) cosTheta) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))) (neg.f32 (neg.f32 cosTheta))) |
(/.f32 (/.f32 (neg.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) #s(literal -1 binary32)) cosTheta) |
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta)) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta)) |
(*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta)) |
(*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) cosTheta))) |
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 #s(literal 1 binary32) cosTheta)) |
(*.f32 (neg.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) (/.f32 #s(literal 1 binary32) (neg.f32 cosTheta))) |
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) |
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))) #s(literal -1 binary32))) |
(*.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (+.f32 #s(literal 1 binary32) c)))) |
(exp.f32 (*.f32 (log1p.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) c)) #s(literal -1 binary32))) |
(pow.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (+.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32)) |
(pow.f32 (neg.f32 (neg.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (+.f32 #s(literal 1 binary32) c)))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (+.f32 #s(literal 1 binary32) c)) (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (+.f32 #s(literal 1 binary32) c))) #s(literal -1/2 binary32)) |
(pow.f32 (exp.f32 (log1p.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) c))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (+.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (+.f32 #s(literal 1 binary32) c)))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (+.f32 #s(literal 1 binary32) c)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (+.f32 #s(literal 1 binary32) c))))) |
(*.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) cosTheta) #s(literal 3 binary32)))) (fma.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) cosTheta) (-.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) cosTheta) (+.f32 #s(literal 1 binary32) c)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) cosTheta) #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) cosTheta) (-.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) cosTheta) (+.f32 #s(literal 1 binary32) c)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) cosTheta) #s(literal 2 binary32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) cosTheta))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) cosTheta) #s(literal 2 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) cosTheta))) #s(literal -1 binary32))) |
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) c)) #s(literal -1 binary32)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) c)) |
(+.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) cosTheta) (+.f32 #s(literal 1 binary32) c)) |
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(/.f32 (neg.f32 (fma.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (*.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))))) (neg.f32 (fma.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (-.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))))) |
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(/.f32 (+.f32 (pow.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (fma.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))) |
(/.f32 (-.f32 (*.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta)) (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) |
(/.f32 (-.f32 (*.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta cosTheta)) (-.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) |
(*.f32 (fma.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (*.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (-.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))))) |
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(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta)) #s(literal -1 binary32))) |
(pow.f32 (/.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) #s(literal -1 binary32)) |
(pow.f32 (/.f32 cosTheta (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32)) |
(pow.f32 (pow.f32 (/.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (/.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (/.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta)) #s(literal -1/2 binary32)) |
(pow.f32 (exp.f32 (log.f32 (/.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta)) |
(/.f32 cosTheta (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) |
(/.f32 (neg.f32 cosTheta) (neg.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) |
(/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (neg.f32 cosTheta))) |
(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) cosTheta)) |
(*.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) |
(*.f32 cosTheta (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (neg.f32 cosTheta)))) |
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(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
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(+.f32 (neg.f32 cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) |
(pow.f32 (/.f32 (fma.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) #s(literal -1 binary32)) |
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(fma.f32 cosTheta #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) |
(fma.f32 #s(literal -1 binary32) cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) |
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(-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) |
(-.f32 #s(literal 1 binary32) (-.f32 cosTheta (neg.f32 cosTheta))) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
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(-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))) (/.f32 (*.f32 cosTheta cosTheta) (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))) |
(-.f32 (+.f32 (-.f32 #s(literal 1 binary32) cosTheta) #s(literal 0 binary32)) cosTheta) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))))) |
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(pow.f32 (/.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (*.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)))) #s(literal -1 binary32)) |
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(fma.f32 cosTheta #s(literal 1 binary32) (*.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))))) |
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(fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) cosTheta) (fma.f32 cosTheta c cosTheta)) |
(fma.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) (fma.f32 cosTheta c cosTheta)) |
(fma.f32 (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) cosTheta (fma.f32 cosTheta c cosTheta)) |
(fma.f32 (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta cosTheta) |
(fma.f32 (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (fma.f32 cosTheta c cosTheta)) |
(fma.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta c cosTheta)) |
(-.f32 (/.f32 (*.f32 cosTheta (*.f32 (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))))) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta))) (/.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)))) |
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(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (*.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta))))) |
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(pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 1/2 binary32)) |
(pow.f32 (/.f32 (PI.f32) (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) #s(literal -1/2 binary32)) |
(pow.f32 (sqrt.f32 (/.f32 (PI.f32) (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) #s(literal -1 binary32)) |
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(pow.f32 (exp.f32 (log.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal 1/2 binary32)) |
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(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) |
(*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) |
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 1/4 binary32))) |
(*.f32 (pow.f32 (*.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) |
(neg.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (neg.f32 c)))) |
(neg.f32 (/.f32 (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (*.f32 cosTheta c))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 cosTheta c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 (*.f32 cosTheta c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 (*.f32 cosTheta c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 c (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 cosTheta c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 c (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 cosTheta c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) |
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) |
(/.f32 (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (*.f32 cosTheta (neg.f32 c))) |
(/.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) c) |
(/.f32 (*.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta c))) |
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) (neg.f32 (*.f32 cosTheta (neg.f32 c)))) |
(/.f32 (neg.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) (neg.f32 c)) |
(/.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c) cosTheta) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) (*.f32 cosTheta c)) |
(/.f32 (*.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) (sqrt.f32 (PI.f32))) |
(*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c))) |
(*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) |
(*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(*.f32 (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (neg.f32 c)))) |
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (/.f32 c (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32))) |
(*.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (/.f32 #s(literal 1 binary32) c)) |
(*.f32 (pow.f32 (/.f32 (*.f32 cosTheta c) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) #s(literal 1/2 binary32))) |
(exp.f32 (fma.f32 (log1p.f32 (-.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (log.f32 (PI.f32))))) |
(exp.f32 (-.f32 (*.f32 (log1p.f32 (-.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))))) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)) #s(literal 1/2 binary32)) |
(pow.f32 (/.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) #s(literal -1/2 binary32)) |
(pow.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)) (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) #s(literal 1/4 binary32)) |
(pow.f32 (exp.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))))) |
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))) |
(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))) (sqrt.f32 (neg.f32 (PI.f32)))) |
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))) (neg.f32 (sqrt.f32 (PI.f32)))) |
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) |
(*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) |
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))) |
(*.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)) #s(literal 1/4 binary32))) |
(*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) #s(literal 1 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) |
(+.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) #s(literal 1 binary32)) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) (-.f32 (*.f32 c c) c))) |
(+.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) (-.f32 (*.f32 c c) c)) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) #s(literal 1 binary32))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))))) (*.f32 (-.f32 (*.f32 c c) c) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))))) |
(+.f32 (*.f32 (-.f32 (*.f32 c c) c) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))))) (*.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) (*.f32 (-.f32 (*.f32 c c) c) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))))) |
(fma.f32 (-.f32 (*.f32 c c) c) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))))) |
(fma.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) #s(literal 1 binary32) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) (-.f32 (*.f32 c c) c))) |
(fma.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) (-.f32 (*.f32 c c) c) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) #s(literal 1 binary32))) |
(/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) (fma.f32 (*.f32 c (*.f32 c c)) (*.f32 (*.f32 (+.f32 c #s(literal -1 binary32)) (+.f32 c #s(literal -1 binary32))) (+.f32 c #s(literal -1 binary32))) #s(literal 1 binary32))) (fma.f32 c (*.f32 (+.f32 c #s(literal -1 binary32)) (-.f32 (*.f32 c c) c)) (-.f32 #s(literal 1 binary32) (-.f32 (*.f32 c c) c)))) |
(/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) (fma.f32 (-.f32 (*.f32 c c) c) (-.f32 (*.f32 c c) c) #s(literal -1 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal -1 binary32))) |
(/.f32 (*.f32 (fma.f32 (*.f32 c (*.f32 c c)) (*.f32 (*.f32 (+.f32 c #s(literal -1 binary32)) (+.f32 c #s(literal -1 binary32))) (+.f32 c #s(literal -1 binary32))) #s(literal 1 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))))) (fma.f32 c (*.f32 (+.f32 c #s(literal -1 binary32)) (-.f32 (*.f32 c c) c)) (-.f32 #s(literal 1 binary32) (-.f32 (*.f32 c c) c)))) |
(/.f32 (*.f32 (fma.f32 (-.f32 (*.f32 c c) c) (-.f32 (*.f32 c c) c) #s(literal -1 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal -1 binary32))) |
(*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))))) |
(*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))))) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) |
(*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) |
(*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) |
| 1× | egg-herbie |
| 6 908× | *-lowering-*.f32 |
| 6 908× | *-lowering-*.f64 |
| 6 046× | accelerator-lowering-fma.f32 |
| 6 046× | accelerator-lowering-fma.f64 |
| 3 764× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1598 | 19557 |
| 1 | 5438 | 18949 |
| 0 | 8270 | 17871 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(/ 1 cosTheta) |
(/ (+ 1 (* -1 cosTheta)) cosTheta) |
(/ (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) cosTheta) |
(/ (+ 1 (* cosTheta (- (* cosTheta (- (* 1/2 cosTheta) 3/2)) 1))) cosTheta) |
(* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) |
(+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
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(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
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(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/ 1 c) |
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))))) |
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) |
(- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))))))) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))) |
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))))) |
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta))))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta)))))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta)))))) |
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) cosTheta)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (* -1 (+ c (* -1 (sqrt (/ 1 (PI))))))) 1) cosTheta)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (* -1 (+ c (* -1 (sqrt (/ 1 (PI))))))) 1) cosTheta)))) |
(+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) |
(+ cosTheta (+ (sqrt (/ 1 (PI))) (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) |
(+ cosTheta (+ (sqrt (/ 1 (PI))) (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) |
(+ cosTheta (+ (sqrt (/ 1 (PI))) (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) |
(* c cosTheta) |
(* c (+ cosTheta (+ (* (/ 1 c) (sqrt (/ 1 (PI)))) (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c))))) |
(* c (+ cosTheta (+ (* (/ 1 c) (sqrt (/ 1 (PI)))) (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c))))) |
(* c (+ cosTheta (+ (* (/ 1 c) (sqrt (/ 1 (PI)))) (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c))))) |
(* c cosTheta) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) c))))) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) c))))) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) c))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))))))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI)))) |
(/ (+ (* -2/3 (sqrt (PI))) (* -4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))) cosTheta) |
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* 4/9 (sqrt (PI)))) (pow cosTheta 2))) (* -2/3 (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))) cosTheta) |
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) (* 2/3 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* 4/9 (sqrt (PI)))))))) (pow cosTheta 3))) (* -2/3 (sqrt (PI)))) (+ (* 8/27 (* (/ (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2) (pow cosTheta 2)) (sqrt (pow (PI) 3)))) (+ (* 4/9 (* (/ 1 (pow cosTheta 2)) (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))))) cosTheta) |
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI)))) |
(* -1 (/ (+ (* -4/9 (/ (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -4/9 (* (/ 1 cosTheta) (sqrt (PI)))) (* -8/27 (* (/ (pow (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) 2) cosTheta) (sqrt (pow (PI) 3))))) (* -4/9 (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8/27 (/ (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) cosTheta)) (* 2/3 (* (/ (* (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (sqrt (pow (PI) 3)) (pow (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) 2)))) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) cosTheta) (sqrt (PI))))) (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (sqrt (pow (PI) 3)) (pow (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) 2))))) cosTheta)) (* -4/9 (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
(/ cosTheta (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) |
(+ (* -1 (/ (* c (pow cosTheta 2)) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2))) (/ cosTheta (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))))) |
(+ (* c (- (/ (* c (pow cosTheta 3)) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 3)) (/ (pow cosTheta 2) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2)))) (/ cosTheta (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))))) |
(+ (* c (- (* c (- (* -1 (/ (* c (pow cosTheta 4)) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 4))) (* -1 (/ (pow cosTheta 3) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 3))))) (/ (pow cosTheta 2) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2)))) (/ cosTheta (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))) c) |
(/ (- (+ 1 (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) (* (pow c 2) cosTheta))) (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c)))) c) |
(/ (- (+ 1 (* -1 (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2)) (* (pow c 3) (pow cosTheta 2))))) (+ (* -1 (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) (* (pow c 2) cosTheta))) (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))))) c) |
(/ 1 c) |
(* -1 (/ (- (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) (* c cosTheta)) (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2)) (* c (pow cosTheta 2))) (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) cosTheta)) c)) (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) c)) 1) c)) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))))) cosTheta) |
(* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta))))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta)))))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta)))))) |
(* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) |
(* -1 (* cosTheta (- (+ (* -1 (/ (+ c (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI))))) (/ 1 cosTheta)))) |
(* -1 (* cosTheta (+ (* -1 (/ (+ (* -1 (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI))))))) |
(* -1 (* cosTheta (+ (* -1 (/ (+ (* -1 (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI))))))) |
(/ (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) cosTheta) |
(+ 1 (+ c (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(+ 1 (+ c (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(+ 1 (+ c (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
c |
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))))) |
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))))) |
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1))) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
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(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* c (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))) (* cosTheta (+ (* c (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))) (* c (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))))) cosTheta) |
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(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c))) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/ 1 c) |
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c)) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) 2))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (* (PI) (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) 2))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))))))) (+ (* -1 (* (* c (* (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (sqrt (pow (PI) 3)))) (* c (* (PI) (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) 2))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (* (PI) (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))))) |
(/ 1 (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI))))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))) 2))))) (/ 1 (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))) 2))))))) (* (sqrt -2) (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))) 2)))))))) |
(/ 1 (+ 1 (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI)))))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI))))))))) 2))))) (/ 1 (+ 1 (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI))))))))))) |
(- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI))))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI))))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI))))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI))))))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI))))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI))))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI))))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI))))))))) 3)))))))) (* (sqrt 2) (+ 1 (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI))))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI))))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI))))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI))))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI))))))))) 3))))))))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(/ (+ (* cosTheta (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (* cosTheta (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (* cosTheta (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI)))))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
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(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(/ (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c) |
(/ (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c) |
(/ (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c) |
1 |
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1 |
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1 |
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(exp (* -1 (pow cosTheta 2))) |
(exp (* -1 (pow cosTheta 2))) |
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(exp (* -1 (pow cosTheta 2))) |
(exp (* -1 (pow cosTheta 2))) |
(exp (* -1 (pow cosTheta 2))) |
(exp (* -1 (pow cosTheta 2))) |
(exp (* -1 (pow cosTheta 2))) |
(/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) |
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(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c) |
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(/ 1 c) |
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (/ (* cosTheta (* (PI) (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))))) (+ 1 (* c (- c 1))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (+ 1 (* c (- c 1))))))) (/ (* (PI) (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3)))) (+ 1 (* c (- c 1)))))))) |
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(/ (+ 1 (* c (- c 1))) (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (+ 1 (* c (- c 1))) 2)) (* (sqrt -2) (pow (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))) 2))))) (+ (/ 1 (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3)))) (/ (* c (- c 1)) (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3)))))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (+ 1 (* c (- c 1))) 3))) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (+ 1 (* c (- c 1))) 2)) (* (pow (sqrt -2) 3) (pow (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))) 2)))))) (pow cosTheta 4))) (+ (/ 1 (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3)))) (/ (* c (- c 1)) (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3)))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (+ 1 (* c (- c 1))) 2)) (* (sqrt -2) (pow (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (+ 1 (* c (- c 1))) (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (+ 1 (* c (- c 1))) 3))) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (+ 1 (* c (- c 1))) 2)) (* (pow (sqrt -2) 3) (pow (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))) 2)))))))) (* (sqrt -2) (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (+ 1 (* c (- c 1))) 2)) (* (pow (sqrt -2) 5) (pow (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (+ 1 (* c (- c 1))) 3))) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))) 3))))))) (pow cosTheta 6))) (+ (/ 1 (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3)))) (/ (* c (- c 1)) (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3)))))) (+ (* -1/4 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (+ 1 (* c (- c 1))) 3)) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (+ 1 (* c (- c 1))) 2)) (* (pow (sqrt -2) 3) (pow (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (+ 1 (* c (- c 1))) 2)) (* (sqrt -2) (pow (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))) 2)))))))) |
(* -1 (/ (+ 1 (* c (- c 1))) (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))) |
(+ (* -1 (/ (+ 1 (* c (- c 1))) (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (+ 1 (* c (- c 1))) 2))) (* (sqrt 2) (pow (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 2)))))) |
(+ (* -1 (/ (+ 1 (* c (- c 1))) (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (+ 1 (* c (- c 1))) 2))) (* (pow (sqrt 2) 3) (pow (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 2))))) (+ (* 1/4 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (+ 1 (* c (- c 1))) 3)) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 3)))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (+ 1 (* c (- c 1))) 2))) (* (sqrt 2) (pow (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 2)))))))) |
(+ (* -1 (/ (+ 1 (* c (- c 1))) (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (+ 1 (* c (- c 1))) (+ (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (+ 1 (* c (- c 1))) 2))) (* (pow (sqrt 2) 3) (pow (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 2))))) (* 1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (+ 1 (* c (- c 1))) 3))) (* (PI) (* (pow (sqrt 2) 2) (pow (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 3))))))))) (* (sqrt 2) (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (+ 1 (* c (- c 1))) 2))) (* (pow (sqrt 2) 3) (pow (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 2))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (+ 1 (* c (- c 1))) 2))) (* (pow (sqrt 2) 5) (pow (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 2))))) (+ (* 1/16 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (+ 1 (* c (- c 1))) 3)) (* (pow cosTheta 4) (* (PI) (* (pow (sqrt 2) 4) (pow (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 3)))))) (+ (* 1/4 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (+ 1 (* c (- c 1))) 3)) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 3)))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (+ 1 (* c (- c 1))) 2))) (* (sqrt 2) (pow (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 2))))))))))) |
(/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) cosTheta) |
(+ 1 (+ (* c (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) cosTheta)))) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ (* c (- (+ (* -1 (* c (+ 1 (* -1 (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) cosTheta))))))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) cosTheta)))) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ (* c (- (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* c (- (* c (- (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) cosTheta)) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) cosTheta))))))) (+ 1 (* -1 (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) cosTheta)))))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) cosTheta)))) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (- (+ 1 (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) (+ (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 2))) (/ 1 (pow c 2))))) |
(* c (- (+ 1 (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* (pow c 3) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))) (+ (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 2))) (+ (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 3))) (+ (/ 1 (pow c 2)) (/ 1 (pow c 3))))))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1))))))))) cosTheta) |
(/ (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))) (+ 1 (* c (- c 1)))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1)))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1))))))))) |
(* -1 (/ (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) (+ 1 (* c (- c 1))))) |
(+ (* -1 (/ (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(+ (* -1 (/ (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(+ (* -1 (/ (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) |
(+ cosTheta (+ (* -1 (* (* c (exp (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) |
(+ cosTheta (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) (* (* c (exp (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) |
(+ cosTheta (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) (* c (+ (* c cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) |
(* (pow c 3) cosTheta) |
(* (pow c 3) (+ cosTheta (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(* (pow c 3) (+ cosTheta (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(* (pow c 3) (+ cosTheta (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (pow c 3)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ cosTheta (pow c 3))))))) |
(* (pow c 3) cosTheta) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (/ (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) c))))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) c))))) |
(* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3)))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (pow c 3))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))) (pow c 3))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(* cosTheta (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3)))) |
(* cosTheta (+ 1 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))))) |
(* cosTheta (+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3)))))) |
(* cosTheta (+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))))))) |
(* -1 (* cosTheta (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))) |
(* -1 (* cosTheta (+ (* -1 (+ 1 (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))) |
(* -1 (* cosTheta (+ (* -1 (+ 1 (pow c 3))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))) |
(* -1 (* cosTheta (+ (* -1 (+ 1 (pow c 3))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))))) |
1 |
(+ 1 (pow c 3)) |
(+ 1 (pow c 3)) |
(+ 1 (pow c 3)) |
(pow c 3) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(pow c 3) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
1 |
(+ 1 (* -2 cosTheta)) |
(+ 1 (* -2 cosTheta)) |
(+ 1 (* -2 cosTheta)) |
(* -2 cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* -2 cosTheta) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) |
(* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) |
(* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) |
(* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) |
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta))))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta))))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta))))) |
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) cosTheta)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) cosTheta)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) cosTheta)))) |
(+ cosTheta (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))) |
(+ cosTheta (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) |
(+ cosTheta (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) |
(+ cosTheta (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) |
(* c cosTheta) |
(* c (+ cosTheta (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c)))) |
(* c (+ cosTheta (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c)))) |
(* c (+ cosTheta (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c)))) |
(* c cosTheta) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))) c))))) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))) c))))) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))) c))))) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(/ (+ (* -1 (* (/ cosTheta c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ cosTheta c) (sqrt (/ 1 (PI))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ cosTheta c) (sqrt (/ 1 (PI))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI))))) |
(+ (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))) |
(+ (* -1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI))))))) |
(+ (* -1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/16 (* (/ 1 (* c (pow (sqrt -2) 5))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))))) |
(* -1 (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI))))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* -1/16 (* (/ (sqrt -1) (* c (pow (sqrt 2) 5))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI))))))))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))) |
(+ (* -1 (* (* c (exp (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) |
(+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) (* (* c (exp (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) |
(+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) (* (* c (exp (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) |
(* (* (pow c 2) (exp (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (pow c 2) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) |
(* (pow c 2) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))) (* (/ (exp (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(* (pow c 2) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))) (* (/ (exp (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(* (* (pow c 2) (exp (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (pow c 2) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) |
(* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))) |
(+ (* -1 (* (* cosTheta (+ 1 (* c (- c 1)))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(* (sqrt (/ cosTheta (PI))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1))))))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))) |
| Outputs |
|---|
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32)))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(*.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))))))) |
(/ 1 cosTheta) |
(/.f32 #s(literal 1 binary32) cosTheta) |
(/ (+ 1 (* -1 cosTheta)) cosTheta) |
(/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(/ (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) cosTheta) |
(/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) |
(/ (+ 1 (* cosTheta (- (* cosTheta (- (* 1/2 cosTheta) 3/2)) 1))) cosTheta) |
(/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) |
(* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) |
(*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) |
(+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))))) |
(* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(fma.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(fma.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 #s(literal -1/16 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))))))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) (/.f32 c (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(fma.f32 c (-.f32 (/.f32 c (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
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(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) c)) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 c c)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 c (*.f32 c c)))) (-.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)) (/.f32 (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 c c)))) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32))) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32)) c) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) c)) #s(literal -1 binary32)) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 3 binary32)) c) (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32))) c)) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) c)) #s(literal -1 binary32)) c)) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (fma.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (neg.f32 (fma.f32 (neg.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (fma.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)))) (fma.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (neg.f32 (fma.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)))))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) c))) |
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(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) |
(fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)) |
c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) c))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) c))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) c))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c)) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) c)) |
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
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(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) |
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(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))) |
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(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))))) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) c) (fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))))))) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) |
(fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))))) |
(fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (fma.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))))) |
(fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (fma.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))) |
(*.f32 (*.f32 #s(literal -3/2 binary32) (*.f32 cosTheta cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta))))) |
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta)))))) |
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta)))))) |
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))) |
(*.f32 (*.f32 #s(literal -3/2 binary32) (*.f32 cosTheta cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) cosTheta)))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)) cosTheta))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (* -1 (+ c (* -1 (sqrt (/ 1 (PI))))))) 1) cosTheta)))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (+.f32 (neg.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal -1 binary32)) cosTheta))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (* -1 (+ c (* -1 (sqrt (/ 1 (PI))))))) 1) cosTheta)))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (+.f32 (neg.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal -1 binary32)) cosTheta))) |
(+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) |
(fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(+ cosTheta (+ (sqrt (/ 1 (PI))) (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) |
(+.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) (*.f32 cosTheta c)))) |
(+ cosTheta (+ (sqrt (/ 1 (PI))) (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) |
(+.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) (*.f32 cosTheta c)))) |
(+ cosTheta (+ (sqrt (/ 1 (PI))) (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) |
(+.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) (*.f32 cosTheta c)))) |
(* c cosTheta) |
(*.f32 cosTheta c) |
(* c (+ cosTheta (+ (* (/ 1 c) (sqrt (/ 1 (PI)))) (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c))))) |
(*.f32 c (+.f32 cosTheta (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c)) (/.f32 cosTheta c))))) |
(* c (+ cosTheta (+ (* (/ 1 c) (sqrt (/ 1 (PI)))) (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c))))) |
(*.f32 c (+.f32 cosTheta (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c)) (/.f32 cosTheta c))))) |
(* c (+ cosTheta (+ (* (/ 1 c) (sqrt (/ 1 (PI)))) (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c))))) |
(*.f32 c (+.f32 cosTheta (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c)) (/.f32 cosTheta c))))) |
(* c cosTheta) |
(*.f32 cosTheta c) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) c))))) |
(*.f32 (-.f32 (neg.f32 cosTheta) (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) c)) (neg.f32 c)) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) c))))) |
(*.f32 (-.f32 (neg.f32 cosTheta) (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) c)) (neg.f32 c)) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) c))))) |
