
Time bar (total: 10.3s)
| 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)
| 1.6s | 8 256× | 0 | valid |
| 8.0ms | 55× | 0 | invalid |
ival-div: 198.0ms (16.2% of total)ival-sqrt: 173.0ms (14.2% of total)ival-mult: 154.0ms (12.6% of total)const: 144.0ms (11.8% of total)ival-sub: 139.0ms (11.4% of total)ival-<: 114.0ms (9.3% of total)ival-add: 101.0ms (8.3% of total)ival-exp: 79.0ms (6.5% of total)ival-neg: 40.0ms (3.3% of total)ival-pi: 36.0ms (2.9% of total)ival-and: 24.0ms (2% of total)exact: 15.0ms (1.2% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 1 | (2.0888960025905043e-39 -0.0006942743202671409) | (*.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) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 1 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 0 |
| 73.0ms | 512× | 0 | valid |
Compiled 533 to 156 computations (70.7% saved)
ival-mult: 14.0ms (25.7% of total)ival-div: 10.0ms (18.4% of total)ival-sqrt: 10.0ms (18.4% of total)ival-add: 5.0ms (9.2% of total)ival-sub: 5.0ms (9.2% of total)ival-exp: 4.0ms (7.4% of total)ival-neg: 3.0ms (5.5% of total)ival-pi: 2.0ms (3.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 127 |
| 1 | 135 | 117 |
| 2 | 394 | 111 |
| 3 | 1316 | 110 |
| 4 | 3697 | 110 |
| 5 | 5276 | 110 |
| 6 | 7001 | 110 |
| 7 | 7750 | 110 |
| 0 | 18 | 25 |
| 0 | 33 | 25 |
| 1 | 59 | 23 |
| 2 | 122 | 22 |
| 3 | 242 | 22 |
| 4 | 365 | 22 |
| 5 | 743 | 22 |
| 6 | 1884 | 22 |
| 7 | 2802 | 22 |
| 8 | 3446 | 22 |
| 9 | 4078 | 22 |
| 10 | 4247 | 22 |
| 11 | 4282 | 22 |
| 12 | 4315 | 22 |
| 13 | 4449 | 22 |
| 14 | 5068 | 22 |
| 15 | 5076 | 22 |
| 16 | 5080 | 22 |
| 17 | 5080 | 22 |
| 0 | 5080 | 21 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.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))))) |
| Outputs |
|---|
(/.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 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (-.f32 #s(literal -1 binary32) c))) |
Compiled 25 to 18 computations (28% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.8% | (/.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 25 to 18 computations (28% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) c) | |
| 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 | 352 | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 126 |
| 0 | 33 | 126 |
| 1 | 59 | 118 |
| 2 | 122 | 115 |
| 3 | 242 | 115 |
| 4 | 365 | 115 |
| 5 | 743 | 115 |
| 6 | 1884 | 115 |
| 7 | 2802 | 115 |
| 8 | 3446 | 115 |
| 9 | 4078 | 115 |
| 10 | 4247 | 115 |
| 11 | 4282 | 115 |
| 12 | 4315 | 115 |
| 13 | 4449 | 115 |
| 14 | 5068 | 115 |
| 15 | 5076 | 115 |
| 16 | 5080 | 115 |
| 17 | 5080 | 115 |
| 0 | 5080 | 108 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.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))))) |
#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) c) |
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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) |
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
| Outputs |
|---|
(/.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 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (-.f32 #s(literal -1 binary32) c))) |
#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 (/.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (-.f32 #s(literal -1 binary32) c)) |
(+.f