(*.f32 (-.f32 (neg.f32 cosTheta) (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) c)) (neg.f32 c)) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (fma.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (neg.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))))))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (fma.f32 (neg.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (fma.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (neg.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 #s(literal 3/2 binary32) (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (neg.f32 (fma.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (neg.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI)))) |
(*.f32 #s(literal -2/3 binary32) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/ (+ (* -2/3 (sqrt (PI))) (* -4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))) cosTheta) |
(/.f32 (fma.f32 #s(literal -4/9 binary32) (/.f32 (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -2/3 binary32))) cosTheta) |
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* 4/9 (sqrt (PI)))) (pow cosTheta 2))) (* -2/3 (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))) cosTheta) |
(/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 8/27 binary32) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 4/9 binary32))) (*.f32 cosTheta cosTheta))) (fma.f32 #s(literal -4/9 binary32) (/.f32 (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -2/3 binary32)))) cosTheta) |
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) (* 2/3 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* 4/9 (sqrt (PI)))))))) (pow cosTheta 3))) (* -2/3 (sqrt (PI)))) (+ (* 8/27 (* (/ (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2) (pow cosTheta 2)) (sqrt (pow (PI) 3)))) (+ (* 4/9 (* (/ 1 (pow cosTheta 2)) (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))))) cosTheta) |
(/.f32 (-.f32 (-.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal -2/3 binary32)) (/.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (fma.f32 (*.f32 #s(literal 8/27 binary32) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 4/9 binary32)))) (*.f32 (*.f32 #s(literal 8/27 binary32) (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (fma.f32 #s(literal 8/27 binary32) (/.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 cosTheta cosTheta)) (*.f32 #s(literal 4/9 binary32) (+.f32 (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))))) cosTheta) |
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI)))) |
(*.f32 #s(literal -2/3 binary32) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(* -1 (/ (+ (* -4/9 (/ (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (PI.f32)) #s(literal 2/3 binary32) (/.f32 (*.f32 (*.f32 #s(literal -4/9 binary32) (PI.f32)) (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32))) cosTheta)) cosTheta)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -4/9 (* (/ 1 cosTheta) (sqrt (PI)))) (* -8/27 (* (/ (pow (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) 2) cosTheta) (sqrt (pow (PI) 3))))) (* -4/9 (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
(neg.f32 (/.f32 (-.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2/3 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal -4/9 binary32) (fma.f32 #s(literal -8/27 binary32) (/.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)) (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)))) cosTheta) (*.f32 #s(literal 4/9 binary32) (*.f32 (PI.f32) (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)))))) cosTheta)) cosTheta)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8/27 (/ (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) cosTheta)) (* 2/3 (* (/ (* (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (sqrt (pow (PI) 3)) (pow (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) 2)))) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) cosTheta) (sqrt (PI))))) (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (sqrt (pow (PI) 3)) (pow (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) 2))))) cosTheta)) (* -4/9 (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
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(/ cosTheta (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) |
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(+ (* -1 (/ (* c (pow cosTheta 2)) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2))) (/ cosTheta (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))))) |
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(+ (* c (- (* c (- (* -1 (/ (* c (pow cosTheta 4)) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 4))) (* -1 (/ (pow cosTheta 3) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 3))))) (/ (pow cosTheta 2) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2)))) (/ cosTheta (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))))) |
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(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ (+ 1 (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))) c) |
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(/ (- (+ 1 (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) (* (pow c 2) cosTheta))) (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c)))) c) |
(/.f32 (-.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (*.f32 cosTheta (*.f32 c c))) #s(literal 1 binary32)) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) (/.f32 #s(literal 1 binary32) c)))) c) |
(/ (- (+ 1 (* -1 (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2)) (* (pow c 3) (pow cosTheta 2))))) (+ (* -1 (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) (* (pow c 2) cosTheta))) (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))))) c) |
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(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* -1 (/ (- (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))) 1) c)) |
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(* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) (* c cosTheta)) (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) c)) 1) c)) |
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2)) (* c (pow cosTheta 2))) (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) cosTheta)) c)) (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) c)) 1) c)) |
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
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(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))))) cosTheta) |
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(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (fma.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) |
(*.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta))))) |
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta)))))) |
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta)))))) |
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) |
(*.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* -1 (* cosTheta (- (+ (* -1 (/ (+ c (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI))))) (/ 1 cosTheta)))) |
(*.f32 (neg.f32 cosTheta) (-.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (/.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta))) |
(* -1 (* cosTheta (+ (* -1 (/ (+ (* -1 (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI))))))) |
(*.f32 (neg.f32 cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32) (/.f32 (neg.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)))) cosTheta))) |
(* -1 (* cosTheta (+ (* -1 (/ (+ (* -1 (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI))))))) |
(*.f32 (neg.f32 cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32) (/.f32 (neg.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)))) cosTheta))) |
(/ (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) cosTheta) |
(/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta) |
(+ 1 (+ c (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(+ 1 (+ c (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(+ 1 (+ c (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
c |
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))))) |
(+.f32 c (*.f32 c (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) (/.f32 #s(literal 1 binary32) c))))) |
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))))) |
(+.f32 c (*.f32 c (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) (/.f32 #s(literal 1 binary32) c))))) |
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))))) |
(+.f32 c (*.f32 c (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) (/.f32 #s(literal 1 binary32) c))))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) c) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) c) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) c) #s(literal -1 binary32)) (neg.f32 c)) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)) |
c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) c))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) c))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) c))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c)) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (fma.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* c (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (fma.f32 c (fma.f32 cosTheta (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))) (* cosTheta (+ (* c (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))) (* c (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 cosTheta (*.f32 c (fma.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32)))) (*.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))) |
(fma.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) c)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(+ 1 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI))))))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) c)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32)))))) |
(+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))))) |
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(+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI))))))))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (fma.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) c)) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32)))))))) |
(+ 1 (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI))))))))) |
(fma.f32 c (fma.f32 (/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) c) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(+ 1 (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI)))))))))) |
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(+ 1 (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))) (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI))))))))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 c (fma.f32 (/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) c) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) #s(literal 1 binary32)) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))))))) |
(+ 1 (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))) (* c (+ 1 (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI)))))))))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) (fma.f32 c (fma.f32 (/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) c) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) #s(literal 1 binary32)) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) (/.f32 c (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(fma.f32 c (-.f32 (/.f32 c (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(fma.f32 c (fma.f32 c (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 c (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 4 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c))) c) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) c)) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 c c)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 c (*.f32 c c)))) (-.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)) (/.f32 (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 c c)))) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32))) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c)) |
(neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32)) c) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) c)) #s(literal -1 binary32)) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c)) |
(neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 3 binary32)) c) (pow.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32))) c)) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) c)) #s(literal -1 binary32)) c)) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))))) |
(*.f32 cosTheta (fma.f32 (neg.f32 (*.f32 cosTheta (PI.f32))) (fma.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) 2))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (* (PI) (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (fma.f32 (*.f32 (fma.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal 1 binary32)) (fma.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 c (*.f32 (PI.f32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32))))) (*.f32 (fma.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal 1 binary32)) (neg.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) 2))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))))))) (+ (* -1 (* (* c (* (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (sqrt (pow (PI) 3)))) (* c (* (PI) (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) 2))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (* (PI) (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (fma.f32 (neg.f32 (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal 1 binary32)))) (fma.f32 (*.f32 (fma.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal 1 binary32)) (fma.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 c (*.f32 (PI.f32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32))))) (fma.f32 (*.f32 (*.f32 c (fma.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal 1 binary32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 c (PI.f32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))))) (neg.f32 (fma.f32 (*.f32 (fma.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal 1 binary32)) (fma.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 c (*.f32 (PI.f32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32))))))) (*.f32 (fma.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal 1 binary32)) (neg.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(/ 1 (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI))))))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))) 2))))) (/ 1 (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (fma.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) c)) #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) c)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* c (+ 1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))) 2)))))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
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(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 c c)) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) cosTheta) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (+.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) cosTheta)))))) cosTheta)) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta))) (*.f32 c (*.f32 c c)))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (neg.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta (*.f32 c c)))) (fma.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) (*.f32 cosTheta (*.f32 c c))) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32))) c)) |
(* -1 (/ (- (* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) (-.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))) c)) #s(literal -1 binary32)) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) (*.f32 cosTheta c)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (+.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) cosTheta)) #s(literal 1 binary32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (+.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) cosTheta)) #s(literal 1 binary32))) c)) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) c)) #s(literal -1 binary32)) c)) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (/ (* cosTheta (* (PI) (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))))) (+ 1 (* c (- c 1))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (*.f32 (neg.f32 (PI.f32)) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (+ 1 (* c (- c 1))))))) (/ (* (PI) (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3)))) (+ 1 (* c (- c 1)))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (fma.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -3/2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 (neg.f32 (PI.f32)) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (/ (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (+ 1 (* c (- c 1)))))) (+ 1 (* c (- c 1)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))) (+ 1 (* c (- c 1)))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (+ 1 (* c (- c 1))))))) (/ (* (PI) (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3)))) (+ 1 (* c (- c 1)))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (fma.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (fma.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -3/2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32))) (fma.f32 (PI.f32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (/.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -3/2 binary32)) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (neg.f32 (fma.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -3/2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) (*.f32 (neg.f32 (PI.f32)) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (PI.f32)))) |
(/ (+ 1 (* c (- c 1))) (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3)))) |
(/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 c c))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (+ 1 (* c (- c 1))) 2)) (* (sqrt -2) (pow (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))) 2))))) (+ (/ 1 (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3)))) (/ (* c (- c 1)) (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3)))))) |
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(/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) cosTheta) |
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(+ 1 (+ (* c (- (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* c (- (* c (- (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) cosTheta)) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) cosTheta))))))) (+ 1 (* -1 (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) cosTheta)))))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) cosTheta)))) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (fma.f32 c (fma.f32 c (-.f32 (neg.f32 (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) cosTheta)) (neg.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) cosTheta))))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) cosTheta))))) (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) cosTheta))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta))) |
c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) c))) |
(* c (- (+ 1 (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) (+ (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 2))) (/ 1 (pow c 2))))) |
(*.f32 c (-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (neg.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta (*.f32 c c)))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 c c)) (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) (*.f32 c c))))) |
(* c (- (+ 1 (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* (pow c 3) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))) (+ (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 2))) (+ (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 3))) (+ (/ 1 (pow c 2)) (/ 1 (pow c 3))))))) |
(*.f32 c (-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (neg.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta (*.f32 c c)))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (neg.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta (*.f32 c (*.f32 c c))))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))))) (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 c c)) (/.f32 #s(literal 1 binary32) (*.f32 c (*.f32 c c)))) (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) (*.f32 c c))))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c)) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1)))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 c (*.f32 c c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (-.f32 (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 c (*.f32 c c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (-.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 c (*.f32 c c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))) (+ 1 (* c (- c 1)))) |
(/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 c c)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1))))))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 c (*.f32 c c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1)))))))) |
(fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 c (*.f32 c c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1))))))))) |
(fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 c (*.f32 c c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))))) |
(* -1 (/ (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) (+ 1 (* c (- c 1))))) |
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(+ (* -1 (/ (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(+ (* -1 (/ (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))))) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(+ (* -1 (/ (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))))) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) |
(fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) |
(+ cosTheta (+ (* -1 (* (* c (exp (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) |
(+.f32 cosTheta (fma.f32 c (neg.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))) |
(+ cosTheta (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) (* (* c (exp (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) |
(+.f32 cosTheta (fma.f32 c (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) c) (neg.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))) |
(+ cosTheta (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) (* c (+ (* c cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) |
(+.f32 cosTheta (fma.f32 c (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (*.f32 c (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))) |
(* (pow c 3) cosTheta) |
(*.f32 cosTheta (*.f32 c (*.f32 c c))) |
(* (pow c 3) (+ cosTheta (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(*.f32 (*.f32 c (*.f32 c c)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) c) cosTheta)) |
(* (pow c 3) (+ cosTheta (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(*.f32 (*.f32 c (*.f32 c c)) (+.f32 (-.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 c c)))) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) c))) |
(* (pow c 3) (+ cosTheta (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (pow c 3)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ cosTheta (pow c 3))))))) |
(*.f32 (*.f32 c (*.f32 c c)) (+.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (neg.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 c c))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) c) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 c (*.f32 c c))) (/.f32 cosTheta (*.f32 c (*.f32 c c)))))))) |
(* (pow c 3) cosTheta) |
(*.f32 cosTheta (*.f32 c (*.f32 c c))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) |
(*.f32 (neg.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) c) cosTheta)) (neg.f32 (*.f32 c (*.f32 c c)))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (/ (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) c))))) |
(*.f32 (-.f32 (neg.f32 cosTheta) (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) c) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) c)) (neg.f32 (*.f32 c (*.f32 c c)))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) c))))) |
(*.f32 (-.f32 (neg.f32 cosTheta) (/.f32 (-.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (/.f32 (-.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) c)) c)) c)) (neg.f32 (*.f32 c (*.f32 c c)))) |
(* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3)))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (pow c 3))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (fma.f32 cosTheta (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -3/2 binary32)) (*.f32 c (*.f32 c c))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))) (pow c 3))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(fma.f32 cosTheta (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (fma.f32 cosTheta (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -3/2 binary32) (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) (*.f32 c (*.f32 c c)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(* cosTheta (+ 1 (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3)))) |
(+.f32 cosTheta (*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 c c))))) |
(* cosTheta (+ 1 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))))) |
(+.f32 cosTheta (*.f32 cosTheta (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 c c)))))) |
(* cosTheta (+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3)))))) |
(+.f32 cosTheta (*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 c c))))))) |
(* cosTheta (+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (pow c 3))))))) |
(+.f32 cosTheta (*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 c c)))))))) |
(* -1 (* cosTheta (+ (* -1 (+ 1 (pow c 3))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))) |
(*.f32 (neg.f32 cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32))))) |
(* -1 (* cosTheta (+ (* -1 (+ 1 (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))) |
(*.f32 (neg.f32 cosTheta) (-.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(literal 2 binary32)))))) (fma.f32 c (*.f32 c c) #s(literal 1 binary32)))) |
(* -1 (* cosTheta (+ (* -1 (+ 1 (pow c 3))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))) |
(*.f32 (neg.f32 cosTheta) (-.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(literal 2 binary32))))))) (fma.f32 c (*.f32 c c) #s(literal 1 binary32)))) |
(* -1 (* cosTheta (+ (* -1 (+ 1 (pow c 3))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))))) |
(*.f32 (neg.f32 cosTheta) (-.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(literal 2 binary32)))))))) (fma.f32 c (*.f32 c c) #s(literal 1 binary32)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (pow c 3)) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(+ 1 (pow c 3)) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(+ 1 (pow c 3)) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(pow c 3) |
(*.f32 c (*.f32 c c)) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(pow c 3) |
(*.f32 c (*.f32 c c)) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 cosTheta)) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
(+ 1 (* -2 cosTheta)) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
(+ 1 (* -2 cosTheta)) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
(* -2 cosTheta) |
(*.f32 cosTheta #s(literal -2 binary32)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32))) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32))) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32))) |
(* -2 cosTheta) |
(*.f32 cosTheta #s(literal -2 binary32)) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(neg.f32 (*.f32 cosTheta (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(neg.f32 (*.f32 cosTheta (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(neg.f32 (*.f32 cosTheta (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))) |
(* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) |
(*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) |
(*.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (fma.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) |
(*.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (fma.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) |
(*.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (fma.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))) |
(*.f32 (*.f32 #s(literal -3/2 binary32) (*.f32 cosTheta cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta))))) |
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta))))) |
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta))))) |
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))) |
(*.f32 (*.f32 #s(literal -3/2 binary32) (*.f32 cosTheta cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) cosTheta)))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)) cosTheta))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) cosTheta)))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)) cosTheta))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) cosTheta)))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)) cosTheta))) |
(+ cosTheta (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))) |
(fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) cosTheta) |
(+ cosTheta (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) |
(+.f32 cosTheta (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) (*.f32 cosTheta c))) |
(+ cosTheta (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) |
(+.f32 cosTheta (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) (*.f32 cosTheta c))) |
(+ cosTheta (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) |
(+.f32 cosTheta (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) (*.f32 cosTheta c))) |
(* c cosTheta) |
(*.f32 cosTheta c) |
(* c (+ cosTheta (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c)))) |
(*.f32 c (+.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c)) (/.f32 cosTheta c)))) |
(* c (+ cosTheta (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c)))) |
(*.f32 c (+.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c)) (/.f32 cosTheta c)))) |
(* c (+ cosTheta (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c)))) |
(*.f32 c (+.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c)) (/.f32 cosTheta c)))) |
(* c cosTheta) |
(*.f32 cosTheta c) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))) c))))) |
(*.f32 (-.f32 (neg.f32 cosTheta) (/.f32 (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) cosTheta) c)) (neg.f32 c)) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))) c))))) |
(*.f32 (-.f32 (neg.f32 cosTheta) (/.f32 (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) cosTheta) c)) (neg.f32 c)) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))) c))))) |
(*.f32 (-.f32 (neg.f32 cosTheta) (/.f32 (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) cosTheta) c)) (neg.f32 c)) |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(fma.f32 cosTheta (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(fma.f32 cosTheta (fma.f32 cosTheta (*.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(*.f32 cosTheta (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 #s(literal 2 binary32)))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(*.f32 (neg.f32 cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(*.f32 (neg.f32 cosTheta) (fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(neg.f32 (*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) |
(/ (+ (* -1 (* (/ cosTheta c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (/.f32 cosTheta c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) cosTheta) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ cosTheta c) (sqrt (/ 1 (PI))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 cosTheta c)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) cosTheta) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ cosTheta c) (sqrt (/ 1 (PI))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 cosTheta c)))) (neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) cosTheta) |
(* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI))))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) c)) |
(+ (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) c)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) c))) |
(+ (* -1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI))))))) |
(fma.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)) c)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) c)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) c)))) |
(+ (* -1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/16 (* (/ 1 (* c (pow (sqrt -2) 5))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))))) |
(fma.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)) c)) (fma.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)) c)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) c)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) c))))) |
(* -1 (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (sqrt.f32 #s(literal 2 binary32)) c)))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI))))))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) c))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (sqrt.f32 #s(literal 2 binary32)) c))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (sqrt.f32 #s(literal 2 binary32)) c))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) c)) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))) c)))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* -1/16 (* (/ (sqrt -1) (* c (pow (sqrt 2) 5))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI))))))))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (sqrt.f32 #s(literal 2 binary32)) c))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) c)) (fma.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))) c))) (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)) c))))))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(fma.f32 cosTheta (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(fma.f32 cosTheta (fma.f32 cosTheta (*.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(*.f32 cosTheta (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 #s(literal 2 binary32)))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(*.f32 (neg.f32 cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(*.f32 (neg.f32 cosTheta) (fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(neg.f32 (*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))) |
(* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))) |
(*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) |
(+ (* -1 (* (* c (exp (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) |
(fma.f32 c (neg.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) |
(+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) (* (* c (exp (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) |
(fma.f32 c (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) c) (neg.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) |
(+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) (* (* c (exp (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) |
(fma.f32 c (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) c) (neg.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) |
(* (* (pow c 2) (exp (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 c c))) |
(* (pow c 2) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) |
(*.f32 (*.f32 c c) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) c) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))) |
(* (pow c 2) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))) (* (/ (exp (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(*.f32 (*.f32 c c) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (neg.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) c)) (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 c c)))))) |
(* (pow c 2) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))) (* (/ (exp (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(*.f32 (*.f32 c c) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (neg.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) c)) (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 c c)))))) |
(* (* (pow c 2) (exp (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 c c))) |
(* (pow c 2) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) |
(*.f32 (*.f32 c c) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) c) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) |
(*.f32 (*.f32 c c) (-.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) c) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) c))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) |
(*.f32 (*.f32 c c) (-.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) c) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) c))) |
(* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) |
(+ (* -1 (* (* cosTheta (+ 1 (* c (- c 1)))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(fma.f32 cosTheta (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(fma.f32 cosTheta (fma.f32 cosTheta (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -3/2 binary32)) (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -3/2 binary32) (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(* (sqrt (/ cosTheta (PI))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) |
(*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))) |
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1))))))))) |
(*.f32 cosTheta (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32)))))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* c (- c 1)))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))))) |
(*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))))))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) |
(*.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))) |
(neg.f32 (*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(literal 2 binary32)))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))) |
(*.f32 (neg.f32 cosTheta) (fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(literal 2 binary32)))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ 1 (* c (- c 1))))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))) |
(*.f32 (neg.f32 cosTheta) (fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(literal 2 binary32))))))))) |
Compiled 53 135 to 4 799 computations (91% saved)
35 alts after pruning (34 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 186 | 29 | 1 215 |
| Fresh | 21 | 5 | 26 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 211 | 35 | 1 246 |
| Status | Accuracy | Program |
|---|---|---|
| 97.3% | (pow.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) | |
| 55.7% | (pow.f32 (*.f32 (/.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (/.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta)) #s(literal -1/2 binary32)) | |
| ▶ | 96.2% | (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) cosTheta)) |
| 57.7% | (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) cosTheta)) (fma.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (neg.f32 (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (*.f32 cosTheta (neg.f32 cosTheta)))))))) | |
| 95.8% | (/.f32 cosTheta (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) | |
| 97.7% | (/.f32 cosTheta (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) | |
| 96.0% | (/.f32 cosTheta (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) | |
| 97.4% | (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) | |
| 60.1% | (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) | |
| 59.7% | (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) | |
| 58.9% | (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) | |
| 60.4% | (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) c) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32))) | |
| 60.4% | (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)) #s(literal 1 binary32))) | |
| 57.3% | (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) | |
| 53.6% | (/.f32 #s(literal 1 binary32) (fma.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32))) | |
| ▶ | 59.6% | (/.f32 #s(literal 1 binary32) (fma.f32 c (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c))) #s(literal 1 binary32))) |
| ▶ | 95.9% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta)) |
| ▶ | 97.8% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
| 96.6% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) | |
| 95.9% | (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta))) (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta))) cosTheta)) | |
| 96.5% | (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta))) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta))))) | |
| 49.5% | (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (+.f32 (neg.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal -1 binary32)) cosTheta))) cosTheta)) | |
| 91.4% | (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) | |
| 91.5% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) | |
| 96.7% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 96.1% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 94.9% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 97.5% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 91.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 58.4% | (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) c) #s(literal -1 binary32)) (neg.f32 c))) | |
| ✓ | 5.2% | (/.f32 #s(literal 1 binary32) c) |
| 96.9% | (*.f32 (/.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta)))) (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta))) | |
| 57.7% | (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (neg.f32 (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (*.f32 cosTheta (neg.f32 cosTheta)))))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) cosTheta))) | |
| 95.3% | (*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32)))) | |
| ▶ | 91.9% | (*.f32 cosTheta (sqrt.f32 (PI.f32))) |
Compiled 1 995 to 1 078 computations (46% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (fma.f32 c (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c))) #s(literal 1 binary32))) |
| ✓ | cost-diff | 64 | (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c))) |
| ✓ | cost-diff | 256 | (fma.f32 c (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c))) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) |
| ✓ | cost-diff | 0 | (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) |
| ✓ | cost-diff | 704 | (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) cosTheta)) |
| ✓ | cost-diff | 0 | (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
| ✓ | cost-diff | 0 | (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta) |
| ✓ | cost-diff | 352 | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta)) |
| ✓ | cost-diff | 0 | (PI.f32) |
| ✓ | cost-diff | 0 | (sqrt.f32 (PI.f32)) |
| ✓ | cost-diff | 0 | (*.f32 cosTheta (sqrt.f32 (PI.f32))) |
| ✓ | cost-diff | 0 | (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
| ✓ | cost-diff | 0 | (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) |
| ✓ | cost-diff | 352 | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
| 12 674× | accelerator-lowering-fma.f32 |
| 12 674× | accelerator-lowering-fma.f64 |
| 4 238× | *-lowering-*.f32 |
| 4 238× | *-lowering-*.f64 |
| 3 418× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 626 |
| 1 | 175 | 624 |
| 2 | 495 | 615 |
| 3 | 1654 | 595 |
| 4 | 6552 | 595 |
| 0 | 8217 | 531 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta))) |
1 |
(/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta)) |
(+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)))) |
(+ (* c (* c c)) 1) |
c |
(* c c) |
cosTheta |
(* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1))) |
(+ (* c (+ c -1)) 1) |
(+ c -1) |
-1 |
(* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)) |
(sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) |
(/ (- (- 1 cosTheta) cosTheta) (PI)) |
(- (- 1 cosTheta) cosTheta) |
(- 1 cosTheta) |
(PI) |
(+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1) |
(* cosTheta cosTheta) |
(+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1) |
(+ (* (* cosTheta cosTheta) -1/6) 1/2) |
-1/6 |
1/2 |
(* (+ (* c (+ c -1)) 1) cosTheta) |
(* cosTheta (sqrt (PI))) |
cosTheta |
(sqrt (PI)) |
(PI) |
(/ 1 (/ (+ (* (+ (* cosTheta (+ (* cosTheta -3/2) -1)) 1) (sqrt (/ 1 (PI)))) cosTheta) cosTheta)) |
1 |
(/ (+ (* (+ (* cosTheta (+ (* cosTheta -3/2) -1)) 1) (sqrt (/ 1 (PI)))) cosTheta) cosTheta) |
(+ (* (+ (* cosTheta (+ (* cosTheta -3/2) -1)) 1) (sqrt (/ 1 (PI)))) cosTheta) |
(+ (* cosTheta (+ (* cosTheta -3/2) -1)) 1) |
cosTheta |
(+ (* cosTheta -3/2) -1) |
-3/2 |
-1 |
(sqrt (/ 1 (PI))) |
(/ 1 (PI)) |
(PI) |
(/ (/ 1 (+ (* cosTheta (+ c (/ (+ (* cosTheta -3/2) -1) (sqrt (PI))))) (+ cosTheta (/ 1 (sqrt (PI)))))) (/ 1 cosTheta)) |
(/ 1 (+ (* cosTheta (+ c (/ (+ (* cosTheta -3/2) -1) (sqrt (PI))))) (+ cosTheta (/ 1 (sqrt (PI)))))) |
1 |
(+ (* cosTheta (+ c (/ (+ (* cosTheta -3/2) -1) (sqrt (PI))))) (+ cosTheta (/ 1 (sqrt (PI))))) |
cosTheta |
(+ c (/ (+ (* cosTheta -3/2) -1) (sqrt (PI)))) |
c |
(/ (+ (* cosTheta -3/2) -1) (sqrt (PI))) |
(+ (* cosTheta -3/2) -1) |
-3/2 |
-1 |
(sqrt (PI)) |
(PI) |
(+ cosTheta (/ 1 (sqrt (PI)))) |
(/ 1 (sqrt (PI))) |
(/ 1 cosTheta) |
(/ 1 (+ (* c (* (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (/ (exp (* cosTheta (neg cosTheta))) (* cosTheta c)))) 1)) |
1 |
(+ (* c (* (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (/ (exp (* cosTheta (neg cosTheta))) (* cosTheta c)))) 1) |
c |
(* (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (/ (exp (* cosTheta (neg cosTheta))) (* cosTheta c))) |
(sqrt (/ (+ (* cosTheta -2) 1) (PI))) |
(/ (+ (* cosTheta -2) 1) (PI)) |
(+ (* cosTheta -2) 1) |
cosTheta |
-2 |
(PI) |
(/ (exp (* cosTheta (neg cosTheta))) (* cosTheta c)) |
(exp (* cosTheta (neg cosTheta))) |
(* cosTheta (neg cosTheta)) |
(neg cosTheta) |
(* cosTheta c) |
| Outputs |
|---|
(/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 c c (-.f32 #s(literal 1 binary32) c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (fma.f32 (*.f32 c c) (*.f32 c cosTheta) cosTheta))) |
1 |
#s(literal 1 binary32) |
(/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta)) |
(/.f32 (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 c c (-.f32 #s(literal 1 binary32) c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (fma.f32 (*.f32 c c) (*.f32 c cosTheta) cosTheta)) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta)) |
(+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)))) |
(fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 c c (-.f32 #s(literal 1 binary32) c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (fma.f32 (*.f32 c c) (*.f32 c cosTheta) cosTheta)) |
(+ (* c (* c c)) 1) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
c |
(* c c) |
(*.f32 c c) |
cosTheta |
(* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1))) |
(*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 c c (-.f32 #s(literal 1 binary32) c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) |
(+ (* c (+ c -1)) 1) |
(fma.f32 c c (-.f32 #s(literal 1 binary32) c)) |
(+ c -1) |
(+.f32 c #s(literal -1 binary32)) |
-1 |
#s(literal -1 binary32) |
(* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)) |
(*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) |
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) |
(/ (- (- 1 cosTheta) cosTheta) (PI)) |
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) |
(- (- 1 cosTheta) cosTheta) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
(- 1 cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
(PI) |
(PI.f32) |
(+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1) |
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
(+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1) |
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) |
(+ (* (* cosTheta cosTheta) -1/6) 1/2) |
(fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) |
-1/6 |
#s(literal -1/6 binary32) |
1/2 |
#s(literal 1/2 binary32) |
(* (+ (* c (+ c -1)) 1) cosTheta) |
(fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
cosTheta |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(/ 1 (/ (+ (* (+ (* cosTheta (+ (* cosTheta -3/2) -1)) 1) (sqrt (/ 1 (PI)))) cosTheta) cosTheta)) |
(/.f32 cosTheta (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
1 |
#s(literal 1 binary32) |
(/ (+ (* (+ (* cosTheta (+ (* cosTheta -3/2) -1)) 1) (sqrt (/ 1 (PI)))) cosTheta) cosTheta) |
(/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta) |
(+ (* (+ (* cosTheta (+ (* cosTheta -3/2) -1)) 1) (sqrt (/ 1 (PI)))) cosTheta) |
(fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(+ (* cosTheta (+ (* cosTheta -3/2) -1)) 1) |
(fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) |
cosTheta |
(+ (* cosTheta -3/2) -1) |
(fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) |
-3/2 |
#s(literal -3/2 binary32) |
-1 |
#s(literal -1 binary32) |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(/ 1 (PI)) |
(/.f32 #s(literal 1 binary32) (PI.f32)) |
(PI) |
(PI.f32) |
(/ (/ 1 (+ (* cosTheta (+ c (/ (+ (* cosTheta -3/2) -1) (sqrt (PI))))) (+ cosTheta (/ 1 (sqrt (PI)))))) (/ 1 cosTheta)) |
(/.f32 cosTheta (fma.f32 cosTheta (+.f32 (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) |
(/ 1 (+ (* cosTheta (+ c (/ (+ (* cosTheta -3/2) -1) (sqrt (PI))))) (+ cosTheta (/ 1 (sqrt (PI)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) |
1 |
#s(literal 1 binary32) |
(+ (* cosTheta (+ c (/ (+ (* cosTheta -3/2) -1) (sqrt (PI))))) (+ cosTheta (/ 1 (sqrt (PI))))) |
(fma.f32 cosTheta (+.f32 (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) |
cosTheta |
(+ c (/ (+ (* cosTheta -3/2) -1) (sqrt (PI)))) |
(+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) |
c |
(/ (+ (* cosTheta -3/2) -1) (sqrt (PI))) |
(/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) |
(+ (* cosTheta -3/2) -1) |
(fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) |
-3/2 |
#s(literal -3/2 binary32) |
-1 |
#s(literal -1 binary32) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(+ cosTheta (/ 1 (sqrt (PI)))) |
(+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) |
(/ 1 (sqrt (PI))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
(/ 1 cosTheta) |
(/.f32 #s(literal 1 binary32) cosTheta) |
(/ 1 (+ (* c (* (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (/ (exp (* cosTheta (neg cosTheta))) (* cosTheta c)))) 1)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
1 |
#s(literal 1 binary32) |
(+ (* c (* (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (/ (exp (* cosTheta (neg cosTheta))) (* cosTheta c)))) 1) |
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) |
c |
(* (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (/ (exp (* cosTheta (neg cosTheta))) (* cosTheta c))) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 c cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(sqrt (/ (+ (* cosTheta -2) 1) (PI))) |
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) |
(/ (+ (* cosTheta -2) 1) (PI)) |
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) |
(+ (* cosTheta -2) 1) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
cosTheta |
-2 |
#s(literal -2 binary32) |
(PI) |
(PI.f32) |
(/ (exp (* cosTheta (neg cosTheta))) (* cosTheta c)) |
(/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (*.f32 c cosTheta)) |
(exp (* cosTheta (neg cosTheta))) |
(exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) |
(* cosTheta (neg cosTheta)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(neg cosTheta) |
(neg.f32 cosTheta) |
(* cosTheta c) |
(*.f32 c cosTheta) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.9% | (/.f32 #s(literal 1 binary32) (fma.f32 c (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c))) #s(literal 1 binary32))) |
| ✓ | accuracy | 98.8% | (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c))) |
| ✓ | accuracy | 97.6% | (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) |
| ✓ | accuracy | 61.0% | (fma.f32 c (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c))) #s(literal 1 binary32)) |
| ✓ | accuracy | 98.5% | (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) cosTheta)) |
| ✓ | accuracy | 97.4% | (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) |
| ✓ | accuracy | 97.3% | (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) |
| ✓ | accuracy | 96.9% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
| ✓ | accuracy | 99.7% | (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
| ✓ | accuracy | 98.9% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta)) |
| ✓ | accuracy | 98.2% | (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta) |
| ✓ | accuracy | 96.9% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
| ✓ | accuracy | 100.0% | (sqrt.f32 (PI.f32)) |
| ✓ | accuracy | 100.0% | (PI.f32) |
| ✓ | accuracy | 98.8% | (*.f32 cosTheta (sqrt.f32 (PI.f32))) |
| ✓ | accuracy | 99.6% | (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))) |
| ✓ | accuracy | 98.9% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
| ✓ | accuracy | 98.3% | (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) |
| ✓ | accuracy | 97.6% | (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) |
| 174.0ms | 256× | 0 | valid |
Compiled 571 to 69 computations (87.9% saved)
ival-mult: 52.0ms (46.7% of total)ival-add: 21.0ms (18.9% of total)ival-div: 20.0ms (18% of total)ival-sqrt: 7.0ms (6.3% of total)const: 4.0ms (3.6% of total)ival-exp: 2.0ms (1.8% of total)ival-sub: 2.0ms (1.8% of total)ival-pi: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta)))> |
#<alt (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta))> |
#<alt (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1))))> |
#<alt (+ (* c (* c c)) 1)> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (sqrt (PI))> |
#<alt (PI)> |
#<alt (/ 1 (/ (+ (* (+ (* cosTheta (+ (* cosTheta -3/2) -1)) 1) (sqrt (/ 1 (PI)))) cosTheta) cosTheta))> |
#<alt (/ (+ (* (+ (* cosTheta (+ (* cosTheta -3/2) -1)) 1) (sqrt (/ 1 (PI)))) cosTheta) cosTheta)> |
#<alt (+ (* (+ (* cosTheta (+ (* cosTheta -3/2) -1)) 1) (sqrt (/ 1 (PI)))) cosTheta)> |
#<alt (+ (* cosTheta (+ (* cosTheta -3/2) -1)) 1)> |
#<alt (/ (/ 1 (+ (* cosTheta (+ c (/ (+ (* cosTheta -3/2) -1) (sqrt (PI))))) (+ cosTheta (/ 1 (sqrt (PI)))))) (/ 1 cosTheta))> |
#<alt (/ 1 (+ (* cosTheta (+ c (/ (+ (* cosTheta -3/2) -1) (sqrt (PI))))) (+ cosTheta (/ 1 (sqrt (PI))))))> |
#<alt (+ (* cosTheta (+ c (/ (+ (* cosTheta -3/2) -1) (sqrt (PI))))) (+ cosTheta (/ 1 (sqrt (PI)))))> |
#<alt (+ c (/ (+ (* cosTheta -3/2) -1) (sqrt (PI))))> |
#<alt (+ (* c (* (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (/ (exp (* cosTheta (neg cosTheta))) (* cosTheta c)))) 1)> |
#<alt (* (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (/ (exp (* cosTheta (neg cosTheta))) (* cosTheta c)))> |
#<alt (/ 1 (+ (* c (* (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (/ (exp (* cosTheta (neg cosTheta))) (* cosTheta c)))) 1))> |
#<alt (sqrt (/ (+ (* cosTheta -2) 1) (PI)))> |
#<alt (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))> |
#<alt (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)))> |
#<alt (sqrt (/ 1 (PI)))> |
#<alt (/ 1 (sqrt (PI)))> |
#<alt (/ (+ (* cosTheta -3/2) -1) (sqrt (PI)))> |
| Outputs |
|---|
#<alt (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))> |
#<alt (+ (* c (- (* -1 (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))) (* -1 (* (/ (* cosTheta (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (pow (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))))> |
#<alt (+ (* c (- (+ (* -1 (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))) (* c (- (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ (* (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (- (* -1 (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))) (* -1 (* (/ (* cosTheta (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (pow (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))))) (* (/ (* cosTheta (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (pow (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) (* -1 (* (/ (* cosTheta (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (pow (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))))> |
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#<alt (* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))> |
#<alt (* -1 (* cosTheta (+ (* 3/2 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))> |
#<alt (* -1 (* cosTheta (+ (* 3/2 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))> |
#<alt (* -1 (* cosTheta (+ (* 3/2 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | cosTheta | @ | -inf | (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1))) |
| 10.0ms | cosTheta | @ | inf | (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta)) |
| 8.0ms | cosTheta | @ | -inf | (/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta))) |
| 6.0ms | cosTheta | @ | inf | (/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta))) |
| 4.0ms | c | @ | inf | (/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta))) |
| 1× | batch-egg-rewrite |
| 4 656× | *-lowering-*.f32 |
| 4 656× | *-lowering-*.f64 |
| 4 324× | accelerator-lowering-fma.f32 |
| 4 324× | accelerator-lowering-fma.f64 |
| 2 488× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 436 |
| 1 | 463 | 417 |
| 2 | 4317 | 410 |
| 0 | 8142 | 364 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta))) |
(/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta)) |
(+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1)))) |
(+ (* c (* c c)) 1) |
(* cosTheta (sqrt (PI))) |
(sqrt (PI)) |
(PI) |
(/ 1 (/ (+ (* (+ (* cosTheta (+ (* cosTheta -3/2) -1)) 1) (sqrt (/ 1 (PI)))) cosTheta) cosTheta)) |
(/ (+ (* (+ (* cosTheta (+ (* cosTheta -3/2) -1)) 1) (sqrt (/ 1 (PI)))) cosTheta) cosTheta) |
(+ (* (+ (* cosTheta (+ (* cosTheta -3/2) -1)) 1) (sqrt (/ 1 (PI)))) cosTheta) |
(+ (* cosTheta (+ (* cosTheta -3/2) -1)) 1) |
(/ (/ 1 (+ (* cosTheta (+ c (/ (+ (* cosTheta -3/2) -1) (sqrt (PI))))) (+ cosTheta (/ 1 (sqrt (PI)))))) (/ 1 cosTheta)) |
(/ 1 (+ (* cosTheta (+ c (/ (+ (* cosTheta -3/2) -1) (sqrt (PI))))) (+ cosTheta (/ 1 (sqrt (PI)))))) |
(+ (* cosTheta (+ c (/ (+ (* cosTheta -3/2) -1) (sqrt (PI))))) (+ cosTheta (/ 1 (sqrt (PI))))) |
(+ c (/ (+ (* cosTheta -3/2) -1) (sqrt (PI)))) |
(+ (* c (* (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (/ (exp (* cosTheta (neg cosTheta))) (* cosTheta c)))) 1) |
(* (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (/ (exp (* cosTheta (neg cosTheta))) (* cosTheta c))) |
(/ 1 (+ (* c (* (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (/ (exp (* cosTheta (neg cosTheta))) (* cosTheta c)))) 1)) |
(sqrt (/ (+ (* cosTheta -2) 1) (PI))) |
(sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) |
(* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) (+ (* (* cosTheta cosTheta) -1/6) 1/2)) -1)) 1))) |
(sqrt (/ 1 (PI))) |
(/ 1 (sqrt (PI))) |
(/ (+ (* cosTheta -3/2) -1) (sqrt (PI))) |
| Outputs |
|---|
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32)) |
(pow.f32 (pow.f32 (/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta)) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta))) #s(literal -1/2 binary32)) |
(pow.f32 (exp.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta)))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta))) |
(/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (neg.f32 cosTheta)))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) |
(/.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (neg.f32 cosTheta)) (neg.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta))) |
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta)) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) |
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))))) |
(*.f32 cosTheta (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (neg.f32 cosTheta))))) |
(*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 cosTheta (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))))) |
(*.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))))) |
(*.f32 (/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) #s(literal 1 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta)) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta)) #s(literal 1 binary32)) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))))) |
(*.f32 (pow.f32 (/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) #s(literal 1/2 binary32))) |
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(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) cosTheta) |
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(pow.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal -1 binary32)) |
(pow.f32 (neg.f32 (neg.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal -1/2 binary32)) |
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(/.f32 #s(literal -1 binary32) (neg.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) |
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) |
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(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))) (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))) (*.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (fma.f32 cosTheta (*.f32 (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))))) (*.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (-.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))))))) |
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(+.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) |
(+.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) |
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(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 cosTheta (*.f32 (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))))) (*.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (-.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))))))) (fma.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))) (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))) (*.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (neg.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (neg.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))))) |
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta)) |
(fma.f32 c cosTheta (fma.f32 cosTheta (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) |
(fma.f32 cosTheta #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))))) |
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(fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) |
(fma.f32 #s(literal -1 binary32) (neg.f32 cosTheta) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))))) |
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta)) |
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) cosTheta)) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))))) |
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(fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta)) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta)) |
(fma.f32 (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) |
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(/.f32 (*.f32 (fma.f32 (*.f32 c (*.f32 c c)) (*.f32 (*.f32 (+.f32 c #s(literal -1 binary32)) (+.f32 c #s(literal -1 binary32))) (+.f32 c #s(literal -1 binary32))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)))) (fma.f32 c (*.f32 (+.f32 c #s(literal -1 binary32)) (fma.f32 c c (neg.f32 c))) (-.f32 #s(literal 1 binary32) (fma.f32 c c (neg.f32 c))))) |
(/.f32 (*.f32 (fma.f32 (*.f32 c c) (*.f32 (+.f32 c #s(literal -1 binary32)) (+.f32 c #s(literal -1 binary32))) #s(literal -1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal -1 binary32))) |
(*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) |
(*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32)))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) |
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (PI.f32)))) |
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal -1/2 binary32))) |
(pow.f32 (PI.f32) #s(literal -1/2 binary32)) |
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/2 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) |
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) |
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/4 binary32)) |
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) |
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 1/4 binary32)) |
(pow.f32 (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) #s(literal 2 binary32)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (PI.f32)))) |
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (PI.f32)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (PI.f32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal -1/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal -1 binary32))) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) (pow.f32 (PI.f32) #s(literal -1/4 binary32))) |
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1/2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (cbrt.f32 (PI.f32)) #s(literal 1 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal -1/3 binary32)) #s(literal 1/2 binary32))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) |
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (PI.f32)))) |
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal -1/2 binary32))) |
(pow.f32 (PI.f32) #s(literal -1/2 binary32)) |
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/2 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) |
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) |
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/4 binary32)) |
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) |
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 1/4 binary32)) |
(pow.f32 (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) #s(literal 2 binary32)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (PI.f32)))) |
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (PI.f32)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (PI.f32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal -1/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal -1 binary32))) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) (pow.f32 (PI.f32) #s(literal -1/4 binary32))) |
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1/2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (cbrt.f32 (PI.f32)) #s(literal 1 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal -1/3 binary32)) #s(literal 1/2 binary32))) |
(neg.f32 (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (PI.f32))))) |
(neg.f32 (/.f32 (neg.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) (sqrt.f32 (PI.f32)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))))) |
(/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) |
(/.f32 (neg.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) (neg.f32 (sqrt.f32 (PI.f32)))) |
(/.f32 (fma.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) #s(literal -27/8 binary32) #s(literal -1 binary32)) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 9/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 3/2 binary32)))))) |
(/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 9/4 binary32) #s(literal -1 binary32)) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (fma.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) #s(literal -27/8 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 9/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 3/2 binary32)))) (sqrt.f32 (PI.f32)))) |
(/.f32 (*.f32 (fma.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) #s(literal -27/8 binary32) #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 9/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 3/2 binary32)))) (neg.f32 (sqrt.f32 (PI.f32))))) |
(/.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 9/4 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) |
(/.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 9/4 binary32) #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 (PI.f32))))) |
(/.f32 (*.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32))))) |
(/.f32 (*.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (PI.f32)))) |
(/.f32 (*.f32 (fma.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) #s(literal -27/8 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 9/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 3/2 binary32))))) |
(/.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 9/4 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal 1 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) |
(*.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal -1 binary32))) |
(*.f32 (neg.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (PI.f32))))) |
(*.f32 (*.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) |
(*.f32 (pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) #s(literal -27/8 binary32) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 9/4 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 3/2 binary32)))))) |
(*.f32 (pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 9/4 binary32) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal 1 binary32)))) |
| 1× | egg-herbie |
| 7 024× | *-lowering-*.f32 |
| 7 024× | *-lowering-*.f64 |
| 6 508× | accelerator-lowering-fma.f32 |
| 6 508× | accelerator-lowering-fma.f64 |
| 3 888× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1581 | 19438 |
| 1 | 5491 | 18836 |
| 0 | 8342 | 17345 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(+ (* c (- (* -1 (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))) (* -1 (* (/ (* cosTheta (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (pow (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))) |
(+ (* c (- (+ (* -1 (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))) (* c (- (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ (* (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (- (* -1 (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))) (* -1 (* (/ (* cosTheta (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (pow (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))))) (* (/ (* cosTheta (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (pow (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) (* -1 (* (/ (* cosTheta (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (pow (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))) |
(+ (* c (- (+ (* -1 (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))) (* c (- (+ (* -1 (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ (* (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (- (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ (* (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (- (* -1 (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))) (* -1 (* (/ (* cosTheta (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (pow (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))))) (* (/ (* cosTheta (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (pow (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))))) (+ (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ (* (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (- (* -1 (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))) (* -1 (* (/ (* cosTheta (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (pow (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))) (/ (pow cosTheta 2) (pow (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) 2)))))) (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))) (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ (* (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (- (* -1 (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))) (* -1 (* (/ (* cosTheta (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (pow (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))))) (* (/ (* cosTheta (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (pow (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) (* -1 (* (/ (* cosTheta (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (pow (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c) |
(/ (- (+ 1 (/ 1 (pow c 2))) (+ (* -1 (* (/ (* (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))) c) |
(/ (- (+ 1 (+ (* -1 (/ (+ 1 (+ (* (/ (* (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (* (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (- 1 (+ (* -1 (* (/ (* (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (pow c 3))) (/ 1 (pow c 2)))) (+ (* -1 (* (/ (* (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))) c) |
(/ 1 c) |
(* -1 (/ (- (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (+ (* (/ (* (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* (/ (* (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (* (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (+ 1 (+ (* (/ (* (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) (+ 1 (+ (* (/ (* (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c)) (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (/ (* cosTheta (* (PI) (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))))) (+ 1 (* c (- c 1))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (+ 1 (* c (- c 1))))))) (/ (* (PI) (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3)))) (+ 1 (* c (- c 1)))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (/ (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (+ 1 (* c (- c 1)))))) (+ 1 (* c (- c 1)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))) (+ 1 (* c (- c 1)))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (+ 1 (* c (- c 1))))))) (/ (* (PI) (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3)))) (+ 1 (* c (- c 1)))))))) |
(* -6 (* (sqrt (/ (PI) (pow cosTheta 11))) (/ 1 (sqrt -2)))) |
(/ (+ (* -36 (/ (* (PI) (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))) (* cosTheta (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1))))))) (* -6 (* (sqrt (* cosTheta (PI))) (/ 1 (sqrt -2))))) (pow cosTheta 6)) |
(/ (- (+ (* -6 (* (sqrt (* cosTheta (PI))) (/ 1 (sqrt -2)))) (* -1 (/ (+ (* 36 (/ (* cosTheta (* (PI) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))))))) (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1)))))) (* 216 (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (pow (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) 2) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (- c 1))) 2)))))) (pow cosTheta 4)))) (* 36 (/ (* (PI) (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))) (* cosTheta (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1)))))))) (pow cosTheta 6)) |
(/ (- (+ (* -6 (* (sqrt (* cosTheta (PI))) (/ 1 (sqrt -2)))) (* -1 (/ (+ (* 6 (* (sqrt (* cosTheta (PI))) (/ (* (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) (+ (* 36 (/ (* cosTheta (* (PI) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))))))) (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1)))))) (* 216 (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (pow (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) 2) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (- c 1))) 2))))))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) (+ (* 36 (/ (* cosTheta (* (PI) (+ 1 (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/16 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* -1/96 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 5)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (pow c 3)))))))) (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1)))))) (* 216 (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (* (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))))) (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (- c 1))) 2))))))) (pow cosTheta 6)))) (+ (* 36 (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2))))))) (* (pow cosTheta 3) (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1))))))) (+ (* 36 (/ (* (PI) (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))) (* cosTheta (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1))))))) (* 216 (* (sqrt (/ (pow (PI) 3) (pow cosTheta 5))) (/ (pow (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) 2) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (- c 1))) 2)))))))) (pow cosTheta 6)) |
(* 6 (* (sqrt (/ (PI) (pow cosTheta 11))) (/ (sqrt -1) (sqrt 2)))) |
(/ (+ (* -36 (/ (* (PI) (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))) (* cosTheta (* (pow (sqrt 2) 2) (+ 1 (* c (- c 1))))))) (* 6 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 6)) |
(/ (+ (* -36 (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2))))))) (* (pow cosTheta 3) (* (pow (sqrt 2) 2) (+ 1 (* c (- c 1))))))) (+ (* -36 (/ (* (PI) (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))) (* cosTheta (* (pow (sqrt 2) 2) (+ 1 (* c (- c 1))))))) (+ (* 6 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (* 216 (* (sqrt (/ (pow (PI) 3) (pow cosTheta 5))) (/ (* (sqrt -1) (pow (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 2)) (* (pow (sqrt 2) 3) (pow (+ 1 (* c (- c 1))) 2)))))))) (pow cosTheta 6)) |
(/ (+ (* -36 (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2))))))) (* (pow cosTheta 3) (* (pow (sqrt 2) 2) (+ 1 (* c (- c 1))))))) (+ (* -36 (/ (* (PI) (+ (* -1 (+ 1 (pow c 3))) (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* -1/96 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 5)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))) (* (pow cosTheta 5) (* (pow (sqrt 2) 2) (+ 1 (* c (- c 1))))))) (+ (* -36 (/ (* (PI) (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))) (* cosTheta (* (pow (sqrt 2) 2) (+ 1 (* c (- c 1))))))) (+ (* 6 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (+ (* 6 (* (sqrt (/ (PI) (pow cosTheta 11))) (/ (* (sqrt -1) (* (+ (* -36 (/ (* cosTheta (* (PI) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))))))) (* (pow (sqrt 2) 2) (+ 1 (* c (- c 1)))))) (* 216 (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (* (sqrt -1) (pow (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 2)) (* (pow (sqrt 2) 3) (pow (+ 1 (* c (- c 1))) 2)))))) (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* 216 (* (sqrt (/ (pow (PI) 3) (pow cosTheta 5))) (/ (* (sqrt -1) (pow (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 2)) (* (pow (sqrt 2) 3) (pow (+ 1 (* c (- c 1))) 2))))) (* 216 (* (sqrt (/ (pow (PI) 3) (pow cosTheta 9))) (/ (* (sqrt -1) (* (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))))) (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))) (* (pow (sqrt 2) 3) (pow (+ 1 (* c (- c 1))) 2))))))))))) (pow cosTheta 6)) |
(/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) cosTheta) |
(+ 1 (+ (* c (- (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) cosTheta)))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ (* c (- (+ (* -1 (* c (+ 1 (* -1 (- (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) cosTheta))))))) (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) cosTheta)))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ (* c (- (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* c (- (* c (- (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) cosTheta)) (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (- (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) cosTheta))))))) (+ 1 (* -1 (- (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) cosTheta)))))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) cosTheta)))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
c |
(* c (+ 1 (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (- (+ 1 (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) (+ (* -1 (/ (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 2))) (/ 1 (pow c 2))))) |
(* c (- (+ 1 (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* (pow c 3) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))) (+ (* -1 (/ (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 2))) (+ (* -1 (/ (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 3))) (+ (/ 1 (pow c 2)) (/ 1 (pow c 3))))))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1))))))))) cosTheta) |
(* -1/6 (* (sqrt (/ (pow cosTheta 11) (PI))) (sqrt -2))) |
(* (pow cosTheta 6) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2)))))) |
(* (pow cosTheta 6) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (sqrt -2))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2))))))))) |
(* (pow cosTheta 6) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (sqrt -2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ 1 (sqrt -2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (sqrt -2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2))) (+ (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (sqrt -2)) (+ (/ 1 (* (pow cosTheta 6) (+ 1 (* c (- c 1))))) (/ (pow c 3) (* (pow cosTheta 6) (+ 1 (* c (- c 1))))))))))))))))) |
(* 1/6 (* (sqrt (/ (pow cosTheta 11) (PI))) (* (sqrt -1) (sqrt 2)))) |
(* (pow cosTheta 6) (+ (* -1 (/ (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))) (pow cosTheta 2))) (* 1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(* (pow cosTheta 6) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))))) (pow cosTheta 4))) (+ (* -1 (/ (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))) (pow cosTheta 2))) (* 1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(* (pow cosTheta 6) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))))) (pow cosTheta 4))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (pow c 3)) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* -1/96 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) (pow cosTheta 6))) (+ (* -1 (/ (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))) (pow cosTheta 2))) (* 1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) |
(+ cosTheta (+ (* -1 (* (* c (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(+ cosTheta (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) (* (* c (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(+ cosTheta (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) (* c (+ (* c cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(* (pow c 3) cosTheta) |
(* (pow c 3) (+ cosTheta (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(* (pow c 3) (+ cosTheta (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(* (pow c 3) (+ cosTheta (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (pow c 3)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ cosTheta (pow c 3))))))) |
(* (pow c 3) cosTheta) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (/ (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c))))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c))))) |
(* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3)))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (pow c 3))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))) (pow c 3))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(* -1/6 (* (sqrt (/ (pow cosTheta 13) (PI))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) |
(* (pow cosTheta 7) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))))) |
(* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))))))) |
(* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (+ (/ 1 (pow cosTheta 6)) (/ (pow c 3) (pow cosTheta 6)))))))))))))) |
(* 1/6 (* (sqrt (/ (pow cosTheta 13) (PI))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) |
(* -1 (* (pow cosTheta 7) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))) |
(* -1 (* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))))) |
(* -1 (* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1 (/ (+ 1 (pow c 3)) (pow cosTheta 6))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))))))))) |
1 |
(+ 1 (pow c 3)) |
(+ 1 (pow c 3)) |
(+ 1 (pow c 3)) |
(pow c 3) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(pow c 3) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2)))))) (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (sqrt (/ 1 (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))))))) (* 3/2 (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2)))))) (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI)))) |
(/ (+ (* -2/3 (sqrt (PI))) (* -4/9 (/ (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))) cosTheta))) cosTheta) |
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* 4/9 (sqrt (PI)))) (pow cosTheta 2))) (* -2/3 (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))) cosTheta))) cosTheta) |
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI))))))) (* 2/3 (* (sqrt (PI)) (* (+ 1 (* -1 (sqrt (/ 1 (PI))))) (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* 4/9 (sqrt (PI)))))))) (pow cosTheta 3))) (* -2/3 (sqrt (PI)))) (+ (* 8/27 (* (/ (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2) (pow cosTheta 2)) (sqrt (pow (PI) 3)))) (+ (* 4/9 (* (/ 1 (pow cosTheta 2)) (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))) cosTheta))))) cosTheta) |
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI)))) |
(* -1 (/ (+ (* -4/9 (/ (* (PI) (- (sqrt (/ 1 (PI))) 1)) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -4/9 (* (/ 1 cosTheta) (sqrt (PI)))) (* -8/27 (* (/ (pow (- (sqrt (/ 1 (PI))) 1) 2) cosTheta) (sqrt (pow (PI) 3))))) (* -4/9 (* (PI) (- (sqrt (/ 1 (PI))) 1)))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8/27 (/ (* (PI) (- (sqrt (/ 1 (PI))) 1)) cosTheta)) (* 2/3 (* (/ (* (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (sqrt (pow (PI) 3)) (pow (- (sqrt (/ 1 (PI))) 1) 2)))) (- (sqrt (/ 1 (PI))) 1)) cosTheta) (sqrt (PI))))) (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (sqrt (pow (PI) 3)) (pow (- (sqrt (/ 1 (PI))) 1) 2))))) cosTheta)) (* -4/9 (* (PI) (- (sqrt (/ 1 (PI))) 1)))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta)))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (/ 1 cosTheta))))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (/ 1 cosTheta))))) |
(* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) |
(* -1 (* cosTheta (- (+ (* 3/2 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta)))) |
(* -1 (* cosTheta (+ (* -1 (/ (+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI))))))) |
(* -1 (* cosTheta (+ (* -1 (/ (+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI))))))) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) |
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (/ 1 cosTheta))))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (/ 1 cosTheta))))) |
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (sqrt (/ 1 (PI))) 1) cosTheta)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 1) cosTheta)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 1) cosTheta)))) |
1 |
(+ 1 (* -1 cosTheta)) |
(+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) |
(+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) |
(* -3/2 (pow cosTheta 2)) |
(* -1 (* (pow cosTheta 2) (+ 3/2 (/ 1 cosTheta)))) |
(* (pow cosTheta 2) (- (/ 1 (pow cosTheta 2)) (+ 3/2 (/ 1 cosTheta)))) |
(* (pow cosTheta 2) (- (/ 1 (pow cosTheta 2)) (+ 3/2 (/ 1 cosTheta)))) |
(* -3/2 (pow cosTheta 2)) |
(* -1 (* (pow cosTheta 2) (+ 3/2 (/ 1 cosTheta)))) |
(* (pow cosTheta 2) (- (* -1 (/ (- 1 (/ 1 cosTheta)) cosTheta)) 3/2)) |
(* (pow cosTheta 2) (- (* -1 (/ (- 1 (/ 1 cosTheta)) cosTheta)) 3/2)) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))))))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI)))) |
(/ (+ (* -2/3 (sqrt (PI))) (* -4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))) cosTheta) |
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* 4/9 (sqrt (PI)))) (pow cosTheta 2))) (* -2/3 (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))) cosTheta) |
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) (* 2/3 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* 4/9 (sqrt (PI)))))))) (pow cosTheta 3))) (* -2/3 (sqrt (PI)))) (+ (* 8/27 (* (/ (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2) (pow cosTheta 2)) (sqrt (pow (PI) 3)))) (+ (* 4/9 (* (/ 1 (pow cosTheta 2)) (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))))) cosTheta) |
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI)))) |
(* -1 (/ (+ (* -4/9 (/ (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -4/9 (* (/ 1 cosTheta) (sqrt (PI)))) (* -8/27 (* (/ (pow (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) 2) cosTheta) (sqrt (pow (PI) 3))))) (* -4/9 (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8/27 (/ (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) cosTheta)) (* 2/3 (* (/ (* (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (sqrt (pow (PI) 3)) (pow (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) 2)))) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) cosTheta) (sqrt (PI))))) (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (sqrt (pow (PI) 3)) (pow (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) 2))))) cosTheta)) (* -4/9 (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
(/ cosTheta (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) |
(+ (* -1 (/ (* c (pow cosTheta 2)) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2))) (/ cosTheta (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))))) |
(+ (* c (- (/ (* c (pow cosTheta 3)) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 3)) (/ (pow cosTheta 2) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2)))) (/ cosTheta (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))))) |
(+ (* c (- (* c (- (* -1 (/ (* c (pow cosTheta 4)) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 4))) (* -1 (/ (pow cosTheta 3) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 3))))) (/ (pow cosTheta 2) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2)))) (/ cosTheta (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))) c) |
(/ (- (+ 1 (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) (* (pow c 2) cosTheta))) (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c)))) c) |
(/ (- (+ 1 (* -1 (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2)) (* (pow c 3) (pow cosTheta 2))))) (+ (* -1 (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) (* (pow c 2) cosTheta))) (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))))) c) |
(/ 1 c) |
(* -1 (/ (- (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) (* c cosTheta)) (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2)) (* c (pow cosTheta 2))) (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) cosTheta)) c)) (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) c)) 1) c)) |
(sqrt (PI)) |
(+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))) |
(+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))) |
(+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))))))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))) |
(* -2/3 (* (/ 1 (pow cosTheta 2)) (sqrt (PI)))) |
(/ (+ (* -2/3 (sqrt (PI))) (* -4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))) (pow cosTheta 2)) |
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* 4/9 (sqrt (PI)))) (pow cosTheta 2))) (* -2/3 (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))) (pow cosTheta 2)) |
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) (* 2/3 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* 4/9 (sqrt (PI)))))))) (pow cosTheta 3))) (* -2/3 (sqrt (PI)))) (+ (* 8/27 (* (/ (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2) (pow cosTheta 2)) (sqrt (pow (PI) 3)))) (+ (* 4/9 (* (/ 1 (pow cosTheta 2)) (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))))) (pow cosTheta 2)) |
(* -2/3 (* (/ 1 (pow cosTheta 2)) (sqrt (PI)))) |
(/ (+ (* -2/3 (sqrt (PI))) (* 4/9 (/ (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) cosTheta))) (pow cosTheta 2)) |
(/ (+ (* -1 (/ (- (+ (* 8/27 (* (/ (pow (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) 2) cosTheta) (sqrt (pow (PI) 3)))) (* 4/9 (* (/ 1 cosTheta) (sqrt (PI))))) (* 4/9 (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)))) cosTheta)) (* -2/3 (sqrt (PI)))) (pow cosTheta 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 8/27 (/ (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) cosTheta)) (* 2/3 (* (/ (* (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) 2))) (* 4/9 (sqrt (PI)))) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) cosTheta) (sqrt (PI))))) (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) 2))) (* 4/9 (sqrt (PI))))) cosTheta)) (* 4/9 (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)))) cosTheta)) (* -2/3 (sqrt (PI)))) (pow cosTheta 2)) |
(/ 1 (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) |
(+ (* -1 (/ (* c cosTheta) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2))) (/ 1 (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))))) |
(+ (* c (- (/ (* c (pow cosTheta 2)) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 3)) (/ cosTheta (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2)))) (/ 1 (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))))) |
(+ (* c (- (* c (- (* -1 (/ (* c (pow cosTheta 3)) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 4))) (* -1 (/ (pow cosTheta 2) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 3))))) (/ cosTheta (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2)))) (/ 1 (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))))) |
(/ 1 (* c cosTheta)) |
(/ (+ (* -1 (/ (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) cosTheta) (sqrt (/ 1 (PI)))) (/ 1 cosTheta))) c)) (/ 1 cosTheta)) c) |
(/ (- (+ (/ 1 cosTheta) (/ (* (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) cosTheta) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))) (* (pow c 2) cosTheta))) (+ (* (/ 1 (* c (pow cosTheta 2))) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 (* c cosTheta))))) c) |
(/ (- (+ (* -1 (/ (* (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) cosTheta) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))) (* (pow c 3) (pow cosTheta 2)))) (/ 1 cosTheta)) (+ (* -1 (/ (* (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) cosTheta) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))) (* (pow c 2) cosTheta))) (+ (* (/ 1 (* c (pow cosTheta 2))) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 (* c cosTheta)))))) c) |
(/ 1 (* c cosTheta)) |
(* -1 (/ (- (+ (* (/ 1 (* c (pow cosTheta 2))) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 (* c cosTheta)))) (/ 1 cosTheta)) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) cosTheta) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))) (* c cosTheta)) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) cosTheta) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))) c)) (/ 1 cosTheta)) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) cosTheta) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))) (* c (pow cosTheta 2))) (/ (* (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) cosTheta) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))) cosTheta)) c)) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) cosTheta) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))) c)) (/ 1 cosTheta)) c)) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))))) |
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta))))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta)))))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta)))))) |
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) cosTheta)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (* -1 (+ c (* -1 (sqrt (/ 1 (PI))))))) 1) cosTheta)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (* -1 (+ c (* -1 (sqrt (/ 1 (PI))))))) 1) cosTheta)))) |
(+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) |
(+ cosTheta (+ (sqrt (/ 1 (PI))) (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) |
(+ cosTheta (+ (sqrt (/ 1 (PI))) (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) |
(+ cosTheta (+ (sqrt (/ 1 (PI))) (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) |
(* c cosTheta) |
(* c (+ cosTheta (+ (* (/ 1 c) (sqrt (/ 1 (PI)))) (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c))))) |
(* c (+ cosTheta (+ (* (/ 1 c) (sqrt (/ 1 (PI)))) (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c))))) |
(* c (+ cosTheta (+ (* (/ 1 c) (sqrt (/ 1 (PI)))) (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c))))) |
(* c cosTheta) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) c))))) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) c))))) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) c))))) |
(* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) |
(+ c (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))) |
(+ c (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))) |
(+ c (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))) |
c |
(* c (+ 1 (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))))) |
(* c (+ 1 (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))))) |
(* c (+ 1 (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))))) |
c |
(* -1 (* c (- (* -1 (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI))))) 1))) |
(* -1 (* c (- (* -1 (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI))))) 1))) |
(* -1 (* c (- (* -1 (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI))))) 1))) |
(+ c (* -1 (sqrt (/ 1 (PI))))) |
(+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))) |
(+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))) |
(+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))) |
(* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ c cosTheta)))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ c cosTheta)))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ c cosTheta)))) |
(* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) |
(* -1 (* cosTheta (+ (* -1 (/ (+ c (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI))))))) |
(* -1 (* cosTheta (+ (* -1 (/ (+ c (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI))))))) |
(* -1 (* cosTheta (+ (* -1 (/ (+ c (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI))))))) |
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))))))) cosTheta) |
(+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(+ 1 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
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(+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) |
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(+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(/ (+ (* -1 (* (/ cosTheta c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI))))) |
(+ (* 1/2 (* (/ (exp (* -1 (pow cosTheta 2))) (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) |
(+ (* -1/8 (* (/ (exp (* -1 (pow cosTheta 2))) (* c (pow (sqrt -2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/2 (* (/ (exp (* -1 (pow cosTheta 2))) (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI))))))) |
(+ (* -1/8 (* (/ (exp (* -1 (pow cosTheta 2))) (* c (pow (sqrt -2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/16 (* (/ (exp (* -1 (pow cosTheta 2))) (* c (pow (sqrt -2) 5))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* 1/2 (* (/ (exp (* -1 (pow cosTheta 2))) (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))) |
(* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI)))))) |
(+ (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI)))))) (* -1/2 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* c (sqrt 2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI))))))) |
(+ (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* c (sqrt 2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* 1/8 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* c (pow (sqrt 2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))))) |
(+ (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* c (sqrt 2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* -1/16 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* c (pow (sqrt 2) 5))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (* 1/8 (* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* c (pow (sqrt 2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI))))))))) |
(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (* -1 (sqrt (/ 1 (PI))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2))))) (/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2))))))) (* (sqrt -2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2)))))))) |
(/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
(- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3)))))))) (* (sqrt 2) (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3))))))))) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) |
(+ (* -1 (* (* c (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) |
(+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) (* (* c (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) |
(+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) (* (* c (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) |
(* (* (pow c 2) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (pow c 2) (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(* (pow c 2) (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(* (pow c 2) (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(* (* (pow c 2) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (pow c 2) (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))) |
(+ (* -1 (* (* cosTheta (+ 1 (* c (- c 1)))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(* -1/6 (* (sqrt (/ (pow cosTheta 13) (PI))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) |
(* (pow cosTheta 7) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))))) |
(* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))))))) |
(* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))))))))))) |
(* 1/6 (* (sqrt (/ (pow cosTheta 13) (PI))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) |
(* -1 (* (pow cosTheta 7) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))) |
(* -1 (* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))))) |
(* -1 (* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))))))))) |
(* -1 (sqrt (/ 1 (PI)))) |
(+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))) |
(+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))) |
(+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))) |
(* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) |
(* -1 (* cosTheta (+ (* 3/2 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(* -1 (* cosTheta (+ (* 3/2 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(* -1 (* cosTheta (+ (* 3/2 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
| Outputs |
|---|
(/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) |
(+ (* c (- (* -1 (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))) (* -1 (* (/ (* cosTheta (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (pow (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))))) |
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(neg.f32 (/.f32 (+.f32 (/.f32 (neg.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta c))) (-.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) #s(literal 1 binary32))) (*.f32 cosTheta c)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) #s(literal 1 binary32)))) c)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) #s(literal 1 binary32)))) c) #s(literal -1 binary32)) c)) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (/ (* cosTheta (* (PI) (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))))) (+ 1 (* c (- c 1))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (*.f32 (neg.f32 (PI.f32)) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 c c)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (+ 1 (* c (- c 1))))))) (/ (* (PI) (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3)))) (+ 1 (* c (- c 1)))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (neg.f32 (fma.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 c c)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 c c))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -3/2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (*.f32 (neg.f32 (PI.f32)) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 c c)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (/ (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (+ 1 (* c (- c 1)))))) (+ 1 (* c (- c 1)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))) (+ 1 (* c (- c 1)))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (+ 1 (* c (- c 1))))))) (/ (* (PI) (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3)))) (+ 1 (* c (- c 1)))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (fma.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 c c)))) (fma.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 c c)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 c c))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -3/2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32))) (fma.f32 (PI.f32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 c c)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -3/2 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))))) (neg.f32 cosTheta) (neg.f32 (fma.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 c c)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 c c))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -3/2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) (*.f32 (neg.f32 (PI.f32)) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 c c)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (PI.f32)))) |
(* -6 (* (sqrt (/ (PI) (pow cosTheta 11))) (/ 1 (sqrt -2)))) |
(*.f32 #s(literal -6 binary32) (/.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 11 binary32)))) (sqrt.f32 #s(literal -2 binary32)))) |
(/ (+ (* -36 (/ (* (PI) (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))) (* cosTheta (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1))))))) (* -6 (* (sqrt (* cosTheta (PI))) (/ 1 (sqrt -2))))) (pow cosTheta 6)) |
(/.f32 (fma.f32 #s(literal -36 binary32) (/.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 #s(literal -1/12 binary32) (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))))))) (*.f32 (*.f32 cosTheta #s(literal -2 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 #s(literal -6 binary32) (/.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -2 binary32))))) (pow.f32 cosTheta #s(literal 6 binary32))) |
(/ (- (+ (* -6 (* (sqrt (* cosTheta (PI))) (/ 1 (sqrt -2)))) (* -1 (/ (+ (* 36 (/ (* cosTheta (* (PI) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))))))) (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1)))))) (* 216 (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (pow (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) 2) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (- c 1))) 2)))))) (pow cosTheta 4)))) (* 36 (/ (* (PI) (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))) (* cosTheta (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1)))))))) (pow cosTheta 6)) |
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(+ 1 (+ (* c (- (+ (* -1 (* c (+ 1 (* -1 (- (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) cosTheta))))))) (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) cosTheta)))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta))) (neg.f32 c) (fma.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) cosTheta))) |
(+ 1 (+ (* c (- (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* c (- (* c (- (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) cosTheta)) (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (- (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) cosTheta))))))) (+ 1 (* -1 (- (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) cosTheta)))))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) cosTheta)))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (neg.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) (fma.f32 c (fma.f32 c (-.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta)) (neg.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (fma.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta))))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta))))) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) cosTheta))) |
c |
(* c (+ 1 (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(+.f32 c (*.f32 c (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))) |
(* c (- (+ 1 (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) (+ (* -1 (/ (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 2))) (/ 1 (pow c 2))))) |
(*.f32 c (-.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 cosTheta (*.f32 c c)))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 c c)) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) #s(literal 1 binary32)) (*.f32 c c))))) |
(* c (- (+ 1 (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* (pow c 3) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))) (+ (* -1 (/ (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 2))) (+ (* -1 (/ (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 3))) (+ (/ 1 (pow c 2)) (/ 1 (pow c 3))))))) |
(*.f32 c (-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (neg.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (*.f32 c c)))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (neg.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (*.f32 c (*.f32 c c))))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))))) (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 c c)) (/.f32 #s(literal 1 binary32) (*.f32 c (*.f32 c c)))) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) #s(literal 1 binary32)) (*.f32 c c))))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c)) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1)))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 c (*.f32 c c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (-.f32 (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 c (*.f32 c c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (-.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 c (*.f32 c c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* -1/6 (* (sqrt (/ (pow cosTheta 11) (PI))) (sqrt -2))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 11 binary32)) (PI.f32))))) |
(* (pow cosTheta 6) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2)))))) |
(*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 #s(literal -1/12 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))))))) |
(* (pow cosTheta 6) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (sqrt -2))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2))))))))) |
(*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (fma.f32 (sqrt.f32 #s(literal -2 binary32)) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (fma.f32 #s(literal -1/12 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 #s(literal 1/48 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))))))))) |
(* (pow cosTheta 6) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (sqrt -2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ 1 (sqrt -2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (sqrt -2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2))) (+ (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (sqrt -2)) (+ (/ 1 (* (pow cosTheta 6) (+ 1 (* c (- c 1))))) (/ (pow c 3) (* (pow cosTheta 6) (+ 1 (* c (- c 1))))))))))))))))) |
(*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (fma.f32 (sqrt.f32 #s(literal -2 binary32)) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 11 binary32))))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (fma.f32 #s(literal -1/12 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 #s(literal -1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 #s(literal -1/96 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (fma.f32 #s(literal 1/48 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (+.f32 (fma.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 13 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))))) (/.f32 (*.f32 c (*.f32 c c)) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))))))))))))))) |
(* 1/6 (* (sqrt (/ (pow cosTheta 11) (PI))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 11 binary32)) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
(* (pow cosTheta 6) (+ (* -1 (/ (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))) (pow cosTheta 2))) (* 1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (fma.f32 (*.f32 #s(literal -1/12 binary32) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 cosTheta cosTheta)))) |
(* (pow cosTheta 6) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))))) (pow cosTheta 4))) (+ (* -1 (/ (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))) (pow cosTheta 2))) (* 1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (-.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (fma.f32 (*.f32 #s(literal -1/12 binary32) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 cosTheta cosTheta))) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (pow.f32 cosTheta #s(literal 4 binary32))))) |
(* (pow cosTheta 6) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))))) (pow cosTheta 4))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (pow c 3)) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* -1/96 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) (pow cosTheta 6))) (+ (* -1 (/ (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))) (pow cosTheta 2))) (* 1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (-.f32 (-.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (fma.f32 (*.f32 #s(literal -1/12 binary32) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 cosTheta cosTheta))) (/.f32 (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal -1/96 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))))) (/.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (pow.f32 cosTheta #s(literal 4 binary32))))) |
(+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) |
(+ cosTheta (+ (* -1 (* (* c (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(+.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (neg.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) c)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(+ cosTheta (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) (* (* c (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(+.f32 cosTheta (fma.f32 c (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) c) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(+ cosTheta (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) (* c (+ (* c cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(+.f32 cosTheta (fma.f32 c (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta c)))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(* (pow c 3) cosTheta) |
(*.f32 cosTheta (*.f32 c (*.f32 c c))) |
(* (pow c 3) (+ cosTheta (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(*.f32 (*.f32 c (*.f32 c c)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) c) cosTheta)) |
(* (pow c 3) (+ cosTheta (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(*.f32 (*.f32 c (*.f32 c c)) (+.f32 cosTheta (fma.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c c)) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) c)))) |
(* (pow c 3) (+ cosTheta (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (pow c 3)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ cosTheta (pow c 3))))))) |
(*.f32 (*.f32 c (*.f32 c c)) (+.f32 (-.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c c)))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) c) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c))) (/.f32 cosTheta (*.f32 c (*.f32 c c))))))) |
(* (pow c 3) cosTheta) |
(*.f32 cosTheta (*.f32 c (*.f32 c c))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) |
(*.f32 (neg.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) c) cosTheta)) (neg.f32 (*.f32 c (*.f32 c c)))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (/ (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c))))) |
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(* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))) |
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(* -1/6 (* (sqrt (/ (pow cosTheta 13) (PI))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) |
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(* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))))))) |
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(* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (+ (/ 1 (pow cosTheta 6)) (/ (pow c 3) (pow cosTheta 6)))))))))))))) |
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(* 1/6 (* (sqrt (/ (pow cosTheta 13) (PI))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) |
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(* -1 (* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))))) |
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(* -1 (* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1 (/ (+ 1 (pow c 3)) (pow cosTheta 6))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))))))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))) (-.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 11 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 #s(literal -1/16 binary32) (*.f32 (/.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))) (fma.f32 #s(literal -1/96 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (fma.f32 #s(literal 1/48 binary32) (*.f32 (/.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 13 binary32)))))))))))))) (/.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))))) (neg.f32 (pow.f32 cosTheta #s(literal 7 binary32)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (pow c 3)) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(+ 1 (pow c 3)) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(+ 1 (pow c 3)) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(pow c 3) |
(*.f32 c (*.f32 c c)) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(pow c 3) |
(*.f32 c (*.f32 c c)) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(*.f32 cosTheta (fma.f32 (neg.f32 (*.f32 cosTheta (PI.f32))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2)))))) (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (neg.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -3/2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (sqrt (/ 1 (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))))))) (* 3/2 (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2)))))) (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (fma.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3/2 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -3/2 binary32)))) (neg.f32 (sqrt.f32 (PI.f32))))) (neg.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -3/2 binary32))))) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI)))) |
(*.f32 #s(literal -2/3 binary32) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/ (+ (* -2/3 (sqrt (PI))) (* -4/9 (/ (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))) cosTheta))) cosTheta) |
(/.f32 (fma.f32 #s(literal -4/9 binary32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -2/3 binary32))) cosTheta) |
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* 4/9 (sqrt (PI)))) (pow cosTheta 2))) (* -2/3 (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))) cosTheta))) cosTheta) |
(/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 8/27 binary32) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 4/9 binary32))) (*.f32 cosTheta cosTheta))) (fma.f32 #s(literal -4/9 binary32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -2/3 binary32)))) cosTheta) |
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI))))))) (* 2/3 (* (sqrt (PI)) (* (+ 1 (* -1 (sqrt (/ 1 (PI))))) (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* 4/9 (sqrt (PI)))))))) (pow cosTheta 3))) (* -2/3 (sqrt (PI)))) (+ (* 8/27 (* (/ (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2) (pow cosTheta 2)) (sqrt (pow (PI) 3)))) (+ (* 4/9 (* (/ 1 (pow cosTheta 2)) (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))) cosTheta))))) cosTheta) |
(/.f32 (-.f32 (-.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal -2/3 binary32)) (/.f32 (fma.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2/3 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 (*.f32 #s(literal 8/27 binary32) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 4/9 binary32)))) (*.f32 (*.f32 #s(literal 8/27 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (fma.f32 #s(literal 8/27 binary32) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 cosTheta cosTheta))) (*.f32 #s(literal 4/9 binary32) (+.f32 (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))))) cosTheta) |
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI)))) |
(*.f32 #s(literal -2/3 binary32) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(* -1 (/ (+ (* -4/9 (/ (* (PI) (- (sqrt (/ 1 (PI))) 1)) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (PI.f32)) #s(literal 2/3 binary32) (/.f32 (*.f32 (*.f32 #s(literal -4/9 binary32) (PI.f32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32))) cosTheta)) cosTheta)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -4/9 (* (/ 1 cosTheta) (sqrt (PI)))) (* -8/27 (* (/ (pow (- (sqrt (/ 1 (PI))) 1) 2) cosTheta) (sqrt (pow (PI) 3))))) (* -4/9 (* (PI) (- (sqrt (/ 1 (PI))) 1)))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
(neg.f32 (/.f32 (-.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2/3 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal -4/9 binary32) (fma.f32 #s(literal -8/27 binary32) (/.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) cosTheta) (*.f32 (*.f32 #s(literal -4/9 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)) cosTheta)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8/27 (/ (* (PI) (- (sqrt (/ 1 (PI))) 1)) cosTheta)) (* 2/3 (* (/ (* (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (sqrt (pow (PI) 3)) (pow (- (sqrt (/ 1 (PI))) 1) 2)))) (- (sqrt (/ 1 (PI))) 1)) cosTheta) (sqrt (PI))))) (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (sqrt (pow (PI) 3)) (pow (- (sqrt (/ 1 (PI))) 1) 2))))) cosTheta)) (* -4/9 (* (PI) (- (sqrt (/ 1 (PI))) 1)))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (PI.f32)) #s(literal 2/3 binary32) (/.f32 (neg.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32))) cosTheta) #s(literal -8/27 binary32) (fma.f32 #s(literal 2/3 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -8/27 binary32) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -4/9 binary32))) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)) cosTheta))) (neg.f32 (fma.f32 (*.f32 #s(literal -8/27 binary32) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -4/9 binary32)))))) cosTheta)) (*.f32 (*.f32 #s(literal -4/9 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)) cosTheta)) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) |
(*.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta)))) |
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (/ 1 cosTheta))))) |
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (/ 1 cosTheta))))) |
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) |
(*.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* -1 (* cosTheta (- (+ (* 3/2 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta)))) |
(*.f32 (neg.f32 cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 3/2 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) cosTheta)))) |
(* -1 (* cosTheta (+ (* -1 (/ (+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI))))))) |
(*.f32 (neg.f32 cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (/.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(* -1 (* cosTheta (+ (* -1 (/ (+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI))))))) |
(*.f32 (neg.f32 cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (/.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) |
(fma.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) |
(fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) |
(fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))) |
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta)))) |
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (/ 1 cosTheta))))) |
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (/ 1 cosTheta))))) |
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))) |
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (sqrt (/ 1 (PI))) 1) cosTheta)))) |
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 1) cosTheta)))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (+.f32 (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) #s(literal -1 binary32)) cosTheta))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 1) cosTheta)))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (+.f32 (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) #s(literal -1 binary32)) cosTheta))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 cosTheta)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
(+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) |
(fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) |
(+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) |
(fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) |
(* -3/2 (pow cosTheta 2)) |
(*.f32 (*.f32 cosTheta cosTheta) #s(literal -3/2 binary32)) |
(* -1 (* (pow cosTheta 2) (+ 3/2 (/ 1 cosTheta)))) |
(*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 3/2 binary32)))) |
(* (pow cosTheta 2) (- (/ 1 (pow cosTheta 2)) (+ 3/2 (/ 1 cosTheta)))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 3/2 binary32)))) |
(* (pow cosTheta 2) (- (/ 1 (pow cosTheta 2)) (+ 3/2 (/ 1 cosTheta)))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 3/2 binary32)))) |
(* -3/2 (pow cosTheta 2)) |
(*.f32 (*.f32 cosTheta cosTheta) #s(literal -3/2 binary32)) |
(* -1 (* (pow cosTheta 2) (+ 3/2 (/ 1 cosTheta)))) |
(*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 3/2 binary32)))) |
(* (pow cosTheta 2) (- (* -1 (/ (- 1 (/ 1 cosTheta)) cosTheta)) 3/2)) |
(*.f32 (*.f32 cosTheta cosTheta) (+.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #s(literal -3/2 binary32))) |
(* (pow cosTheta 2) (- (* -1 (/ (- 1 (/ 1 cosTheta)) cosTheta)) 3/2)) |
(*.f32 (*.f32 cosTheta cosTheta) (+.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #s(literal -3/2 binary32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (fma.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -3/2 binary32))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))))))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (fma.f32 (neg.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (fma.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -3/2 binary32))) (*.f32 (*.f32 #s(literal 3/2 binary32) (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (neg.f32 (fma.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -3/2 binary32))))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI)))) |
(*.f32 #s(literal -2/3 binary32) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/ (+ (* -2/3 (sqrt (PI))) (* -4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))) cosTheta) |
(/.f32 (fma.f32 #s(literal -4/9 binary32) (/.f32 (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -2/3 binary32))) cosTheta) |
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* 4/9 (sqrt (PI)))) (pow cosTheta 2))) (* -2/3 (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))) cosTheta) |
(/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 8/27 binary32) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 4/9 binary32))) (*.f32 cosTheta cosTheta))) (fma.f32 #s(literal -4/9 binary32) (/.f32 (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -2/3 binary32)))) cosTheta) |
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) (* 2/3 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* 4/9 (sqrt (PI)))))))) (pow cosTheta 3))) (* -2/3 (sqrt (PI)))) (+ (* 8/27 (* (/ (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2) (pow cosTheta 2)) (sqrt (pow (PI) 3)))) (+ (* 4/9 (* (/ 1 (pow cosTheta 2)) (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))))) cosTheta) |
(/.f32 (-.f32 (-.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal -2/3 binary32)) (/.f32 (fma.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (fma.f32 (*.f32 #s(literal 8/27 binary32) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 4/9 binary32)))) (*.f32 (*.f32 #s(literal 8/27 binary32) (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (fma.f32 #s(literal 8/27 binary32) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 cosTheta cosTheta))) (*.f32 #s(literal 4/9 binary32) (+.f32 (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))))) cosTheta) |
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI)))) |
(*.f32 #s(literal -2/3 binary32) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(* -1 (/ (+ (* -4/9 (/ (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (PI.f32)) #s(literal 2/3 binary32) (/.f32 (*.f32 #s(literal -4/9 binary32) (*.f32 (PI.f32) (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)))) cosTheta)) cosTheta)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -4/9 (* (/ 1 cosTheta) (sqrt (PI)))) (* -8/27 (* (/ (pow (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) 2) cosTheta) (sqrt (pow (PI) 3))))) (* -4/9 (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
(neg.f32 (/.f32 (-.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2/3 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal -4/9 binary32) (fma.f32 #s(literal -8/27 binary32) (/.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)) (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)))) cosTheta) (*.f32 #s(literal 4/9 binary32) (*.f32 (PI.f32) (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)))))) cosTheta)) cosTheta)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8/27 (/ (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) cosTheta)) (* 2/3 (* (/ (* (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (sqrt (pow (PI) 3)) (pow (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) 2)))) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) cosTheta) (sqrt (PI))))) (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (sqrt (pow (PI) 3)) (pow (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) 2))))) cosTheta)) (* -4/9 (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta)) |
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (PI.f32)) #s(literal 2/3 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -8/27 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32))) cosTheta) (fma.f32 #s(literal 2/3 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -8/27 binary32) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)) (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -4/9 binary32))) (/.f32 (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)) cosTheta))) (neg.f32 (fma.f32 (*.f32 #s(literal -8/27 binary32) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)) (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -4/9 binary32)))))) cosTheta)) (*.f32 #s(literal 4/9 binary32) (*.f32 (PI.f32) (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32))))) cosTheta))) cosTheta)) |
(/ cosTheta (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) |
(/.f32 cosTheta (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(+ (* -1 (/ (* c (pow cosTheta 2)) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2))) (/ cosTheta (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))))) |
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(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
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(/ (- (+ 1 (* -1 (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2)) (* (pow c 3) (pow cosTheta 2))))) (+ (* -1 (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) (* (pow c 2) cosTheta))) (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))))) c) |
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(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
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(* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) (* c cosTheta)) (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) c)) 1) c)) |
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(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
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(* -2/3 (* (/ 1 (pow cosTheta 2)) (sqrt (PI)))) |
(*.f32 #s(literal -2/3 binary32) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta cosTheta))) |
(/ (+ (* -2/3 (sqrt (PI))) (* -4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))) (pow cosTheta 2)) |
(/.f32 (fma.f32 #s(literal -4/9 binary32) (/.f32 (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -2/3 binary32))) (*.f32 cosTheta cosTheta)) |
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* 4/9 (sqrt (PI)))) (pow cosTheta 2))) (* -2/3 (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))) (pow cosTheta 2)) |
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(/ (- (+ (* -1 (/ (+ (* 8/27 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) (* 2/3 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* 4/9 (sqrt (PI)))))))) (pow cosTheta 3))) (* -2/3 (sqrt (PI)))) (+ (* 8/27 (* (/ (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2) (pow cosTheta 2)) (sqrt (pow (PI) 3)))) (+ (* 4/9 (* (/ 1 (pow cosTheta 2)) (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))))) (pow cosTheta 2)) |
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(* -2/3 (* (/ 1 (pow cosTheta 2)) (sqrt (PI)))) |
(*.f32 #s(literal -2/3 binary32) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta cosTheta))) |
(/ (+ (* -2/3 (sqrt (PI))) (* 4/9 (/ (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)) cosTheta))) (pow cosTheta 2)) |
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(/ (+ (* -1 (/ (- (+ (* 8/27 (* (/ (pow (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) 2) cosTheta) (sqrt (pow (PI) 3)))) (* 4/9 (* (/ 1 cosTheta) (sqrt (PI))))) (* 4/9 (* (PI) (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1)))) cosTheta)) (* -2/3 (sqrt (PI)))) (pow cosTheta 2)) |
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(/ 1 (* c cosTheta)) |
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) |
(/ (+ (* -1 (/ (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) cosTheta) (sqrt (/ 1 (PI)))) (/ 1 cosTheta))) c)) (/ 1 cosTheta)) c) |
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(/ (- (+ (* -1 (/ (* (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) cosTheta) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))) (* (pow c 3) (pow cosTheta 2)))) (/ 1 cosTheta)) (+ (* -1 (/ (* (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) cosTheta) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))) (* (pow c 2) cosTheta))) (+ (* (/ 1 (* c (pow cosTheta 2))) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 (* c cosTheta)))))) c) |
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(/ 1 (* c cosTheta)) |
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) |
(* -1 (/ (- (+ (* (/ 1 (* c (pow cosTheta 2))) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 (* c cosTheta)))) (/ 1 cosTheta)) c)) |
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(* -1 (/ (- (* -1 (/ (- (/ (* (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) cosTheta) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))) (* c cosTheta)) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) cosTheta) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))) c)) (/ 1 cosTheta)) c)) |
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) 2) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) cosTheta) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))) (* c (pow cosTheta 2))) (/ (* (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) cosTheta) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))) cosTheta)) c)) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) cosTheta) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))) c)) (/ 1 cosTheta)) c)) |
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(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) |
(fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
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(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))))) |
(fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (fma.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))) |
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta))))) |
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (/.f32 c cosTheta)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta)))))) |
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta cosTheta)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta)))))) |
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta cosTheta)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI))))) |
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (* -1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 1) cosTheta)))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (+.f32 (neg.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)) cosTheta))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (* -1 (+ c (* -1 (sqrt (/ 1 (PI))))))) 1) cosTheta)))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (+.f32 (-.f32 (neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)) cosTheta))) |
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (- (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (* -1 (+ c (* -1 (sqrt (/ 1 (PI))))))) 1) cosTheta)))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (+.f32 (-.f32 (neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal -1 binary32)) cosTheta))) |
(+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) |
(fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(+ cosTheta (+ (sqrt (/ 1 (PI))) (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) |
(+.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) (*.f32 cosTheta c)))) |
(+ cosTheta (+ (sqrt (/ 1 (PI))) (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) |
(+.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) (*.f32 cosTheta c)))) |
(+ cosTheta (+ (sqrt (/ 1 (PI))) (+ (* c cosTheta) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI))))))) |
(+.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) (*.f32 cosTheta c)))) |
(* c cosTheta) |
(*.f32 cosTheta c) |
(* c (+ cosTheta (+ (* (/ 1 c) (sqrt (/ 1 (PI)))) (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c))))) |
(*.f32 c (+.f32 (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) c) (/.f32 cosTheta c)))) |
(* c (+ cosTheta (+ (* (/ 1 c) (sqrt (/ 1 (PI)))) (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c))))) |
(*.f32 c (+.f32 (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) c) (/.f32 cosTheta c)))) |
(* c (+ cosTheta (+ (* (/ 1 c) (sqrt (/ 1 (PI)))) (+ (* (/ (* cosTheta (- (* -3/2 cosTheta) 1)) c) (sqrt (/ 1 (PI)))) (/ cosTheta c))))) |
(*.f32 c (+.f32 (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) c) (/.f32 cosTheta c)))) |
(* c cosTheta) |
(*.f32 cosTheta c) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) c))))) |
(*.f32 (-.f32 (neg.f32 cosTheta) (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) c)) (neg.f32 c)) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) c))))) |
(*.f32 (-.f32 (neg.f32 cosTheta) (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) c)) (neg.f32 c)) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ cosTheta (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* -3/2 cosTheta) 1)) (sqrt (/ 1 (PI)))))) c))))) |
(*.f32 (-.f32 (neg.f32 cosTheta) (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) c)) (neg.f32 c)) |
(* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) |
(+ c (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) |
(+ c (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) |
(+ c (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) |
c |
(* c (+ 1 (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))))) |
(*.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) #s(literal 1 binary32))) |
(* c (+ 1 (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))))) |
(*.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) #s(literal 1 binary32))) |
(* c (+ 1 (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))))) |
(*.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) #s(literal 1 binary32))) |
c |
(* -1 (* c (- (* -1 (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI))))) 1))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI))))) 1))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI))))) 1))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c)) #s(literal -1 binary32)) (neg.f32 c)) |
(+ c (* -1 (sqrt (/ 1 (PI))))) |
(-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))) |
(+.f32 c (fma.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))) |
(+.f32 c (fma.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))) |
(+.f32 c (fma.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) |
(*.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ c cosTheta)))) |
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (/.f32 c cosTheta) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ c cosTheta)))) |
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (/.f32 c cosTheta) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ c cosTheta)))) |
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (/.f32 c cosTheta) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) |
(*.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* -1 (* cosTheta (+ (* -1 (/ (+ c (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI))))))) |
(*.f32 (neg.f32 cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (/.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(* -1 (* cosTheta (+ (* -1 (/ (+ c (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI))))))) |
(*.f32 (neg.f32 cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (/.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(* -1 (* cosTheta (+ (* -1 (/ (+ c (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI))))))) |
(*.f32 (neg.f32 cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (/.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32)) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32)) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32)) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32)) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32)) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32)) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32)) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32)) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32)) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32)) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32)) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32)) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (+.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) #s(literal 1 binary32)) |
(+ 1 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))))) |
(+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))))) |
(+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) |
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(+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) |
(/ (+ (* -1 (* (/ cosTheta c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
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(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
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(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
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(* (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)) c) (sqrt (/ 1 (* cosTheta (PI))))) |
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(* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))) c) (sqrt (/ 1 (* cosTheta (PI)))))) |
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(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
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(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
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(/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
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(sqrt (/ 1 (PI))) |
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(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
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(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
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(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
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(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
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(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
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(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
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(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
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(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
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(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
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(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
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(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
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(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
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(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(*.f32 cosTheta (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
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(* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))) |
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(* (pow cosTheta 7) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))))) |
(*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 (*.f32 #s(literal -1/12 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))))))) |
(* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))))))) |
(*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (fma.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32)))) (fma.f32 #s(literal -1/12 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (fma.f32 #s(literal 1/48 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32)))))))))) |
(* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))))))))))) |
(*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (fma.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 11 binary32)))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32)))) (fma.f32 #s(literal -1/12 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (fma.f32 #s(literal -1/16 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))) (fma.f32 #s(literal -1/96 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (fma.f32 #s(literal 1/48 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (fma.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 13 binary32))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32)))))))))))))) |
(* 1/6 (* (sqrt (/ (pow cosTheta 13) (PI))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) |
(*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 13 binary32)) (PI.f32))))) |
(* -1 (* (pow cosTheta 7) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))) |
(neg.f32 (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 (*.f32 #s(literal -1/12 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))))))) |
(* -1 (* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 #s(literal 1/48 binary32) (*.f32 (/.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))))))))) (neg.f32 (pow.f32 cosTheta #s(literal 7 binary32)))) |
(* -1 (* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))))))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 11 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 #s(literal -1/16 binary32) (*.f32 (/.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))) (fma.f32 #s(literal -1/96 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (fma.f32 #s(literal 1/48 binary32) (*.f32 (/.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 13 binary32))))))))))))))) (neg.f32 (pow.f32 cosTheta #s(literal 7 binary32)))) |
(* -1 (sqrt (/ 1 (PI)))) |
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))) |
(fma.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))) |
(fma.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))) |
(fma.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) |
(*.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) |
(*.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* -1 (* cosTheta (+ (* 3/2 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(*.f32 (neg.f32 cosTheta) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 3/2 binary32)))) |
(* -1 (* cosTheta (+ (* 3/2 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(*.f32 (neg.f32 cosTheta) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 3/2 binary32)))) |
(* -1 (* cosTheta (+ (* 3/2 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(*.f32 (neg.f32 cosTheta) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 3/2 binary32)))) |
Compiled 57 662 to 5 688 computations (90.1% saved)
36 alts after pruning (33 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 318 | 15 | 1 333 |
| Fresh | 11 | 18 | 29 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 332 | 36 | 1 368 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.8% | (/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) |
| ▶ | 91.7% | (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)) |
| 95.8% | (/.f32 cosTheta (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) | |
| 97.4% | (/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) | |
| 97.7% | (/.f32 cosTheta (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) | |
| 96.0% | (/.f32 cosTheta (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) | |
| 95.9% | (/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) | |
| 97.4% | (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) | |
| 60.1% | (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) | |
| 59.7% | (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) | |
| ▶ | 58.9% | (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
| ▶ | 53.6% | (/.f32 #s(literal 1 binary32) (fma.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32))) |
| ✓ | 59.6% | (/.f32 #s(literal 1 binary32) (fma.f32 c (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c))) #s(literal 1 binary32))) |
| 95.9% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta)) | |
| ▶ | 96.6% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
| 96.2% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta (-.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta)))) | |
| 89.8% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) | |
| 95.9% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta) cosTheta)) | |
| 91.4% | (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) | |
| 91.5% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) | |
| 95.8% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) | |
| 96.7% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 96.1% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 94.9% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 97.5% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 91.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 60.1% | (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c))) | |
| 58.4% | (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) c) #s(literal -1 binary32)) (neg.f32 c))) | |
| ✓ | 5.2% | (/.f32 #s(literal 1 binary32) c) |
| 97.3% | (*.f32 (/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (*.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (neg.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))))) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (neg.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))))) | |
| 96.7% | (*.f32 (/.f32 cosTheta (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 cosTheta (neg.f32 cosTheta)))) (-.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta)) | |
| 95.3% | (*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32)))) | |
| 95.2% | (*.f32 cosTheta (fma.f32 (neg.f32 (*.f32 cosTheta (PI.f32))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (PI.f32)))) | |
| 91.9% | (*.f32 cosTheta (sqrt.f32 (*.f32 (PI.f32) (log.f32 (E.f32))))) | |
| ✓ | 91.9% | (*.f32 cosTheta (sqrt.f32 (PI.f32))) |
| 90.5% | (exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta))) #s(literal -1 binary32))) |
Compiled 1 929 to 1 071 computations (44.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) |
| ✓ | cost-diff | 0 | (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) |
| ✓ | cost-diff | 352 | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
| ✓ | cost-diff | 0 | (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
| ✓ | cost-diff | 416 | (fma.f32 c (fma.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
| ✓ | cost-diff | 0 | (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (fma.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32))) |
| ✓ | cost-diff | 256 | (fma.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) cosTheta) |
| ✓ | cost-diff | 0 | (PI.f32) |
| ✓ | cost-diff | 0 | (sqrt.f32 (PI.f32)) |
| ✓ | cost-diff | 544 | (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)) |
| ✓ | cost-diff | 0 | (neg.f32 c) |
| ✓ | cost-diff | 0 | (fma.f32 c c (neg.f32 c)) |
| ✓ | cost-diff | 0 | (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) |
| ✓ | cost-diff | 0 | (/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) |
| 13 938× | accelerator-lowering-fma.f32 |
| 13 938× | accelerator-lowering-fma.f64 |
| 3 356× | *-lowering-*.f32 |
| 3 356× | *-lowering-*.f64 |
| 3 070× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 675 |
| 1 | 188 | 663 |
| 2 | 556 | 643 |
| 3 | 2285 | 635 |
| 4 | 5592 | 629 |
| 0 | 8122 | 566 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* cosTheta (+ (* c c) (neg c))) cosTheta) (+ (* (+ (* c (* c c)) 1) cosTheta) (* (sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI))) (* (+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) (+ (* c (+ c -1)) 1))))) |
(+ (* cosTheta (+ (* c c) (neg c))) cosTheta) |
cosTheta |
(+ (* c c) (neg c)) |
c |
(neg c) |
(+ (* (+ (* c (* c c)) 1) cosTheta) (* (sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI))) (* (+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) (+ (* c (+ c -1)) 1)))) |
(+ (* c (* c c)) 1) |
(* c c) |
1 |
(* (sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI))) (* (+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) (+ (* c (+ c -1)) 1))) |
(sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI))) |
(/ (- 1 (+ cosTheta cosTheta)) (PI)) |
(- 1 (+ cosTheta cosTheta)) |
(+ cosTheta cosTheta) |
(PI) |
(* (+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) (+ (* c (+ c -1)) 1)) |
(+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) |
(* cosTheta cosTheta) |
(+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1) |
(* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2)) |
(+ (* (* cosTheta cosTheta) -1/6) 1/2) |
-1/6 |
1/2 |
-1 |
(+ (* c (+ c -1)) 1) |
(+ c -1) |
(/ (sqrt (PI)) (/ 1 cosTheta)) |
(sqrt (PI)) |
(PI) |
(/ 1 cosTheta) |
1 |
cosTheta |
(/ 1 (+ (* c (/ (sqrt (/ 1 (PI))) (* cosTheta c))) 1)) |
1 |
(+ (* c (/ (sqrt (/ 1 (PI))) (* cosTheta c))) 1) |
c |
(/ (sqrt (/ 1 (PI))) (* cosTheta c)) |
(sqrt (/ 1 (PI))) |
(/ 1 (PI)) |
(PI) |
(* cosTheta c) |
cosTheta |
(/ 1 (+ (* c (+ (* (+ (* cosTheta (neg cosTheta)) 1) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)) 1)) |
1 |
(+ (* c (+ (* (+ (* cosTheta (neg cosTheta)) 1) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)) 1) |
c |
(+ (* (+ (* cosTheta (neg cosTheta)) 1) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1) |
(+ (* cosTheta (neg cosTheta)) 1) |
cosTheta |
(neg cosTheta) |
(/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c)) |
(sqrt (/ (+ (* cosTheta -2) 1) (PI))) |
(/ (+ (* cosTheta -2) 1) (PI)) |
(+ (* cosTheta -2) 1) |
-2 |
(PI) |
(* cosTheta c) |
(/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta))) |
1 |
(/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta)) |
(+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1)))) |
(+ (* c (* c c)) 1) |
c |
(* c c) |
cosTheta |
(* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1))) |
(+ (* c (+ c -1)) 1) |
(+ c -1) |
-1 |
(* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1)) |
(sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) |
(/ (- (- 1 cosTheta) cosTheta) (PI)) |
(- (- 1 cosTheta) cosTheta) |
(- 1 cosTheta) |
(PI) |
(+ (* cosTheta (neg cosTheta)) 1) |
(neg cosTheta) |
(* (+ (* c (+ c -1)) 1) cosTheta) |
| Outputs |
|---|
(/ (+ (* cosTheta (+ (* c c) (neg c))) cosTheta) (+ (* (+ (* c (* c c)) 1) cosTheta) (* (sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI))) (* (+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) (+ (* c (+ c -1)) 1))))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 cosTheta (*.f32 cosTheta #s(literal -1/6 binary32)) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (fma.f32 (*.f32 c c) (*.f32 cosTheta c) cosTheta))) |
(+ (* cosTheta (+ (* c c) (neg c))) cosTheta) |
(fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) |
cosTheta |
(+ (* c c) (neg c)) |
(fma.f32 c c (neg.f32 c)) |
c |
(neg c) |
(neg.f32 c) |
(+ (* (+ (* c (* c c)) 1) cosTheta) (* (sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI))) (* (+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) (+ (* c (+ c -1)) 1)))) |
(fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 cosTheta (*.f32 cosTheta #s(literal -1/6 binary32)) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (fma.f32 (*.f32 c c) (*.f32 cosTheta c) cosTheta)) |
(+ (* c (* c c)) 1) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(* c c) |
(*.f32 c c) |
1 |
#s(literal 1 binary32) |
(* (sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI))) (* (+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) (+ (* c (+ c -1)) 1))) |
(*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 cosTheta (*.f32 cosTheta #s(literal -1/6 binary32)) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) |
(sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI))) |
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) |
(/ (- 1 (+ cosTheta cosTheta)) (PI)) |
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) |
(- 1 (+ cosTheta cosTheta)) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
(+ cosTheta cosTheta) |
(+.f32 cosTheta cosTheta) |
(PI) |
(PI.f32) |
(* (+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) (+ (* c (+ c -1)) 1)) |
(*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 cosTheta (*.f32 cosTheta #s(literal -1/6 binary32)) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) |
(+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) |
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 cosTheta (*.f32 cosTheta #s(literal -1/6 binary32)) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
(+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1) |
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 cosTheta (*.f32 cosTheta #s(literal -1/6 binary32)) #s(literal 1/2 binary32))) #s(literal -1 binary32)) |
(* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2)) |
(*.f32 cosTheta (fma.f32 cosTheta (*.f32 cosTheta #s(literal -1/6 binary32)) #s(literal 1/2 binary32))) |
(+ (* (* cosTheta cosTheta) -1/6) 1/2) |
(fma.f32 cosTheta (*.f32 cosTheta #s(literal -1/6 binary32)) #s(literal 1/2 binary32)) |
-1/6 |
#s(literal -1/6 binary32) |
1/2 |
#s(literal 1/2 binary32) |
-1 |
#s(literal -1 binary32) |
(+ (* c (+ c -1)) 1) |
(fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) |
(+ c -1) |
(+.f32 c #s(literal -1 binary32)) |
(/ (sqrt (PI)) (/ 1 cosTheta)) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(/ 1 cosTheta) |
(/.f32 #s(literal 1 binary32) cosTheta) |
1 |
#s(literal 1 binary32) |
cosTheta |
(/ 1 (+ (* c (/ (sqrt (/ 1 (PI))) (* cosTheta c))) 1)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
1 |
#s(literal 1 binary32) |
(+ (* c (/ (sqrt (/ 1 (PI))) (* cosTheta c))) 1) |
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
c |
(/ (sqrt (/ 1 (PI))) (* cosTheta c)) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(/ 1 (PI)) |
(/.f32 #s(literal 1 binary32) (PI.f32)) |
(PI) |
(PI.f32) |
(* cosTheta c) |
(*.f32 cosTheta c) |
cosTheta |
(/ 1 (+ (* c (+ (* (+ (* cosTheta (neg cosTheta)) 1) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)) 1)) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta) (+.f32 c #s(literal 1 binary32)))) |
1 |
#s(literal 1 binary32) |
(+ (* c (+ (* (+ (* cosTheta (neg cosTheta)) 1) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)) 1) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta) (+.f32 c #s(literal 1 binary32))) |
c |
(+ (* (+ (* cosTheta (neg cosTheta)) 1) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 cosTheta c)) #s(literal 1 binary32)) |
(+ (* cosTheta (neg cosTheta)) 1) |
(fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) |
cosTheta |
(neg cosTheta) |
(neg.f32 cosTheta) |
(/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c)) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) |
(sqrt (/ (+ (* cosTheta -2) 1) (PI))) |
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) |
(/ (+ (* cosTheta -2) 1) (PI)) |
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) |
(+ (* cosTheta -2) 1) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
-2 |
#s(literal -2 binary32) |
(PI) |
(PI.f32) |
(* cosTheta c) |
(*.f32 cosTheta c) |
(/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (fma.f32 (*.f32 c c) (*.f32 cosTheta c) cosTheta))) |
1 |
#s(literal 1 binary32) |
(/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta)) |
(/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (fma.f32 (*.f32 c c) (*.f32 cosTheta c) cosTheta)) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta)) |
(+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1)))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (fma.f32 (*.f32 c c) (*.f32 cosTheta c) cosTheta)) |
(+ (* c (* c c)) 1) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
c |
(* c c) |
(*.f32 c c) |
cosTheta |
(* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1))) |
(*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) |
(+ (* c (+ c -1)) 1) |
(fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) |
(+ c -1) |
(+.f32 c #s(literal -1 binary32)) |
-1 |
#s(literal -1 binary32) |
(* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1)) |
(*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) |
(sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) |
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) |
(/ (- (- 1 cosTheta) cosTheta) (PI)) |
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) |
(- (- 1 cosTheta) cosTheta) |
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) |
(- 1 cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
(PI) |
(PI.f32) |
(+ (* cosTheta (neg cosTheta)) 1) |
(fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) |
(neg cosTheta) |
(neg.f32 cosTheta) |
(* (+ (* c (+ c -1)) 1) cosTheta) |
(fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
| ✓ | accuracy | 98.3% | (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) |
| ✓ | accuracy | 97.6% | (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) |
| ✓ | accuracy | 99.0% | (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
| ✓ | accuracy | 97.6% | (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) |
| ✓ | accuracy | 61.0% | (fma.f32 c (fma.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (fma.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32))) |
| ✓ | accuracy | 98.9% | (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) |
| ✓ | accuracy | 96.9% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
| ✓ | accuracy | 61.1% | (fma.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) |
| ✓ | accuracy | 100.0% | (/.f32 #s(literal 1 binary32) cosTheta) |
| ✓ | accuracy | 100.0% | (sqrt.f32 (PI.f32)) |
| ✓ | accuracy | 100.0% | (PI.f32) |
| ✓ | accuracy | 98.4% | (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)) |
| ✓ | accuracy | 99.7% | (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) |
| ✓ | accuracy | 99.5% | (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) |
| ✓ | accuracy | 98.5% | (/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) |
| ✓ | accuracy | 97.6% | (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) |
| 131.0ms | 252× | 0 | valid |
| 3.0ms | 4× | 1 | valid |
Compiled 621 to 70 computations (88.7% saved)
ival-mult: 51.0ms (45.9% of total)ival-div: 22.0ms (19.8% of total)ival-add: 17.0ms (15.3% of total)ival-sqrt: 9.0ms (8.1% of total)const: 4.0ms (3.6% of total)ival-sub: 3.0ms (2.7% of total)ival-neg: 2.0ms (1.8% of total)ival-pi: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ (* cosTheta (+ (* c c) (neg c))) cosTheta) (+ (* (+ (* c (* c c)) 1) cosTheta) (* (sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI))) (* (+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) (+ (* c (+ c -1)) 1)))))> |
#<alt (+ (* cosTheta (+ (* c c) (neg c))) cosTheta)> |
#<alt (+ (* c c) (neg c))> |
#<alt (neg c)> |
#<alt (/ (sqrt (PI)) (/ 1 cosTheta))> |
#<alt (sqrt (PI))> |
#<alt (PI)> |
#<alt (/ 1 cosTheta)> |
#<alt (+ (* c (/ (sqrt (/ 1 (PI))) (* cosTheta c))) 1)> |
#<alt (/ 1 (+ (* c (/ (sqrt (/ 1 (PI))) (* cosTheta c))) 1))> |
#<alt (/ (sqrt (/ 1 (PI))) (* cosTheta c))> |
#<alt (sqrt (/ 1 (PI)))> |
#<alt (+ (* c (+ (* (+ (* cosTheta (neg cosTheta)) 1) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)) 1)> |
#<alt (/ 1 (+ (* c (+ (* (+ (* cosTheta (neg cosTheta)) 1) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)) 1))> |
#<alt (+ (* (+ (* cosTheta (neg cosTheta)) 1) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)> |
#<alt (+ (* cosTheta (neg cosTheta)) 1)> |
#<alt (/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta)))> |
#<alt (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta))> |
#<alt (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1))))> |
#<alt (+ (* c (* c c)) 1)> |
#<alt (sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI)))> |
#<alt (* (sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI))) (* (+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) (+ (* c (+ c -1)) 1)))> |
#<alt (+ (* (+ (* c (* c c)) 1) cosTheta) (* (sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI))) (* (+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) (+ (* c (+ c -1)) 1))))> |
#<alt (sqrt (/ (+ (* cosTheta -2) 1) (PI)))> |
#<alt (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))> |
#<alt (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))> |
#<alt (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1)))> |
| Outputs |
|---|
#<alt (* (/ (* cosTheta (- (+ 1 (pow c 2)) c)) (+ 1 (* c (- c 1)))) (sqrt (PI)))> |
#<alt (* cosTheta (+ (* -1 (/ (* cosTheta (* (PI) (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (- (+ 1 (pow c 2)) c)))) (pow (+ 1 (* c (- c 1))) 2))) (* (sqrt (PI)) (/ (- (+ 1 (pow c 2)) c) (+ 1 (* c (- c 1)))))))> |
#<alt (* cosTheta (+ (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (- (+ 1 (pow c 2)) c)) (pow (+ 1 (* c (- c 1))) 3)))) (/ (* (PI) (* (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2))))) (/ (* (PI) (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2)))) (* (sqrt (PI)) (/ (- (+ 1 (pow c 2)) c) (+ 1 (* c (- c 1)))))))> |
#<alt (* cosTheta (+ (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (/ (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (- (+ 1 (pow c 2)) c)) (pow (+ 1 (* c (- c 1))) 3)))) (/ (* (PI) (* (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2)))) (+ 1 (* c (- c 1)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (* (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 3)))) (/ (* (PI) (* (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (- (+ 1 (pow c 2)) c)) (pow (+ 1 (* c (- c 1))) 3)))) (/ (* (PI) (* (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2))))) (/ (* (PI) (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2)))) (* (sqrt (PI)) (/ (- (+ 1 (pow c 2)) c) (+ 1 (* c (- c 1)))))))> |
#<alt (* -6 (* (sqrt (/ (PI) (pow cosTheta 11))) (/ (- (+ 1 (pow c 2)) c) (* (sqrt -2) (+ 1 (* c (- c 1)))))))> |
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#<alt (/ 1 c)> |
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#<alt (* -1 (* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1 (/ (+ 1 (pow c 3)) (pow cosTheta 6))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))))))))))> |
#<alt (sqrt (/ 1 (PI)))> |
#<alt (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))> |
#<alt (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))> |
#<alt (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))))> |
#<alt (* (sqrt (/ cosTheta (PI))) (sqrt -2))> |
#<alt (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))> |
#<alt (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))> |
#<alt (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))))> |
#<alt (* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2))))> |
#<alt (* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))> |
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#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (* -1 (* (/ cosTheta c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta)> |
#<alt (/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ cosTheta c) (sqrt (/ 1 (PI))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta)> |
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#<alt (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))> |
#<alt (+ (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI))))))> |
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#<alt (* -1 (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI))))))> |
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#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))> |
#<alt (sqrt (/ 1 (PI)))> |
#<alt (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))> |
#<alt (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))> |
#<alt (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))))> |
#<alt (* (sqrt (/ cosTheta (PI))) (sqrt -2))> |
#<alt (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))> |
#<alt (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))> |
#<alt (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))))> |
#<alt (* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2))))> |
#<alt (* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))> |
#<alt (* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))> |
#<alt (* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))))> |
#<alt (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))> |
#<alt (+ (* -1 (* (* c (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))> |
#<alt (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) (* (* c (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))> |
#<alt (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) (* (* c (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))> |
#<alt (* (* (pow c 2) (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))> |
#<alt (* (pow c 2) (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))))> |
#<alt (* (pow c 2) (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))) (* (/ (+ 1 (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))> |
#<alt (* (pow c 2) (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))) (* (/ (+ 1 (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))> |
#<alt (* (* (pow c 2) (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))> |
#<alt (* (pow c 2) (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))))> |
#<alt (* (pow c 2) (+ (* -1 (/ (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))))> |
#<alt (* (pow c 2) (+ (* -1 (/ (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))))> |
#<alt (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))> |
#<alt (+ (* -1 (* (* cosTheta (+ 1 (* c (- c 1)))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))> |
#<alt (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))> |
#<alt (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))> |
#<alt (* -1 (* (sqrt (/ (pow cosTheta 5) (PI))) (* (sqrt -2) (+ 1 (* c (- c 1))))))> |
#<alt (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))))> |
#<alt (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))))))> |
#<alt (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 5)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))))))))> |
#<alt (* (sqrt (/ (pow cosTheta 5) (PI))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))> |
#<alt (* -1 (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))> |
#<alt (* -1 (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))))> |
#<alt (* -1 (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 5)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))))))> |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | cosTheta | @ | -inf | (/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta))) |
| 5.0ms | cosTheta | @ | -inf | (/ (+ (* cosTheta (+ (* c c) (neg c))) cosTheta) (+ (* (+ (* c (* c c)) 1) cosTheta) (* (sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI))) (* (+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) (+ (* c (+ c -1)) 1))))) |
| 4.0ms | cosTheta | @ | inf | (/ 1 (+ (* c (+ (* (+ (* cosTheta (neg cosTheta)) 1) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)) 1)) |
| 4.0ms | cosTheta | @ | inf | (/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta))) |
| 4.0ms | cosTheta | @ | inf | (/ (+ (* cosTheta (+ (* c c) (neg c))) cosTheta) (+ (* (+ (* c (* c c)) 1) cosTheta) (* (sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI))) (* (+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) (+ (* c (+ c -1)) 1))))) |
| 1× | batch-egg-rewrite |
| 5 250× | accelerator-lowering-fma.f32 |
| 5 250× | accelerator-lowering-fma.f64 |
| 4 498× | *-lowering-*.f32 |
| 4 498× | *-lowering-*.f64 |
| 2 194× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 442 |
| 1 | 488 | 420 |
| 2 | 4779 | 358 |
| 0 | 8336 | 324 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* cosTheta (+ (* c c) (neg c))) cosTheta) (+ (* (+ (* c (* c c)) 1) cosTheta) (* (sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI))) (* (+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) (+ (* c (+ c -1)) 1))))) |
(+ (* cosTheta (+ (* c c) (neg c))) cosTheta) |
(+ (* c c) (neg c)) |
(neg c) |
(/ (sqrt (PI)) (/ 1 cosTheta)) |
(sqrt (PI)) |
(PI) |
(/ 1 cosTheta) |
(+ (* c (/ (sqrt (/ 1 (PI))) (* cosTheta c))) 1) |
(/ 1 (+ (* c (/ (sqrt (/ 1 (PI))) (* cosTheta c))) 1)) |
(/ (sqrt (/ 1 (PI))) (* cosTheta c)) |
(sqrt (/ 1 (PI))) |
(+ (* c (+ (* (+ (* cosTheta (neg cosTheta)) 1) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)) 1) |
(/ 1 (+ (* c (+ (* (+ (* cosTheta (neg cosTheta)) 1) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1)) 1)) |
(+ (* (+ (* cosTheta (neg cosTheta)) 1) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c))) 1) |
(+ (* cosTheta (neg cosTheta)) 1) |
(/ 1 (/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta))) |
(/ (+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1)))) (* (+ (* c (+ c -1)) 1) cosTheta)) |
(+ (* (+ (* c (* c c)) 1) cosTheta) (* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1)))) |
(+ (* c (* c c)) 1) |
(sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI))) |
(* (sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI))) (* (+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) (+ (* c (+ c -1)) 1))) |
(+ (* (+ (* c (* c c)) 1) cosTheta) (* (sqrt (/ (- 1 (+ cosTheta cosTheta)) (PI))) (* (+ (* (* cosTheta cosTheta) (+ (* cosTheta (* cosTheta (+ (* (* cosTheta cosTheta) -1/6) 1/2))) -1)) 1) (+ (* c (+ c -1)) 1)))) |
(sqrt (/ (+ (* cosTheta -2) 1) (PI))) |
(/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (* cosTheta c)) |
(sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) |
(* (+ (* c (+ c -1)) 1) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+ (* cosTheta (neg cosTheta)) 1))) |
| Outputs |
|---|
(neg.f32 (/.f32 (fma.f32 cosTheta (fma.f32 c c c) cosTheta) (neg.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (*.f32 c (*.f32 c c)) cosTheta))))) |
(neg.f32 (/.f32 (neg.f32 (fma.f32 cosTheta (fma.f32 c c c) cosTheta)) (fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (*.f32 c (*.f32 c c)) cosTheta)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (*.f32 c (*.f32 c c)) cosTheta)) (fma.f32 cosTheta (fma.f32 c c c) cosTheta))) #s(literal -1 binary32))) |
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(+.f32 (*.f32 (/.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (fma.f32 c c c))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) |
(+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (*.f32 (fma.f32 c c c) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
(+.f32 (*.f32 (fma.f32 c c c) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) |
(+.f32 (*.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) |
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 c c c) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) |
(fma.f32 (fma.f32 c c c) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
(fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) |
(fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) |
(fma.f32 (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 c c c))) |
(fma.f32 (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 c c c) (*.f32 (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) #s(literal 1 binary32))) |
(fma.f32 (/.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) |
(fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta (neg.f32 cosTheta)))) |
(fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta (neg.f32 cosTheta)) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))) |
(/.f32 (*.f32 (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 (fma.f32 c c c) (*.f32 (fma.f32 c c c) (fma.f32 c c c)) #s(literal 1 binary32))) (fma.f32 (fma.f32 c c c) (fma.f32 c c c) (-.f32 #s(literal 1 binary32) (fma.f32 c c c)))) |
(/.f32 (*.f32 (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 (fma.f32 c c c) (fma.f32 c c c) #s(literal -1 binary32))) (+.f32 (fma.f32 c c c) #s(literal -1 binary32))) |
(/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
(/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta) #s(literal -1 binary32))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal -1 binary32))) |
(/.f32 (*.f32 (fma.f32 (fma.f32 c c c) (*.f32 (fma.f32 c c c) (fma.f32 c c c)) #s(literal 1 binary32)) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (fma.f32 (fma.f32 c c c) (fma.f32 c c c) (-.f32 #s(literal 1 binary32) (fma.f32 c c c)))) |
(/.f32 (*.f32 (fma.f32 (fma.f32 c c c) (fma.f32 c c c) #s(literal -1 binary32)) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 (fma.f32 c c c) #s(literal -1 binary32))) |
(*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) |
(*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 c c c)))) |
(*.f32 (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (fma.f32 c c c))) |
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) |
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) |
| 1× | egg-herbie |
| 7 138× | *-lowering-*.f32 |
| 7 138× | *-lowering-*.f64 |
| 5 542× | accelerator-lowering-fma.f32 |
| 5 542× | accelerator-lowering-fma.f64 |
| 4 004× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1701 | 24583 |
| 1 | 6091 | 23943 |
| 0 | 8102 | 22135 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (* cosTheta (- (+ 1 (pow c 2)) c)) (+ 1 (* c (- c 1)))) (sqrt (PI))) |
(* cosTheta (+ (* -1 (/ (* cosTheta (* (PI) (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (- (+ 1 (pow c 2)) c)))) (pow (+ 1 (* c (- c 1))) 2))) (* (sqrt (PI)) (/ (- (+ 1 (pow c 2)) c) (+ 1 (* c (- c 1))))))) |
(* cosTheta (+ (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (- (+ 1 (pow c 2)) c)) (pow (+ 1 (* c (- c 1))) 3)))) (/ (* (PI) (* (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2))))) (/ (* (PI) (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2)))) (* (sqrt (PI)) (/ (- (+ 1 (pow c 2)) c) (+ 1 (* c (- c 1))))))) |
(* cosTheta (+ (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (/ (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (- (+ 1 (pow c 2)) c)) (pow (+ 1 (* c (- c 1))) 3)))) (/ (* (PI) (* (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2)))) (+ 1 (* c (- c 1)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (* (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 3)))) (/ (* (PI) (* (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (- (+ 1 (pow c 2)) c)) (pow (+ 1 (* c (- c 1))) 3)))) (/ (* (PI) (* (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2))))) (/ (* (PI) (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2)))) (* (sqrt (PI)) (/ (- (+ 1 (pow c 2)) c) (+ 1 (* c (- c 1))))))) |
(* -6 (* (sqrt (/ (PI) (pow cosTheta 11))) (/ (- (+ 1 (pow c 2)) c) (* (sqrt -2) (+ 1 (* c (- c 1))))))) |
(/ (+ (* -36 (/ (* (PI) (* (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) (- (+ 1 (pow c 2)) c))) (* cosTheta (* (pow (sqrt -2) 2) (pow (+ 1 (* c (- c 1))) 2))))) (* -6 (* (sqrt (* cosTheta (PI))) (/ (- (+ 1 (pow c 2)) c) (* (sqrt -2) (+ 1 (* c (- c 1)))))))) (pow cosTheta 6)) |
(/ (- (+ (* -6 (* (sqrt (* cosTheta (PI))) (/ (- (+ 1 (pow c 2)) c) (* (sqrt -2) (+ 1 (* c (- c 1))))))) (* -1 (/ (+ (* 36 (/ (* cosTheta (* (PI) (* (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))))) (- (+ 1 (pow c 2)) c)))) (* (pow (sqrt -2) 2) (pow (+ 1 (* c (- c 1))) 2)))) (* 216 (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (* (pow (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) 2) (- (+ 1 (pow c 2)) c)) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (- c 1))) 3)))))) (pow cosTheta 4)))) (* 36 (/ (* (PI) (* (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) (- (+ 1 (pow c 2)) c))) (* cosTheta (* (pow (sqrt -2) 2) (pow (+ 1 (* c (- c 1))) 2)))))) (pow cosTheta 6)) |
(/ (- (+ (* -6 (* (sqrt (* cosTheta (PI))) (/ (- (+ 1 (pow c 2)) c) (* (sqrt -2) (+ 1 (* c (- c 1))))))) (* -1 (/ (+ (* 6 (* (sqrt (* cosTheta (PI))) (/ (* (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) (+ (* 36 (/ (* cosTheta (* (PI) (* (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))))) (- (+ 1 (pow c 2)) c)))) (* (pow (sqrt -2) 2) (pow (+ 1 (* c (- c 1))) 2)))) (* 216 (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (* (pow (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) 2) (- (+ 1 (pow c 2)) c)) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (- c 1))) 3))))))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) (+ (* 36 (/ (* cosTheta (* (PI) (* (+ 1 (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/16 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* -1/96 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 5)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (pow c 3)))))) (- (+ 1 (pow c 2)) c)))) (* (pow (sqrt -2) 2) (pow (+ 1 (* c (- c 1))) 2)))) (* 216 (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (* (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))))) (* (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) (- (+ 1 (pow c 2)) c))) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (- c 1))) 3))))))) (pow cosTheta 6)))) (+ (* 36 (/ (* (PI) (* (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))))) (- (+ 1 (pow c 2)) c))) (* (pow cosTheta 3) (* (pow (sqrt -2) 2) (pow (+ 1 (* c (- c 1))) 2))))) (+ (* 36 (/ (* (PI) (* (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) (- (+ 1 (pow c 2)) c))) (* cosTheta (* (pow (sqrt -2) 2) (pow (+ 1 (* c (- c 1))) 2))))) (* 216 (* (sqrt (/ (pow (PI) 3) (pow cosTheta 5))) (/ (* (pow (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) 2) (- (+ 1 (pow c 2)) c)) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (- c 1))) 3)))))))) (pow cosTheta 6)) |
(* -6 (* (sqrt (/ (PI) (pow cosTheta 11))) (/ (* (sqrt -1) (- (* -1 (- (pow c 2) c)) 1)) (* (sqrt 2) (+ 1 (* c (- c 1))))))) |
(/ (+ (* -6 (* (sqrt (* cosTheta (PI))) (/ (* (sqrt -1) (- (* -1 (- (pow c 2) c)) 1)) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (* 36 (/ (* (PI) (* (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) (- (* -1 (- (pow c 2) c)) 1))) (* cosTheta (* (pow (sqrt 2) 2) (pow (+ 1 (* c (- c 1))) 2)))))) (pow cosTheta 6)) |
(/ (- (+ (* -6 (* (sqrt (* cosTheta (PI))) (/ (* (sqrt -1) (- (* -1 (- (pow c 2) c)) 1)) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (* -1 (/ (+ (* -36 (/ (* cosTheta (* (PI) (* (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))))) (- (* -1 (- (pow c 2) c)) 1)))) (* (pow (sqrt 2) 2) (pow (+ 1 (* c (- c 1))) 2)))) (* 216 (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (* (sqrt -1) (* (pow (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 2) (- (* -1 (- (pow c 2) c)) 1))) (* (pow (sqrt 2) 3) (pow (+ 1 (* c (- c 1))) 3)))))) (pow cosTheta 4)))) (* -36 (/ (* (PI) (* (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) (- (* -1 (- (pow c 2) c)) 1))) (* cosTheta (* (pow (sqrt 2) 2) (pow (+ 1 (* c (- c 1))) 2)))))) (pow cosTheta 6)) |
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(/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
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(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c) |
(/ (- (+ 1 (/ 1 (pow c 2))) (+ (* -1 (* (/ (* (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))) c) |
(/ (- (+ 1 (+ (* -1 (/ (+ 1 (+ (* (/ (* (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (* (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (- 1 (+ (* -1 (* (/ (* (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (pow c 3))) (/ 1 (pow c 2)))) (+ (* -1 (* (/ (* (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))) c) |
(/ 1 c) |
(* -1 (/ (- (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (+ (* (/ (* (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* (/ (* (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (* (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (+ 1 (+ (* (/ (* (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) (+ 1 (+ (* (/ (* (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c)) (+ 1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* cosTheta (- (+ 1 (pow c 2)) c)) |
(* cosTheta (- (+ 1 (pow c 2)) c)) |
(* cosTheta (- (+ 1 (pow c 2)) c)) |
(* cosTheta (- (+ 1 (pow c 2)) c)) |
(* cosTheta (- (+ 1 (pow c 2)) c)) |
(* cosTheta (- (+ 1 (pow c 2)) c)) |
(* cosTheta (- (+ 1 (pow c 2)) c)) |
(* cosTheta (- (+ 1 (pow c 2)) c)) |
(* -1 (* cosTheta (- (* -1 (- (pow c 2) c)) 1))) |
(* -1 (* cosTheta (- (* -1 (- (pow c 2) c)) 1))) |
(* -1 (* cosTheta (- (* -1 (- (pow c 2) c)) 1))) |
(* -1 (* cosTheta (- (* -1 (- (pow c 2) c)) 1))) |
cosTheta |
(+ cosTheta (* -1 (* c cosTheta))) |
(+ cosTheta (* c (+ (* -1 cosTheta) (* c cosTheta)))) |
(+ cosTheta (* c (+ (* -1 cosTheta) (* c cosTheta)))) |
(* (pow c 2) cosTheta) |
(* (pow c 2) (+ cosTheta (* -1 (/ cosTheta c)))) |
(* (pow c 2) (+ cosTheta (+ (* -1 (/ cosTheta c)) (/ cosTheta (pow c 2))))) |
(* (pow c 2) (+ cosTheta (+ (* -1 (/ cosTheta c)) (/ cosTheta (pow c 2))))) |
(* (pow c 2) cosTheta) |
(* (pow c 2) (+ cosTheta (* -1 (/ cosTheta c)))) |
(* (pow c 2) (+ cosTheta (* -1 (/ (+ cosTheta (* -1 (/ cosTheta c))) c)))) |
(* (pow c 2) (+ cosTheta (* -1 (/ (+ cosTheta (* -1 (/ cosTheta c))) c)))) |
(* -1 c) |
(* c (- c 1)) |
(* c (- c 1)) |
(* c (- c 1)) |
(pow c 2) |
(* (pow c 2) (- 1 (/ 1 c))) |
(* (pow c 2) (- 1 (/ 1 c))) |
(* (pow c 2) (- 1 (/ 1 c))) |
(pow c 2) |
(* (pow c 2) (- 1 (/ 1 c))) |
(* (pow c 2) (- 1 (/ 1 c))) |
(* (pow c 2) (- 1 (/ 1 c))) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(/ 1 cosTheta) |
(/ 1 cosTheta) |
(/ 1 cosTheta) |
(/ 1 cosTheta) |
(/ 1 cosTheta) |
(/ 1 cosTheta) |
(/ 1 cosTheta) |
(/ 1 cosTheta) |
(/ 1 cosTheta) |
(/ 1 cosTheta) |
(/ 1 cosTheta) |
(/ 1 cosTheta) |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ cosTheta (sqrt (/ 1 (PI)))) cosTheta) |
(/ (+ cosTheta (sqrt (/ 1 (PI)))) cosTheta) |
(/ (+ cosTheta (sqrt (/ 1 (PI)))) cosTheta) |
1 |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
1 |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(/ 1 (+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(/ 1 (+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(/ 1 (+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(/ 1 (+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(/ 1 (+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(/ 1 (+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(/ 1 (+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(/ 1 (+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(/ 1 (+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(/ 1 (+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(/ 1 (+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(/ 1 (+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (PI))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (sqrt (pow (PI) 3))) (PI))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (pow (PI) 2))) (* -1 (sqrt (pow (PI) 3))))) (PI))))) |
1 |
(+ 1 (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(- (+ 1 (/ 1 (* (pow cosTheta 2) (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(- (+ 1 (+ (* -1 (* (/ 1 (pow cosTheta 3)) (sqrt (/ 1 (pow (PI) 3))))) (/ 1 (* (pow cosTheta 2) (PI))))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
1 |
(+ 1 (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(+ 1 (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 (* (pow cosTheta 2) (PI))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (pow (PI) 3))))) (/ 1 (PI))) cosTheta)) (* -1 (sqrt (/ 1 (PI))))) cosTheta))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(+ 1 (+ c (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
c |
(* c (+ 1 (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* c (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))) (* cosTheta (+ (* c (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))) (* c (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))))) cosTheta) |
(* -1 (* (sqrt (/ (pow cosTheta 3) (PI))) (sqrt -2))) |
(* (pow cosTheta 2) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (/ 1 (pow cosTheta 2)) (/ (* c (+ 1 (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))))) (pow cosTheta 2))))) |
(* (pow cosTheta 2) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (/ 1 (pow cosTheta 2)) (+ (/ (* c (+ 1 (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))))) (pow cosTheta 2)) (/ (* c (+ (* 1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))))) (pow cosTheta 4)))))) |
(* (pow cosTheta 2) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (/ 1 (pow cosTheta 2)) (+ (/ (* c (+ 1 (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))))) (pow cosTheta 2)) (+ (/ (* c (+ (* -1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* -1/16 (* (/ 1 (* c (pow (sqrt -2) 5))) (sqrt (/ (pow cosTheta 5) (PI))))))) (pow cosTheta 6)) (/ (* c (+ (* 1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))))) (pow cosTheta 4))))))) |
(* (sqrt (/ (pow cosTheta 3) (PI))) (* (sqrt -1) (sqrt 2))) |
(* (pow cosTheta 2) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))) (+ (/ 1 (pow cosTheta 2)) (/ (* c (+ 1 (* -1 (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI))))))))) (pow cosTheta 2))))) |
(* (pow cosTheta 2) (+ (* -1 (/ (* c (+ (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))))) (pow cosTheta 4))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))) (+ (/ 1 (pow cosTheta 2)) (/ (* c (+ 1 (* -1 (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI))))))))) (pow cosTheta 2)))))) |
(* (pow cosTheta 2) (+ (* -1 (/ (* c (+ (* -1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* -1/16 (* (/ (sqrt -1) (* c (pow (sqrt 2) 5))) (sqrt (/ (pow cosTheta 5) (PI))))))) (pow cosTheta 6))) (+ (* -1 (/ (* c (+ (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))))) (pow cosTheta 4))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))) (+ (/ 1 (pow cosTheta 2)) (/ (* c (+ 1 (* -1 (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI))))))))) (pow cosTheta 2))))))) |
(/ 1 (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c))) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/ 1 c) |
(* -1 (/ (- (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c)) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) 2))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (* (PI) (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) 2))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))))))) (+ (* -1 (* (* c (* (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (sqrt (pow (PI) 3)))) (* c (* (PI) (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) 2))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (* (PI) (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))))) |
(* -1 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -2)))) |
(/ (+ (* -1 (* (sqrt (* cosTheta (PI))) (/ 1 (sqrt -2)))) (* -1 (/ (* (PI) (+ 1 (* c (+ 1 (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))))))) (* cosTheta (pow (sqrt -2) 2))))) (pow cosTheta 2)) |
(/ (- (+ (* -1 (* (sqrt (* cosTheta (PI))) (/ 1 (sqrt -2)))) (* -1 (/ (+ (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (pow (+ 1 (* c (+ 1 (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI))))))))) 2) (pow (sqrt -2) 3))) (/ (* c (* cosTheta (* (PI) (+ (* 1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))))))) (pow (sqrt -2) 2))) (pow cosTheta 4)))) (/ (* (PI) (+ 1 (* c (+ 1 (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))))))) (* cosTheta (pow (sqrt -2) 2)))) (pow cosTheta 2)) |
(/ (- (+ (* -1 (* (sqrt (* cosTheta (PI))) (/ 1 (sqrt -2)))) (* -1 (/ (+ (* (sqrt (* cosTheta (PI))) (/ (* (+ 1 (* c (+ 1 (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI))))))))) (+ (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (pow (+ 1 (* c (+ 1 (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI))))))))) 2) (pow (sqrt -2) 3))) (/ (* c (* cosTheta (* (PI) (+ (* 1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))))))) (pow (sqrt -2) 2)))) (sqrt -2))) (+ (* (/ (* c (* (+ 1 (* c (+ 1 (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI))))))))) (+ (* 1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI)))))))) (pow (sqrt -2) 3)) (sqrt (* (pow cosTheta 3) (pow (PI) 3)))) (/ (* c (* cosTheta (* (PI) (+ (* -1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* -1/16 (* (/ 1 (* c (pow (sqrt -2) 5))) (sqrt (/ (pow cosTheta 5) (PI))))))))) (pow (sqrt -2) 2)))) (pow cosTheta 6)))) (+ (* (sqrt (/ (pow (PI) 3) (pow cosTheta 5))) (/ (pow (+ 1 (* c (+ 1 (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI))))))))) 2) (pow (sqrt -2) 3))) (+ (/ (* c (* (PI) (+ (* 1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI)))))))) (* (pow cosTheta 3) (pow (sqrt -2) 2))) (/ (* (PI) (+ 1 (* c (+ 1 (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))))))) (* cosTheta (pow (sqrt -2) 2)))))) (pow cosTheta 2)) |
(* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2))) |
(/ (+ (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 2))) (/ (* (PI) (+ 1 (* c (+ 1 (* -1 (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI))))))))))) (* cosTheta (pow (sqrt 2) 2)))) (pow cosTheta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (* (sqrt -1) (pow (+ 1 (* c (+ 1 (* -1 (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))))) 2)) (pow (sqrt 2) 3)))) (/ (* c (* cosTheta (* (PI) (+ (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))))))) (pow (sqrt 2) 2))) (pow cosTheta 4))) (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (* -1 (/ (* (PI) (+ 1 (* c (+ 1 (* -1 (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI))))))))))) (* cosTheta (pow (sqrt 2) 2))))) (pow cosTheta 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (* cosTheta (PI))) (/ (* (sqrt -1) (* (+ 1 (* c (+ 1 (* -1 (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))))) (+ (* -1 (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (* (sqrt -1) (pow (+ 1 (* c (+ 1 (* -1 (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))))) 2)) (pow (sqrt 2) 3)))) (/ (* c (* cosTheta (* (PI) (+ (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))))))) (pow (sqrt 2) 2))))) (sqrt 2)))) (+ (* (/ (* c (* (sqrt -1) (* (+ 1 (* c (+ 1 (* -1 (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))))) (+ (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))))))) (pow (sqrt 2) 3)) (sqrt (* (pow cosTheta 3) (pow (PI) 3)))) (/ (* c (* cosTheta (* (PI) (+ (* -1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* -1/16 (* (/ (sqrt -1) (* c (pow (sqrt 2) 5))) (sqrt (/ (pow cosTheta 5) (PI))))))))) (pow (sqrt 2) 2)))) (pow cosTheta 6))) (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1 (* (sqrt (/ (pow (PI) 3) (pow cosTheta 5))) (/ (* (sqrt -1) (pow (+ 1 (* c (+ 1 (* -1 (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))))))) 2)) (pow (sqrt 2) 3)))) (+ (* -1 (/ (* (PI) (+ 1 (* c (+ 1 (* -1 (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI))))))))))) (* cosTheta (pow (sqrt 2) 2)))) (/ (* c (* (PI) (+ (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI)))))))) (* (pow cosTheta 3) (pow (sqrt 2) 2)))))) (pow cosTheta 2)) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(/ (+ (* cosTheta (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (* cosTheta (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (* cosTheta (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI)))))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(* -1 (* (/ (sqrt -2) c) (sqrt (/ (pow cosTheta 3) (PI))))) |
(* (pow cosTheta 2) (+ (* -1 (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* (/ (sqrt -2) c) (sqrt (/ 1 (* (pow cosTheta 5) (PI))))) (/ 1 (pow cosTheta 2)))))) |
(* (pow cosTheta 2) (+ (* -1 (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* 1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* (/ (sqrt -2) c) (sqrt (/ 1 (* (pow cosTheta 5) (PI))))) (/ 1 (pow cosTheta 2)))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* -1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ 1 (* (pow cosTheta 9) (PI)))))) (+ (* -1/16 (* (/ 1 (* c (pow (sqrt -2) 5))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* 1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* (/ (sqrt -2) c) (sqrt (/ 1 (* (pow cosTheta 5) (PI))))) (/ 1 (pow cosTheta 2)))))))))) |
(* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ (pow cosTheta 3) (PI)))) |
(* (pow cosTheta 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) (pow cosTheta 2))) (+ (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 (pow cosTheta 2))))) |
(* (pow cosTheta 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) (pow cosTheta 2))) (+ (* -1 (/ (+ (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI)))))) (pow cosTheta 4))) (+ (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 (pow cosTheta 2)))))) |
(* (pow cosTheta 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) (pow cosTheta 2))) (+ (* -1 (/ (+ (* -1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* -1/16 (* (/ (sqrt -1) (* c (pow (sqrt 2) 5))) (sqrt (/ (pow cosTheta 5) (PI)))))) (pow cosTheta 6))) (+ (* -1 (/ (+ (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI)))))) (pow cosTheta 4))) (+ (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 (pow cosTheta 2))))))) |
(* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(/ (+ c (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c) |
(/ (+ c (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c) |
(/ (+ c (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c) |
1 |
(+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
1 |
(+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
1 |
(+ 1 (* -1 (pow cosTheta 2))) |
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(* -1 (pow cosTheta 2)) |
(* (pow cosTheta 2) (- (/ 1 (pow cosTheta 2)) 1)) |
(* (pow cosTheta 2) (- (/ 1 (pow cosTheta 2)) 1)) |
(* (pow cosTheta 2) (- (/ 1 (pow cosTheta 2)) 1)) |
(* -1 (pow cosTheta 2)) |
(* (pow cosTheta 2) (- (/ 1 (pow cosTheta 2)) 1)) |
(* (pow cosTheta 2) (- (/ 1 (pow cosTheta 2)) 1)) |
(* (pow cosTheta 2) (- (/ 1 (pow cosTheta 2)) 1)) |
(/ cosTheta (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))) |
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(/ 1 c) |
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(/ 1 c) |
(* -1 (/ (- (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
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(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (/ (* cosTheta (* (PI) (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))))) (+ 1 (* c (- c 1))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (+ 1 (* c (- c 1))))))) (/ (* (PI) (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3)))) (+ 1 (* c (- c 1)))))))) |
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(* -1 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -2)))) |
(/ (+ (* -1 (* (sqrt (* cosTheta (PI))) (/ 1 (sqrt -2)))) (* -1 (/ (* (PI) (+ 1 (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (pow c 3))))) (* cosTheta (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1)))))))) (pow cosTheta 2)) |
(/ (- (+ (* -1 (* (sqrt (* cosTheta (PI))) (/ 1 (sqrt -2)))) (* -1 (/ (+ (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (pow (+ 1 (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (pow c 3)))) 2) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* cosTheta (* (PI) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2))))))) (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1)))))) (pow cosTheta 4)))) (/ (* (PI) (+ 1 (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (pow c 3))))) (* cosTheta (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1))))))) (pow cosTheta 2)) |
(/ (- (+ (* -1 (* (sqrt (* cosTheta (PI))) (/ 1 (sqrt -2)))) (* -1 (/ (+ (* (sqrt (* cosTheta (PI))) (/ (* (+ 1 (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (pow c 3)))) (+ (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (pow (+ 1 (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (pow c 3)))) 2) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* cosTheta (* (PI) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2))))))) (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1))))))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (* (+ 1 (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (pow c 3)))) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))))) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* cosTheta (* (PI) (+ (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 5))))))) (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1))))))) (pow cosTheta 6)))) (+ (* (sqrt (/ (pow (PI) 3) (pow cosTheta 5))) (/ (pow (+ 1 (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (pow c 3)))) 2) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (- c 1))) 2)))) (+ (/ (* (PI) (+ 1 (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (pow c 3))))) (* cosTheta (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1)))))) (/ (* (PI) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))))) (* (pow cosTheta 3) (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1))))))))) (pow cosTheta 2)) |
(* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2))) |
(/ (+ (* -1 (/ (* (PI) (+ (* -1 (+ 1 (pow c 3))) (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))) (* cosTheta (* (pow (sqrt 2) 2) (+ 1 (* c (- c 1))))))) (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (pow cosTheta 2)) |
(/ (+ (* -1 (/ (* (PI) (+ (* -1 (+ 1 (pow c 3))) (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))) (* cosTheta (* (pow (sqrt 2) 2) (+ 1 (* c (- c 1))))))) (+ (* -1 (/ (* (PI) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))))) (* (pow cosTheta 3) (* (pow (sqrt 2) 2) (+ 1 (* c (- c 1))))))) (+ (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 2))) (* (sqrt (/ (pow (PI) 3) (pow cosTheta 5))) (/ (* (sqrt -1) (pow (+ (* -1 (+ 1 (pow c 3))) (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 2)) (* (pow (sqrt 2) 3) (pow (+ 1 (* c (- c 1))) 2))))))) (pow cosTheta 2)) |
(/ (+ (* -1 (/ (* (PI) (+ (* -1 (+ 1 (pow c 3))) (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))) (* cosTheta (* (pow (sqrt 2) 2) (+ 1 (* c (- c 1))))))) (+ (* -1 (/ (* (PI) (+ (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 5)))))) (* (pow cosTheta 5) (* (pow (sqrt 2) 2) (+ 1 (* c (- c 1))))))) (+ (* -1 (/ (* (PI) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))))) (* (pow cosTheta 3) (* (pow (sqrt 2) 2) (+ 1 (* c (- c 1))))))) (+ (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 2))) (+ (* (sqrt (/ (PI) (pow cosTheta 11))) (/ (* (sqrt -1) (* (+ (* -1 (+ 1 (pow c 3))) (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) (+ (* -1 (/ (* cosTheta (* (PI) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2))))))) (* (pow (sqrt 2) 2) (+ 1 (* c (- c 1)))))) (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (* (sqrt -1) (pow (+ (* -1 (+ 1 (pow c 3))) (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 2)) (* (pow (sqrt 2) 3) (pow (+ 1 (* c (- c 1))) 2))))))) (* (sqrt 2) (+ 1 (* c (- c 1)))))) (+ (* (sqrt (/ (pow (PI) 3) (pow cosTheta 5))) (/ (* (sqrt -1) (pow (+ (* -1 (+ 1 (pow c 3))) (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) 2)) (* (pow (sqrt 2) 3) (pow (+ 1 (* c (- c 1))) 2)))) (* (sqrt (/ (pow (PI) 3) (pow cosTheta 9))) (/ (* (sqrt -1) (* (+ (* -1 (+ 1 (pow c 3))) (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2))))))) (* (pow (sqrt 2) 3) (pow (+ 1 (* c (- c 1))) 2)))))))))) (pow cosTheta 2)) |
(/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) cosTheta) |
(+ 1 (+ (* c (- (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) cosTheta)))) (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ (* c (- (+ (* -1 (* c (+ 1 (* -1 (- (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) cosTheta))))))) (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) cosTheta)))) (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ (* c (- (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* c (- (* c (- (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) cosTheta)) (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (- (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) cosTheta))))))) (+ 1 (* -1 (- (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) cosTheta)))))))) (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) cosTheta)))) (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
c |
(* c (+ 1 (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (- (+ 1 (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) (+ (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 2))) (/ 1 (pow c 2))))) |
(* c (- (+ 1 (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow c 3) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))) (+ (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 2))) (+ (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 3))) (+ (/ 1 (pow c 2)) (/ 1 (pow c 3))))))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1))))))))) cosTheta) |
(* -1 (* (sqrt (/ (pow cosTheta 3) (PI))) (sqrt -2))) |
(* (pow cosTheta 2) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (+ (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2)) (+ (/ 1 (* (pow cosTheta 2) (+ 1 (* c (- c 1))))) (/ (pow c 3) (* (pow cosTheta 2) (+ 1 (* c (- c 1)))))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (sqrt -2)))) (+ (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2)) (+ (/ 1 (* (pow cosTheta 2) (+ 1 (* c (- c 1))))) (/ (pow c 3) (* (pow cosTheta 2) (+ 1 (* c (- c 1)))))))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (sqrt -2)))) (+ (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2)) (+ (/ 1 (* (pow cosTheta 2) (+ 1 (* c (- c 1))))) (/ (pow c 3) (* (pow cosTheta 2) (+ 1 (* c (- c 1)))))))))))))) |
(* (sqrt (/ (pow cosTheta 3) (PI))) (* (sqrt -1) (sqrt 2))) |
(* (pow cosTheta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (pow c 3)) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))) (pow cosTheta 2))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))) |
(* (pow cosTheta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (pow c 3)) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))) (pow cosTheta 2))) (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 4))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(* (pow cosTheta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (pow c 3)) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))) (pow cosTheta 2))) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (sqrt -1) (pow (sqrt 2) 5))))) (pow cosTheta 6))) (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 4))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) |
(+ cosTheta (+ (* -1 (* (* c (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))) |
(+ cosTheta (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) (* (* c (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))) |
(+ cosTheta (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) (* c (+ (* c cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))) |
(* (pow c 3) cosTheta) |
(* (pow c 3) (+ cosTheta (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(* (pow c 3) (+ cosTheta (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(* (pow c 3) (+ cosTheta (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (pow c 3)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ cosTheta (pow c 3))))))) |
(* (pow c 3) cosTheta) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (/ (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) c))))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) c))))) |
(* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3)))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (pow c 3))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))) (pow c 3))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(* -1 (* (sqrt (/ (pow cosTheta 5) (PI))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) |
(* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (+ (/ 1 (pow cosTheta 2)) (/ (pow c 3) (pow cosTheta 2))))))) |
(* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (+ (/ 1 (pow cosTheta 2)) (/ (pow c 3) (pow cosTheta 2))))))))) |
(* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 5)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (+ (/ 1 (pow cosTheta 2)) (/ (pow c 3) (pow cosTheta 2))))))))))) |
(* (sqrt (/ (pow cosTheta 5) (PI))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))) |
(* -1 (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1 (/ (+ 1 (pow c 3)) (pow cosTheta 2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))) |
(* -1 (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1 (/ (+ 1 (pow c 3)) (pow cosTheta 2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))))) |
(* -1 (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1 (/ (+ 1 (pow c 3)) (pow cosTheta 2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 5)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))))))) |
1 |
(+ 1 (pow c 3)) |
(+ 1 (pow c 3)) |
(+ 1 (pow c 3)) |
(pow c 3) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(pow c 3) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))) |
(+ (* -1 (* (* cosTheta (+ 1 (* c (- c 1)))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(* -1/6 (* (sqrt (/ (pow cosTheta 13) (PI))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) |
(* (pow cosTheta 7) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))))) |
(* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))))))) |
(* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))))))))))) |
(* 1/6 (* (sqrt (/ (pow cosTheta 13) (PI))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) |
(* -1 (* (pow cosTheta 7) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))) |
(* -1 (* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))))) |
(* -1 (* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))))))))) |
(* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) |
(+ (* -1 (* (* c (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) |
(+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) (* (* c (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) |
(+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) (* (* c (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) |
(* (* (pow c 2) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (pow c 2) (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(* (pow c 2) (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(* (pow c 2) (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(* (* (pow c 2) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (pow c 2) (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) |
(+ cosTheta (+ (* -1 (* (* c (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(+ cosTheta (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) (* (* c (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(+ cosTheta (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) (* c (+ (* c cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(* (pow c 3) cosTheta) |
(* (pow c 3) (+ cosTheta (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(* (pow c 3) (+ cosTheta (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(* (pow c 3) (+ cosTheta (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (pow c 3)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ cosTheta (pow c 3))))))) |
(* (pow c 3) cosTheta) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (/ (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c))))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c))))) |
(* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3)))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (pow c 3))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))) (pow c 3))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(* -1/6 (* (sqrt (/ (pow cosTheta 13) (PI))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) |
(* (pow cosTheta 7) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))))) |
(* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))))))) |
(* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (+ (/ 1 (pow cosTheta 6)) (/ (pow c 3) (pow cosTheta 6)))))))))))))) |
(* 1/6 (* (sqrt (/ (pow cosTheta 13) (PI))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) |
(* -1 (* (pow cosTheta 7) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))) |
(* -1 (* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))))) |
(* -1 (* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1 (/ (+ 1 (pow c 3)) (pow cosTheta 6))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))))))))) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(/ (+ (* -1 (* (/ cosTheta c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ cosTheta c) (sqrt (/ 1 (PI))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ cosTheta c) (sqrt (/ 1 (PI))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI))))) |
(+ (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))) |
(+ (* -1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI))))))) |
(+ (* -1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/16 (* (/ 1 (* c (pow (sqrt -2) 5))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))))) |
(* -1 (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI))))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* -1/16 (* (/ (sqrt -1) (* c (pow (sqrt 2) 5))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI))))))))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))) |
(+ (* -1 (* (* c (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) |
(+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) (* (* c (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) |
(+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) (* (* c (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) |
(* (* (pow c 2) (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (pow c 2) (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))) |
(* (pow c 2) (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))) (* (/ (+ 1 (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(* (pow c 2) (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))) (* (/ (+ 1 (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(* (* (pow c 2) (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (pow c 2) (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))) |
(* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))) |
(+ (* -1 (* (* cosTheta (+ 1 (* c (- c 1)))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(* -1 (* (sqrt (/ (pow cosTheta 5) (PI))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) |
(* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))) |
(* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))))) |
(* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 5)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))))))) |
(* (sqrt (/ (pow cosTheta 5) (PI))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))) |
(* -1 (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))) |
(* -1 (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))) |
(* -1 (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 5)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))))) |
| Outputs |
|---|
(* (/ (* cosTheta (- (+ 1 (pow c 2)) c)) (+ 1 (* c (- c 1)))) (sqrt (PI))) |
(*.f32 (/.f32 (*.f32 cosTheta (-.f32 (fma.f32 c c #s(literal 1 binary32)) c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (* -1 (/ (* cosTheta (* (PI) (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (- (+ 1 (pow c 2)) c)))) (pow (+ 1 (* c (- c 1))) 2))) (* (sqrt (PI)) (/ (- (+ 1 (pow c 2)) c) (+ 1 (* c (- c 1))))))) |
(*.f32 cosTheta (-.f32 (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 (fma.f32 c c #s(literal 1 binary32)) c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 (-.f32 (fma.f32 c c #s(literal 1 binary32)) c) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) |
(* cosTheta (+ (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (- (+ 1 (pow c 2)) c)) (pow (+ 1 (* c (- c 1))) 3)))) (/ (* (PI) (* (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2))))) (/ (* (PI) (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2)))) (* (sqrt (PI)) (/ (- (+ 1 (pow c 2)) c) (+ 1 (* c (- c 1))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (fma.f32 (PI.f32) (/.f32 (*.f32 (-.f32 (fma.f32 c c #s(literal 1 binary32)) c) (*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c))))) (/.f32 (-.f32 (fma.f32 c c #s(literal 1 binary32)) c) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))))) (neg.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (-.f32 (fma.f32 c c #s(literal 1 binary32)) c) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 (fma.f32 c c #s(literal 1 binary32)) c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(* cosTheta (+ (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (/ (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (- (+ 1 (pow c 2)) c)) (pow (+ 1 (* c (- c 1))) 3)))) (/ (* (PI) (* (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2)))) (+ 1 (* c (- c 1)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (* (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 3)))) (/ (* (PI) (* (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (- (+ 1 (pow c 2)) c)) (pow (+ 1 (* c (- c 1))) 3)))) (/ (* (PI) (* (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2))))) (/ (* (PI) (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (- (+ 1 (pow c 2)) c))) (pow (+ 1 (* c (- c 1))) 2)))) (* (sqrt (PI)) (/ (- (+ 1 (pow c 2)) c) (+ 1 (* c (- c 1))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (-.f32 (fma.f32 (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (*.f32 (-.f32 (fma.f32 c c #s(literal 1 binary32)) c) (*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32)))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 (*.f32 (PI.f32) (*.f32 (-.f32 (fma.f32 c c #s(literal 1 binary32)) c) (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (fma.f32 (PI.f32) (/.f32 (*.f32 (-.f32 (fma.f32 c c #s(literal 1 binary32)) c) (*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c))))) (/.f32 (-.f32 (fma.f32 c c #s(literal 1 binary32)) c) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 (PI.f32) (/.f32 (*.f32 (-.f32 (fma.f32 c c #s(literal 1 binary32)) c) (*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c))))) (/.f32 (-.f32 (fma.f32 c c #s(literal 1 binary32)) c) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))))))) (neg.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (-.f32 (fma.f32 c c #s(literal 1 binary32)) c) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 (fma.f32 c c #s(literal 1 binary32)) c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(* -6 (* (sqrt (/ (PI) (pow cosTheta 11))) (/ (- (+ 1 (pow c 2)) c) (* (sqrt -2) (+ 1 (* c (- c 1))))))) |
(*.f32 #s(literal -6 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 11 binary32)))) (-.f32 (fma.f32 c c #s(literal 1 binary32)) c)) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))))) |
(/ (+ (* -36 (/ (* (PI) (* (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) (- (+ 1 (pow c 2)) c))) (* cosTheta (* (pow (sqrt -2) 2) (pow (+ 1 (* c (- c 1))) 2))))) (* -6 (* (sqrt (* cosTheta (PI))) (/ (- (+ 1 (pow c 2)) c) (* (sqrt -2) (+ 1 (* c (- c 1)))))))) (pow cosTheta 6)) |
(/.f32 (fma.f32 #s(literal -36 binary32) (*.f32 (PI.f32) (/.f32 (*.f32 (-.f32 (fma.f32 c c #s(literal 1 binary32)) c) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal -1/12 binary32) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32)))))) (*.f32 (*.f32 cosTheta #s(literal -2 binary32)) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) (*.f32 (*.f32 #s(literal -6 binary32) (sqrt.f32 (*.f32 cosTheta (PI.f32)))) (/.f32 (-.f32 (fma.f32 c c #s(literal 1 binary32)) c) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32)))))) (pow.f32 cosTheta #s(literal 6 binary32))) |
(/ (- (+ (* -6 (* (sqrt (* cosTheta (PI))) (/ (- (+ 1 (pow c 2)) c) (* (sqrt -2) (+ 1 (* c (- c 1))))))) (* -1 (/ (+ (* 36 (/ (* cosTheta (* (PI) (* (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* 1/48 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))))) (- (+ 1 (pow c 2)) c)))) (* (pow (sqrt -2) 2) (pow (+ 1 (* c (- c 1))) 2)))) (* 216 (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (* (pow (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) 2) (- (+ 1 (pow c 2)) c)) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (- c 1))) 3)))))) (pow cosTheta 4)))) (* 36 (/ (* (PI) (* (+ (* -1/12 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))) (- (+ 1 (pow c 2)) c))) (* cosTheta (* (pow (sqrt -2) 2) (pow (+ 1 (* c (- c 1))) 2)))))) (pow cosTheta 6)) |
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1 |
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(/ 1 (+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
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(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (PI))))) |
(*.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (PI.f32) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (sqrt (pow (PI) 3))) (PI))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (neg.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (pow (PI) 2))) (* -1 (sqrt (pow (PI) 3))))) (PI))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (-.f32 (*.f32 (neg.f32 cosTheta) (*.f32 (PI.f32) (PI.f32))) (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (neg.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) |
1 |
#s(literal 1 binary32) |
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(-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta))) |
(- (+ 1 (/ 1 (* (pow cosTheta 2) (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
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1 |
#s(literal 1 binary32) |
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(+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (pow (PI) 3))))) (/ 1 (PI))) cosTheta)) (* -1 (sqrt (/ 1 (PI))))) cosTheta))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
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(+ 1 (+ c (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
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(+ 1 (+ c (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
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c |
(* c (+ 1 (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))) |
(* c (+ 1 (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
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(* c (+ 1 (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
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c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (+.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) c)) #s(literal -1 binary32))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (+.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) c)) #s(literal -1 binary32))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (+.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) c)) #s(literal -1 binary32))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta)) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (fma.f32 c (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* c (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (fma.f32 c (fma.f32 cosTheta (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal -3/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))) (* cosTheta (+ (* c (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))) (* c (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 cosTheta (*.f32 c (fma.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal -3/2 binary32)))) (*.f32 c (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* -1 (* (sqrt (/ (pow cosTheta 3) (PI))) (sqrt -2))) |
(neg.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))))) |
(* (pow cosTheta 2) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (/ 1 (pow cosTheta 2)) (/ (* c (+ 1 (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))))) (pow cosTheta 2))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 c (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 #s(literal -2 binary32))))) (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) c))) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (/ 1 (pow cosTheta 2)) (+ (/ (* c (+ 1 (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))))) (pow cosTheta 2)) (/ (* c (+ (* 1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))))) (pow cosTheta 4)))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (fma.f32 c (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 #s(literal -2 binary32))))) (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32)))) (*.f32 c (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))))) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 #s(literal -2 binary32))))) (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) c)))) (*.f32 cosTheta cosTheta)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (/ 1 (pow cosTheta 2)) (+ (/ (* c (+ 1 (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))))) (pow cosTheta 2)) (+ (/ (* c (+ (* -1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* -1/16 (* (/ 1 (* c (pow (sqrt -2) 5))) (sqrt (/ (pow cosTheta 5) (PI))))))) (pow cosTheta 6)) (/ (* c (+ (* 1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))))) (pow cosTheta 4))))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (+.f32 (fma.f32 c (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 #s(literal -2 binary32))))) (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) c))) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (fma.f32 c (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 #s(literal -2 binary32))))) (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32)))) (*.f32 c (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))))) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 (*.f32 c (fma.f32 (/.f32 (*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32)))) (*.f32 c (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) #s(literal -1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 c (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))))))) (pow.f32 cosTheta #s(literal 6 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))) |
(* (sqrt (/ (pow cosTheta 3) (PI))) (* (sqrt -1) (sqrt 2))) |
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(* (pow cosTheta 2) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))) (+ (/ 1 (pow cosTheta 2)) (/ (* c (+ 1 (* -1 (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI))))))))) (pow cosTheta 2))))) |
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (*.f32 c (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (sqrt.f32 #s(literal 2 binary32)) c))))) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
(* (pow cosTheta 2) (+ (* -1 (/ (* c (+ (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))))) (pow cosTheta 4))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))) (+ (/ 1 (pow cosTheta 2)) (/ (* c (+ 1 (* -1 (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI))))))))) (pow cosTheta 2)))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (*.f32 c (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (sqrt.f32 #s(literal 2 binary32)) c))))) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 (*.f32 c (fma.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 c (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (*.f32 c (sqrt.f32 #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32))))) |
(* (pow cosTheta 2) (+ (* -1 (/ (* c (+ (* -1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* -1/16 (* (/ (sqrt -1) (* c (pow (sqrt 2) 5))) (sqrt (/ (pow cosTheta 5) (PI))))))) (pow cosTheta 6))) (+ (* -1 (/ (* c (+ (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))))) (pow cosTheta 4))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))) (+ (/ 1 (pow cosTheta 2)) (/ (* c (+ 1 (* -1 (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI))))))))) (pow cosTheta 2))))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (-.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (*.f32 c (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (sqrt.f32 #s(literal 2 binary32)) c))))) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 (*.f32 c (fma.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 c (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (*.f32 c (sqrt.f32 #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 (*.f32 c (fma.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (*.f32 c (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 c (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))))))) (pow.f32 cosTheta #s(literal 6 binary32))))) |
(/ 1 (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 c (*.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(fma.f32 c (-.f32 (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(fma.f32 c (fma.f32 c (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 4 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)))) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c))) c) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) c)) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) (*.f32 c c)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 c (*.f32 c c)))) (-.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)) (/.f32 (*.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) (*.f32 c c)))) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* -1 (/ (- (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32))) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c)) |
(neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) c) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) c)) #s(literal -1 binary32)) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c)) |
(neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32)) c) (*.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)))) c)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) c)) #s(literal -1 binary32)) c)) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))))) |
(*.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (*.f32 (PI.f32) (fma.f32 c (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) 2))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (* (PI) (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (fma.f32 (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 c (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)) (fma.f32 c (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))) (*.f32 c (*.f32 (PI.f32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal -3/2 binary32))))) (*.f32 (neg.f32 (PI.f32)) (fma.f32 c (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) 2))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))))))) (+ (* -1 (* (* c (* (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (sqrt (pow (PI) 3)))) (* c (* (PI) (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) 2))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (* (PI) (+ 1 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (-.f32 (-.f32 (*.f32 (*.f32 c (PI.f32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))) (*.f32 c (*.f32 (*.f32 (fma.f32 c (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal -3/2 binary32))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 c (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))) (fma.f32 (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 c (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)) (fma.f32 c (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))) (*.f32 c (*.f32 (PI.f32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal -3/2 binary32))))))) (neg.f32 (fma.f32 (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 c (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)) (fma.f32 c (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))) (*.f32 c (*.f32 (PI.f32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal -3/2 binary32))))))) (neg.f32 (*.f32 (PI.f32) (fma.f32 c (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))) (sqrt.f32 (PI.f32)))) |
(* -1 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -2)))) |
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(/ (+ (* -1 (* (sqrt (* cosTheta (PI))) (/ 1 (sqrt -2)))) (* -1 (/ (* (PI) (+ 1 (* c (+ 1 (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ cosTheta (PI))))) (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))))))) (* cosTheta (pow (sqrt -2) 2))))) (pow cosTheta 2)) |
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#s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (*.f32 cosTheta cosTheta)) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(/ (+ (* cosTheta (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) cosTheta) |
(/ (+ (* cosTheta (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 cosTheta (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal -3/2 binary32)) (neg.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) cosTheta) |
(/ (+ (* cosTheta (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI)))))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 cosTheta (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal -3/2 binary32) (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) cosTheta) |
(* -1 (* (/ (sqrt -2) c) (sqrt (/ (pow cosTheta 3) (PI))))) |
(neg.f32 (*.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) c))) |
(* (pow cosTheta 2) (+ (* -1 (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* (/ (sqrt -2) c) (sqrt (/ 1 (* (pow cosTheta 5) (PI))))) (/ 1 (pow cosTheta 2)))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -2 binary32)) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) c))) |
(* (pow cosTheta 2) (+ (* -1 (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* 1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* (/ (sqrt -2) c) (sqrt (/ 1 (* (pow cosTheta 5) (PI))))) (/ 1 (pow cosTheta 2)))))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 c (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -2 binary32)) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) c))) |
(* (pow cosTheta 2) (+ (* -1 (* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* -1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ 1 (* (pow cosTheta 9) (PI)))))) (+ (* -1/16 (* (/ 1 (* c (pow (sqrt -2) 5))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* 1/8 (* (/ 1 (* c (pow (sqrt -2) 3))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (sqrt -2))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* (/ (sqrt -2) c) (sqrt (/ 1 (* (pow cosTheta 5) (PI))))) (/ 1 (pow cosTheta 2)))))))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))) (fma.f32 #s(literal -1/16 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 c (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -2 binary32)) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) c))) |
(* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ (pow cosTheta 3) (PI)))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (sqrt.f32 #s(literal 2 binary32)) c))) |
(* (pow cosTheta 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) (pow cosTheta 2))) (+ (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 (pow cosTheta 2))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (sqrt.f32 #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (*.f32 c (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (sqrt.f32 #s(literal 2 binary32)) c)))) (*.f32 cosTheta cosTheta)))) |
(* (pow cosTheta 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) (pow cosTheta 2))) (+ (* -1 (/ (+ (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI)))))) (pow cosTheta 4))) (+ (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 (pow cosTheta 2)))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (-.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (sqrt.f32 #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 c (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (*.f32 c (sqrt.f32 #s(literal 2 binary32)))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (*.f32 c (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (sqrt.f32 #s(literal 2 binary32)) c)))) (*.f32 cosTheta cosTheta)))) |
(* (pow cosTheta 2) (+ (* -1 (/ (+ (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI))))) (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) (pow cosTheta 2))) (+ (* -1 (/ (+ (* -1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* -1/16 (* (/ (sqrt -1) (* c (pow (sqrt 2) 5))) (sqrt (/ (pow cosTheta 5) (PI)))))) (pow cosTheta 6))) (+ (* -1 (/ (+ (* 1/8 (* (/ (sqrt -1) (* c (pow (sqrt 2) 3))) (sqrt (/ (pow cosTheta 3) (PI))))) (* 1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ cosTheta (PI)))))) (pow cosTheta 4))) (+ (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 (pow cosTheta 2))))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (-.f32 (-.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (sqrt.f32 #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 c (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (*.f32 c (sqrt.f32 #s(literal 2 binary32)))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (*.f32 c (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 c (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (*.f32 c (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (sqrt.f32 #s(literal 2 binary32)) c)))) (*.f32 cosTheta cosTheta)))) |
(* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
(*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))) |
(/ (+ c (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c) |
(/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) c) c) |
(/ (+ c (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c) |
(/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) c) c) |
(/ (+ c (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c) |
(/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) c) c) |
1 |
#s(literal 1 binary32) |
(+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) #s(literal 1 binary32)) |
(+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) #s(literal 1 binary32)) |
(+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) #s(literal 1 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) #s(literal 1 binary32)) |
(+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) #s(literal 1 binary32)) |
(+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) #s(literal 1 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (pow cosTheta 2))) |
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) |
(+ 1 (* -1 (pow cosTheta 2))) |
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) |
(+ 1 (* -1 (pow cosTheta 2))) |
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
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(* (pow cosTheta 2) (- (/ 1 (pow cosTheta 2)) 1)) |
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(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 c c)) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) cosTheta) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta))))) cosTheta) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta)) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta))) (*.f32 c (*.f32 c c)))) (-.f32 (-.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (*.f32 c c))))) (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (*.f32 cosTheta (*.f32 c c)))))) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* -1 (/ (- (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32))) c)) |
(* -1 (/ (- (* -1 (/ (- (+ (* (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) (*.f32 cosTheta c)) (-.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)))) c)) #s(literal -1 binary32)) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ 1 (+ (* (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) (+ 1 (+ (* (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c)) (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) (*.f32 cosTheta c)) (-.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) cosTheta) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 1 binary32))) (*.f32 cosTheta c)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) cosTheta) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 1 binary32)))) c)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) c)) #s(literal -1 binary32)) c)) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (/ (* cosTheta (* (PI) (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))))) (+ 1 (* c (- c 1))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (+ 1 (* c (- c 1))))))) (/ (* (PI) (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3)))) (+ 1 (* c (- c 1)))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (fma.f32 (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (/ (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (+ 1 (* c (- c 1)))))) (+ 1 (* c (- c 1)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))))) (+ 1 (* c (- c 1)))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3))) 2) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (+ 1 (* c (- c 1))))))) (/ (* (PI) (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3)))) (+ 1 (* c (- c 1)))))))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (-.f32 (fma.f32 (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (/.f32 (*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32)) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 (*.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (fma.f32 (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 (neg.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) (neg.f32 (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (PI.f32)))) |
(* -1 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -2)))) |
(neg.f32 (*.f32 (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) |
(/ (+ (* -1 (* (sqrt (* cosTheta (PI))) (/ 1 (sqrt -2)))) (* -1 (/ (* (PI) (+ 1 (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (pow c 3))))) (* cosTheta (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1)))))))) (pow cosTheta 2)) |
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(/ (- (+ (* -1 (* (sqrt (* cosTheta (PI))) (/ 1 (sqrt -2)))) (* -1 (/ (+ (* (sqrt (* (pow cosTheta 3) (pow (PI) 3))) (/ (pow (+ 1 (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (pow c 3)))) 2) (* (pow (sqrt -2) 3) (pow (+ 1 (* c (- c 1))) 2)))) (/ (* cosTheta (* (PI) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2))))))) (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1)))))) (pow cosTheta 4)))) (/ (* (PI) (+ 1 (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (pow c 3))))) (* cosTheta (* (pow (sqrt -2) 2) (+ 1 (* c (- c 1))))))) (pow cosTheta 2)) |
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(/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) cosTheta) |
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c |
(* c (+ 1 (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))) |
(* c (- (+ 1 (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) (+ (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 2))) (/ 1 (pow c 2))))) |
(*.f32 c (-.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (*.f32 c c))))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 c c)) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (*.f32 c c))))) |
(* c (- (+ 1 (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow c 3) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))) (+ (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 2))) (+ (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 3))) (+ (/ 1 (pow c 2)) (/ 1 (pow c 3))))))) |
(*.f32 c (-.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (*.f32 c c))))) (-.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (*.f32 c (*.f32 c c))))))) (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 c c)) (/.f32 #s(literal 1 binary32) (*.f32 c (*.f32 c c)))) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (*.f32 c c))))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (+.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) c)) #s(literal -1 binary32))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (+.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) c)) #s(literal -1 binary32))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (+.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) c)) #s(literal -1 binary32))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta)) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1)))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 c (*.f32 c c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (-.f32 (+.f32 (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 c (*.f32 c c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))) (+ (/ 1 (+ 1 (* c (- c 1)))) (/ (pow c 3) (+ 1 (* c (- c 1))))))))) cosTheta) |
(/.f32 (fma.f32 cosTheta (-.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (*.f32 c (*.f32 c c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* -1 (* (sqrt (/ (pow cosTheta 3) (PI))) (sqrt -2))) |
(neg.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))))) |
(* (pow cosTheta 2) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (+ (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2)) (+ (/ 1 (* (pow cosTheta 2) (+ 1 (* c (- c 1))))) (/ (pow c 3) (* (pow cosTheta 2) (+ 1 (* c (- c 1)))))))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (+.f32 (fma.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))) (/.f32 (*.f32 c (*.f32 c c)) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (sqrt -2)))) (+ (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2)) (+ (/ 1 (* (pow cosTheta 2) (+ 1 (* c (- c 1))))) (/ (pow c 3) (* (pow cosTheta 2) (+ 1 (* c (- c 1)))))))))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (sqrt.f32 #s(literal -2 binary32))) #s(literal -1/2 binary32)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (+.f32 (fma.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))) (/.f32 (*.f32 c (*.f32 c c)) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (sqrt -2)))) (+ (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (sqrt -2)) (+ (/ 1 (* (pow cosTheta 2) (+ 1 (* c (- c 1))))) (/ (pow c 3) (* (pow cosTheta 2) (+ 1 (* c (- c 1)))))))))))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32))))) (sqrt.f32 #s(literal -2 binary32))) #s(literal -1/2 binary32)) (fma.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (sqrt.f32 #s(literal -2 binary32))) #s(literal -1/2 binary32)) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (+.f32 (fma.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))) (/.f32 (*.f32 c (*.f32 c c)) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))))))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))) |
(* (sqrt (/ (pow cosTheta 3) (PI))) (* (sqrt -1) (sqrt 2))) |
(*.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) |
(* (pow cosTheta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (pow c 3)) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))) (pow cosTheta 2))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (/.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 cosTheta cosTheta)))) |
(* (pow cosTheta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (pow c 3)) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))) (pow cosTheta 2))) (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 4))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (/.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 cosTheta cosTheta)))) |
(* (pow cosTheta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (pow c 3)) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))) (pow cosTheta 2))) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (sqrt -1) (pow (sqrt 2) 5))))) (pow cosTheta 6))) (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (sqrt -1) (sqrt 2))))) (pow cosTheta 4))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (-.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (/.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) (*.f32 cosTheta cosTheta)))) |
(+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) |
(+ cosTheta (+ (* -1 (* (* c (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))) |
(+.f32 cosTheta (-.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 c (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))) |
(+ cosTheta (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) (* (* c (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))) |
(+.f32 cosTheta (fma.f32 c (fma.f32 c (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
(+ cosTheta (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) (* c (+ (* c cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))) |
(+.f32 cosTheta (fma.f32 c (-.f32 (*.f32 c (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
(* (pow c 3) cosTheta) |
(*.f32 cosTheta (*.f32 c (*.f32 c c))) |
(* (pow c 3) (+ cosTheta (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(*.f32 (*.f32 c (*.f32 c c)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) c) cosTheta)) |
(* (pow c 3) (+ cosTheta (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(*.f32 (*.f32 c (*.f32 c c)) (+.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) c) (neg.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 c c))))))) |
(* (pow c 3) (+ cosTheta (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (+ 1 (* -1 (pow cosTheta 2))) (pow c 3)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ cosTheta (pow c 3))))))) |
(*.f32 (*.f32 c (*.f32 c c)) (+.f32 (-.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 c c)))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) c) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 c (*.f32 c c))) (/.f32 cosTheta (*.f32 c (*.f32 c c))))))) |
(* (pow c 3) cosTheta) |
(*.f32 cosTheta (*.f32 c (*.f32 c c))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) |
(neg.f32 (*.f32 (*.f32 c (*.f32 c c)) (-.f32 (neg.f32 cosTheta) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) c))))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (/ (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) c))))) |
(neg.f32 (*.f32 (*.f32 c (*.f32 c c)) (-.f32 (neg.f32 cosTheta) (/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) c))) c)))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) c))))) |
(neg.f32 (*.f32 (*.f32 c (*.f32 c c)) (-.f32 (neg.f32 cosTheta) (/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) c)) c)) c)))) |
(* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))) |
(*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3)))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (pow c 3))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(fma.f32 cosTheta (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (fma.f32 cosTheta (*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32)) (*.f32 c (*.f32 c c)))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))) (pow c 3))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(fma.f32 cosTheta (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (fma.f32 cosTheta (fma.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32) (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (*.f32 c (*.f32 c c)))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(* -1 (* (sqrt (/ (pow cosTheta 5) (PI))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) |
(neg.f32 (*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))) |
(* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (+ (/ 1 (pow cosTheta 2)) (/ (pow c 3) (pow cosTheta 2))))))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (fma.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 c (*.f32 c c)) (*.f32 cosTheta cosTheta))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (+ (/ 1 (pow cosTheta 2)) (/ (pow c 3) (pow cosTheta 2))))))))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (fma.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 c (*.f32 c c)) (*.f32 cosTheta cosTheta))))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 5)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (+ (/ 1 (pow cosTheta 2)) (/ (pow c 3) (pow cosTheta 2))))))))))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))) (fma.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (fma.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 c (*.f32 c c)) (*.f32 cosTheta cosTheta))))))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(* (sqrt (/ (pow cosTheta 5) (PI))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))) |
(*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(* -1 (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1 (/ (+ 1 (pow c 3)) (pow cosTheta 2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))) |
(neg.f32 (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (-.f32 (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))) (/.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) |
(* -1 (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1 (/ (+ 1 (pow c 3)) (pow cosTheta 2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))))) |
(neg.f32 (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (-.f32 (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))))) (/.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) |
(* -1 (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1 (/ (+ 1 (pow c 3)) (pow cosTheta 2))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 5)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))))))) |
(neg.f32 (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (-.f32 (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))) (fma.f32 #s(literal -1/16 binary32) (*.f32 (/.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))))))) (/.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (pow c 3)) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(+ 1 (pow c 3)) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(+ 1 (pow c 3)) |
(fma.f32 c (*.f32 c c) #s(literal 1 binary32)) |
(pow c 3) |
(*.f32 c (*.f32 c c)) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(*.f32 (*.f32 c (*.f32 c c)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 c (*.f32 c c))))) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(*.f32 (*.f32 c (*.f32 c c)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 c (*.f32 c c))))) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(*.f32 (*.f32 c (*.f32 c c)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 c (*.f32 c c))))) |
(pow c 3) |
(*.f32 c (*.f32 c c)) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(*.f32 (*.f32 c (*.f32 c c)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 c (*.f32 c c))))) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(*.f32 (*.f32 c (*.f32 c c)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 c (*.f32 c c))))) |
(* (pow c 3) (+ 1 (/ 1 (pow c 3)))) |
(*.f32 (*.f32 c (*.f32 c c)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 c (*.f32 c c))))) |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(fma.f32 (neg.f32 cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
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(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(fma.f32 cosTheta (fma.f32 cosTheta (*.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
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(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (sqrt.f32 #s(literal -2 binary32))) #s(literal -1/2 binary32)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (sqrt.f32 #s(literal -2 binary32))) #s(literal -1/2 binary32)) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(neg.f32 (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(*.f32 (neg.f32 cosTheta) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(*.f32 (neg.f32 cosTheta) (fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(*.f32 (neg.f32 cosTheta) (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) |
(* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))) |
(*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (* -1 (* (* cosTheta (+ 1 (* c (- c 1)))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(-.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(fma.f32 cosTheta (fma.f32 cosTheta (*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32)) (neg.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32) (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (neg.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(* -1/6 (* (sqrt (/ (pow cosTheta 13) (PI))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 13 binary32)) (PI.f32)))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32)))) |
(* (pow cosTheta 7) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))))) |
(*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (fma.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal -1/12 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))))))) |
(* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))))))) |
(*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (-.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/12 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))))))))) (*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))))) |
(* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))))))))))) |
(*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 11 binary32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(literal -2 binary32))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/12 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (fma.f32 #s(literal -1/16 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))) (fma.f32 #s(literal -1/96 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (fma.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 13 binary32))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))))))))))) (*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))))) |
(* 1/6 (* (sqrt (/ (pow cosTheta 13) (PI))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) |
(*.f32 (*.f32 #s(literal 1/6 binary32) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 13 binary32)) (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(* -1 (* (pow cosTheta 7) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))) |
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(* -1 (* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))))) |
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(* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) |
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(+ (* -1 (* (* c (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) |
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(+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) (* (* c (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) |
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(+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) (* (* c (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) |
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(* (* (pow c 2) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
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(* (pow c 2) (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
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(*.f32 (*.f32 c c) (-.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) c))) c))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(*.f32 (*.f32 c c) (-.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) c))) c))) |
(+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) |
(+ cosTheta (+ (* -1 (* (* c (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(+.f32 cosTheta (-.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 c (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))))) |
(+ cosTheta (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) (* (* c (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(+.f32 cosTheta (fma.f32 c (fma.f32 c (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(+ cosTheta (+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) (* c (+ (* c cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))) |
(+.f32 cosTheta (fma.f32 c (fma.f32 c (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta c)) (neg.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(* (pow c 3) cosTheta) |
(*.f32 cosTheta (*.f32 c (*.f32 c c))) |
(* (pow c 3) (+ cosTheta (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(*.f32 (*.f32 c (*.f32 c c)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) c) cosTheta)) |
(* (pow c 3) (+ cosTheta (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(*.f32 (*.f32 c (*.f32 c c)) (+.f32 (-.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c c)))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) c)))) |
(* (pow c 3) (+ cosTheta (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (+ (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) (pow c 3)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ cosTheta (pow c 3))))))) |
(*.f32 (*.f32 c (*.f32 c c)) (+.f32 (-.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c c)))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) c) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c))) (/.f32 cosTheta (*.f32 c (*.f32 c c))))))) |
(* (pow c 3) cosTheta) |
(*.f32 cosTheta (*.f32 c (*.f32 c c))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) |
(neg.f32 (*.f32 (*.f32 c (*.f32 c c)) (-.f32 (neg.f32 cosTheta) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) c))))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (/ (+ (* -1 (* (/ (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c))))) |
(neg.f32 (*.f32 (*.f32 c (*.f32 c c)) (-.f32 (neg.f32 cosTheta) (/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) c))) c)))) |
(* -1 (* (pow c 3) (+ (* -1 cosTheta) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ cosTheta (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1))))) c))))) |
(neg.f32 (*.f32 (*.f32 c (*.f32 c c)) (-.f32 (neg.f32 cosTheta) (/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) c)) c)) c)))) |
(* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))) |
(*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (pow c 3)))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 c (*.f32 c c)))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))) (pow c 3))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(fma.f32 cosTheta (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (fma.f32 cosTheta (*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32)) (*.f32 c (*.f32 c c)))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(+ (* cosTheta (+ 1 (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))) (pow c 3))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
(fma.f32 cosTheta (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (fma.f32 cosTheta (fma.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32) (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (*.f32 c (*.f32 c c)))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(* -1/6 (* (sqrt (/ (pow cosTheta 13) (PI))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 13 binary32)) (PI.f32)))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32)))) |
(* (pow cosTheta 7) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))))))) |
(*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (fma.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal -1/12 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))))))) |
(* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))))))) |
(*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (-.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/12 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))))))))) (*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))))) |
(* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1))))) (+ (/ 1 (pow cosTheta 6)) (/ (pow c 3) (pow cosTheta 6)))))))))))))) |
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(* 1/6 (* (sqrt (/ (pow cosTheta 13) (PI))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) |
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(* -1 (* (pow cosTheta 7) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))))))) |
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(* -1 (* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))))) |
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(* -1 (* (pow cosTheta 7) (+ (* -1 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1 (/ (+ 1 (pow c 3)) (pow cosTheta 6))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/6 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/12 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* -1/96 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 5)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (* (sqrt (/ 1 (* (pow cosTheta 13) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))))))))) |
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(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(fma.f32 (neg.f32 cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(fma.f32 cosTheta (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
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(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(*.f32 cosTheta (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (sqrt.f32 #s(literal -2 binary32))) #s(literal -1/2 binary32)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (sqrt.f32 #s(literal -2 binary32))) #s(literal -1/2 binary32)) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(neg.f32 (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(*.f32 (neg.f32 cosTheta) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
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(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(/ (+ (* -1 (* (/ cosTheta c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
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(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ cosTheta c) (sqrt (/ 1 (PI))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
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(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ cosTheta c) (sqrt (/ 1 (PI))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
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(* (/ (sqrt -2) c) (sqrt (/ 1 (* cosTheta (PI))))) |
(/.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) c) |
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(* -1 (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) |
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(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) c) (sqrt (/ 1 (* cosTheta (PI)))))) (* -1/2 (* (/ (sqrt -1) (* c (sqrt 2))) (sqrt (/ 1 (* (pow cosTheta 3) (PI))))))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) |
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(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(fma.f32 (neg.f32 cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
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(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
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(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(*.f32 cosTheta (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (sqrt.f32 #s(literal -2 binary32))) #s(literal -1/2 binary32)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (sqrt.f32 #s(literal -2 binary32))) #s(literal -1/2 binary32)) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
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(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
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(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
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(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
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(* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))) |
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(+ (* -1 (* (* c (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) |
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(+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) (* (* c (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) |
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(+ (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) (* (* c (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) |
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(* (* (pow c 2) (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
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(* (pow c 2) (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))) |
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(* (pow c 2) (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))) (* (/ (+ 1 (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
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(* (pow c 2) (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))) (* (/ (+ 1 (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
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(* (* (pow c 2) (+ 1 (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
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(* (pow c 2) (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))) |
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(* (pow c 2) (+ (* -1 (/ (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))) |
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(* (pow c 2) (+ (* -1 (/ (+ (* -1 (* (/ (+ 1 (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2))))) c)) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (+ 1 (* -1 (pow cosTheta 2)))))) |
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(* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1)))) |
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(+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
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(+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))))))))) (* (sqrt (/ 1 (PI))) (+ 1 (* c (- c 1))))) |
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(* -1 (* (sqrt (/ (pow cosTheta 5) (PI))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) |
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(* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))) |
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(* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (*.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 5)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (+ 1 (* c (- c 1))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ 1 (* c (- c 1))) (sqrt -2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -2) (+ 1 (* c (- c 1)))))))))))) |
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(* (sqrt (/ (pow cosTheta 5) (PI))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))) |
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(* -1 (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))) |
(neg.f32 (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) |
(* -1 (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))) |
(neg.f32 (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) |
(* -1 (* (pow cosTheta 3) (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 9) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 5)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (+ 1 (* c (- c 1)))) (sqrt 2)))) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (* (sqrt -1) (* (sqrt 2) (+ 1 (* c (- c 1)))))))))))))) |
(neg.f32 (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 9 binary32)))))) (fma.f32 #s(literal -1/16 binary32) (*.f32 (/.f32 (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) |
Compiled 73 024 to 5 754 computations (92.1% saved)
47 alts after pruning (43 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 516 | 20 | 1 536 |
| Fresh | 5 | 23 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 525 | 47 | 1 572 |
| Status | Accuracy | Program |
|---|---|---|
| 89.8% | (/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 97.8% | (/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 #s(literal 1 binary32) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) | |
| 91.3% | (/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) | |
| 91.0% | (/.f32 (fma.f32 cosTheta (fma.f32 c c c) cosTheta) (fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (*.f32 c (*.f32 c c)) cosTheta))) | |
| 62.4% | (/.f32 (*.f32 (*.f32 c c) (-.f32 cosTheta (/.f32 (-.f32 cosTheta (/.f32 cosTheta c)) c))) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) | |
| ✓ | 91.7% | (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)) |
| 95.8% | (/.f32 cosTheta (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) | |
| 97.4% | (/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) | |
| 96.5% | (/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta)) | |
| 97.7% | (/.f32 cosTheta (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) | |
| 96.0% | (/.f32 cosTheta (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) | |
| 95.9% | (/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) | |
| 97.4% | (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) | |
| 53.7% | (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) c #s(literal 1 binary32))) | |
| 96.2% | (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) | |
| 60.1% | (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) | |
| 59.7% | (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) | |
| ✓ | 58.9% | (/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
| 53.7% | (/.f32 #s(literal 1 binary32) (fma.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))) | |
| ✓ | 59.6% | (/.f32 #s(literal 1 binary32) (fma.f32 c (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c))) #s(literal 1 binary32))) |
| 96.2% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta (-.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta)))) | |
| 89.0% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) | |
| 95.9% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta) cosTheta)) | |
| 91.2% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) | |
| 91.5% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) | |
| 91.9% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) | |
| 61.0% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 c (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))) | |
| 96.7% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 96.1% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 94.9% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 97.5% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 91.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 96.3% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) c))) | |
| 60.1% | (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c))) | |
| 58.5% | (/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))))) | |
| 97.3% | (*.f32 (/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (*.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (neg.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))))) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (neg.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))))) | |
| 91.8% | (*.f32 (/.f32 (*.f32 cosTheta (-.f32 (fma.f32 c c #s(literal 1 binary32)) c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) | |
| 96.7% | (*.f32 (/.f32 cosTheta (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 cosTheta (neg.f32 cosTheta)))) (-.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta)) | |
| 91.1% | (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 cosTheta (fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (*.f32 c (*.f32 c c)) cosTheta)))) | |
| 91.5% | (*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) cosTheta))) | |
| 95.3% | (*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32)))) | |
| 95.2% | (*.f32 cosTheta (fma.f32 (neg.f32 (*.f32 cosTheta (PI.f32))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (PI.f32)))) | |
| 91.5% | (*.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (PI.f32) (sqrt.f32 (PI.f32)))) | |
| 91.9% | (*.f32 cosTheta (sqrt.f32 (*.f32 (PI.f32) (log.f32 (E.f32))))) | |
| ✓ | 91.9% | (*.f32 cosTheta (sqrt.f32 (PI.f32))) |
| 90.5% | (exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta))) #s(literal -1 binary32))) | |
| 11.0% | #s(literal 1 binary32) |
Compiled 3 945 to 1 126 computations (71.5% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) c) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(*.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (PI.f32) (sqrt.f32 (PI.f32)))) |
(/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) |
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 c (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) |
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(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta))) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) c) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) c)) (neg.f32 c))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (PI.f32))) (/.f32 cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta))) (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (+.f32 c #s(literal -1 binary32)) (*.f32 cosTheta (fma.f32 c c #s(literal -1 binary32)))) (*.f32 cosTheta (+.f32 c #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (+.f32 c #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta))) (*.f32 (+.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))) |
(pow.f32 (*.f32 (/.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (/.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta)) #s(literal -1/2 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta))) #s(literal -1 binary32))) |
(*.f32 (/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (*.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (neg.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))))) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (neg.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))))) |
(exp.f32 (*.f32 (log1p.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) c)) #s(literal -1 binary32))) |
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) cosTheta)) (fma.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (neg.f32 (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (*.f32 cosTheta (neg.f32 cosTheta)))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (neg.f32 (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (*.f32 cosTheta (neg.f32 cosTheta)))))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (*.f32 cosTheta (neg.f32 cosTheta)))) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)))) (fma.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta))) (exp.f32 (*.f32 (*.f32 cosTheta (neg.f32 cosTheta)) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))))))) |
(-.f32 (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (*.f32 cosTheta (neg.f32 cosTheta)))))) (fma.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta))) (exp.f32 (*.f32 (*.f32 cosTheta (neg.f32 cosTheta)) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))))) (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (fma.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta))) (exp.f32 (*.f32 (*.f32 cosTheta (neg.f32 cosTheta)) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) (sqrt.f32 (PI.f32))))) |
6 calls:
| 66.0ms | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 58.0ms | (+.f32 #s(literal 1 binary32) c) |
| 57.0ms | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 40.0ms | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| 36.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | cosTheta |
| 98.2% | 1 | c |
| 98.2% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 98.2% | 1 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 98.2% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 98.2% | 1 | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
Compiled 84 to 58 computations (31% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) c) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(*.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (PI.f32) (sqrt.f32 (PI.f32)))) |
(/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) |
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 c (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) |
(/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) c #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 cosTheta (-.f32 (fma.f32 c c #s(literal 1 binary32)) c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 cosTheta (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (fma.f32 (neg.f32 (*.f32 cosTheta (PI.f32))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta)) |
(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) c))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(/.f32 cosTheta (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) c) cosTheta)) cosTheta)) |
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c c) cosTheta) (fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (*.f32 c (*.f32 c c)) cosTheta))) |
(*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 cosTheta (fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (*.f32 c (*.f32 c c)) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) cosTheta)) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) (*.f32 cosTheta cosTheta))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) c) #s(literal -1 binary32)) (neg.f32 c))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(*.f32 (/.f32 cosTheta (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 cosTheta (neg.f32 cosTheta)))) (-.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 #s(literal 1 binary32) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta (-.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta)))) |
(*.f32 cosTheta (sqrt.f32 (*.f32 (PI.f32) (log.f32 (E.f32))))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (+.f32 (neg.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal -1 binary32)) cosTheta))) cosTheta)) |
(/.f32 (*.f32 (*.f32 c c) (-.f32 cosTheta (/.f32 (-.f32 cosTheta (/.f32 cosTheta c)) c))) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) |
(/.f32 cosTheta (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) #s(literal 1 binary32)) c)) |
(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) c) #s(literal 1 binary32))) |
(*.f32 (/.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta)))) (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta c))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) c))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
6 calls:
| 48.0ms | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| 36.0ms | cosTheta |
| 35.0ms | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 33.0ms | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 26.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | cosTheta |
| 97.8% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 97.8% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 97.8% | 1 | c |
| 97.8% | 1 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 97.8% | 1 | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
Compiled 84 to 58 computations (31% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) c) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(*.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (PI.f32) (sqrt.f32 (PI.f32)))) |
(/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) |
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 c (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) |
(/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) c #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 cosTheta (-.f32 (fma.f32 c c #s(literal 1 binary32)) c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 cosTheta (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (fma.f32 (neg.f32 (*.f32 cosTheta (PI.f32))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta)) |
(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) c))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(/.f32 cosTheta (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) c) cosTheta)) cosTheta)) |
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c c) cosTheta) (fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (*.f32 c (*.f32 c c)) cosTheta))) |
(*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 cosTheta (fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (*.f32 c (*.f32 c c)) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) cosTheta)) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) (*.f32 cosTheta cosTheta))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) c) #s(literal -1 binary32)) (neg.f32 c))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(*.f32 (/.f32 cosTheta (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 cosTheta (neg.f32 cosTheta)))) (-.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 #s(literal 1 binary32) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (neg.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 cosTheta (neg.f32 cosTheta))) (*.f32 cosTheta (-.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta)))) |
(*.f32 cosTheta (sqrt.f32 (*.f32 (PI.f32) (log.f32 (E.f32))))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) |
| Outputs |
|---|
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 #s(literal 1 binary32) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) |
6 calls:
| 60.0ms | cosTheta |
| 34.0ms | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 33.0ms | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| 33.0ms | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 31.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | cosTheta |
| 97.8% | 1 | c |
| 97.8% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 97.8% | 1 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 97.8% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 97.8% | 1 | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
Compiled 84 to 58 computations (31% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) c) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(*.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (PI.f32) (sqrt.f32 (PI.f32)))) |
(/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) |
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 c (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) |
(/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) c #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 cosTheta (-.f32 (fma.f32 c c #s(literal 1 binary32)) c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 cosTheta (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (fma.f32 (neg.f32 (*.f32 cosTheta (PI.f32))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta)) |
(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) c))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(/.f32 cosTheta (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) c) cosTheta)) cosTheta)) |
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c c) cosTheta) (fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (*.f32 c (*.f32 c c)) cosTheta))) |
(*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 cosTheta (fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (*.f32 c (*.f32 c c)) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) cosTheta)) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) (*.f32 cosTheta cosTheta))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) c) #s(literal -1 binary32)) (neg.f32 c))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(*.f32 (/.f32 cosTheta (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 cosTheta (neg.f32 cosTheta)))) (-.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) |
6 calls:
| 39.0ms | (+.f32 #s(literal 1 binary32) c) |
| 30.0ms | cosTheta |
| 29.0ms | c |
| 27.0ms | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 14.0ms | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | cosTheta |
| 97.5% | 1 | c |
| 97.5% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 97.5% | 1 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 97.5% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 97.5% | 1 | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
Compiled 84 to 58 computations (31% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) c) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(*.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (PI.f32) (sqrt.f32 (PI.f32)))) |
(/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) |
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 c (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) |
(/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) c #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 cosTheta (-.f32 (fma.f32 c c #s(literal 1 binary32)) c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 cosTheta (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (fma.f32 (neg.f32 (*.f32 cosTheta (PI.f32))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta)) |
(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) c))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(/.f32 cosTheta (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) c) cosTheta)) cosTheta)) |
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c c) cosTheta) (fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (*.f32 c (*.f32 c c)) cosTheta))) |
(*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 cosTheta (fma.f32 (+.f32 #s(literal 1 binary32) (fma.f32 c c c)) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (*.f32 c (*.f32 c c)) cosTheta)))) |
| Outputs |
|---|
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) |
6 calls:
| 103.0ms | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 55.0ms | cosTheta |
| 12.0ms | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| 12.0ms | c |
| 12.0ms | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | cosTheta |
| 97.4% | 1 | c |
| 97.4% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 97.4% | 1 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 97.4% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 97.4% | 1 | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
Compiled 84 to 58 computations (31% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) c) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(*.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (PI.f32) (sqrt.f32 (PI.f32)))) |
(/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) |
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 c (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) |
(/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) c #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 cosTheta (-.f32 (fma.f32 c c #s(literal 1 binary32)) c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 cosTheta (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (fma.f32 (neg.f32 (*.f32 cosTheta (PI.f32))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta)) |
(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) c))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(/.f32 cosTheta (fma.f32 cosTheta (+.f32 c (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) |
6 calls:
| 33.0ms | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 23.0ms | c |
| 10.0ms | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| 10.0ms | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 10.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 1 | cosTheta |
| 96.7% | 1 | c |
| 96.7% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 96.7% | 1 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 96.7% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 96.7% | 1 | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
Compiled 84 to 58 computations (31% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) c) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(*.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (PI.f32) (sqrt.f32 (PI.f32)))) |
(/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) |
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 c (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) |
(/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) c #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 cosTheta (-.f32 (fma.f32 c c #s(literal 1 binary32)) c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 cosTheta (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (fma.f32 (neg.f32 (*.f32 cosTheta (PI.f32))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta)) |
(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta) c))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
| Outputs |
|---|
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta)) |
6 calls:
| 38.0ms | c |
| 17.0ms | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 9.0ms | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 8.0ms | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| 8.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 1 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 96.5% | 1 | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| 96.5% | 1 | cosTheta |
| 96.5% | 1 | c |
| 96.5% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 96.5% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 84 to 58 computations (31% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) c) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(*.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (PI.f32) (sqrt.f32 (PI.f32)))) |
(/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) |
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 c (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) |
(/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) c #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 cosTheta (-.f32 (fma.f32 c c #s(literal 1 binary32)) c)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 cosTheta (fma.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (fma.f32 (neg.f32 (*.f32 cosTheta (PI.f32))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))) |
| Outputs |
|---|
(/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
6 calls:
| 6.0ms | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| 6.0ms | c |
| 6.0ms | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 6.0ms | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 5.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 1 | cosTheta |
| 95.9% | 1 | c |
| 95.9% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 95.9% | 1 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 95.9% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 95.9% | 1 | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
Compiled 84 to 58 computations (31% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) c) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(*.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (PI.f32) (sqrt.f32 (PI.f32)))) |
(/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) |
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 c (*.f32 (*.f32 cosTheta c) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) |
| Outputs |
|---|
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
6 calls:
| 8.0ms | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 6.0ms | c |
| 4.0ms | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 4.0ms | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| 3.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 1 | cosTheta |
| 91.9% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 91.9% | 1 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 91.9% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 91.9% | 1 | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| 91.9% | 1 | c |
Compiled 84 to 58 computations (31% saved)
Total -1.9b remaining (-6.6%)
Threshold costs -1.9b (-6.6%)
| Inputs |
|---|
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) c) |
| Outputs |
|---|
#s(literal 1 binary32) |
6 calls:
| 2.0ms | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 2.0ms | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 2.0ms | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| 1.0ms | c |
| 1.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.0% | 1 | cosTheta |
| 11.0% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 11.0% | 1 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 11.0% | 1 | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| 11.0% | 1 | c |
| 11.0% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 84 to 58 computations (31% saved)
| 1× | egg-herbie |
| 28× | *-commutative_binary32 |
| 28× | +-commutative_binary32 |
| 16× | sub-neg_binary32 |
| 8× | neg-sub0_binary32 |
| 8× | neg-mul-1_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 230 |
| 1 | 111 | 230 |
| 2 | 124 | 230 |
| 3 | 131 | 230 |
| 4 | 133 | 230 |
| 1× | saturated |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 #s(literal 1 binary32) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta)) |
(/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
#s(literal 1 binary32) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta)))) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (*.f32 c c) #s(literal 1 binary32)) cosTheta (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) (*.f32 cosTheta (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 #s(literal 1 binary32) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)))))) |
(/.f32 (fma.f32 cosTheta (fma.f32 c c (neg.f32 c)) cosTheta) (fma.f32 #s(literal 1 binary32) cosTheta (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta)) |
(/.f32 cosTheta (+.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
#s(literal 1 binary32) |
| 9 656× | accelerator-lowering-fma.f32 |
| 9 656× | accelerator-lowering-fma.f64 |
| 7 138× | *-lowering-*.f32 |
| 7 138× | *-lowering-*.f64 |
| 7 024× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 410 | 3676 |
| 1 | 1246 | 3572 |
| 2 | 4762 | 3476 |
| 0 | 8360 | 3311 |
| 0 | 1581 | 19438 |
| 1 | 5491 | 18836 |
| 0 | 8342 | 17345 |
| 0 | 1598 | 19557 |
| 1 | 5438 | 18949 |
| 0 | 8270 | 17871 |
| 0 | 67 | 436 |
| 1 | 463 | 417 |
| 2 | 4317 | 410 |
| 0 | 8142 | 364 |
| 0 | 1701 | 24583 |
| 1 | 6091 | 23943 |
| 0 | 8102 | 22135 |
| 0 | 18 | 89 |
| 1 | 126 | 80 |
| 2 | 1045 | 73 |
| 0 | 8542 | 73 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 606 to 293 computations (51.7% saved)
Compiled 518 to 196 computations (62.2% saved)
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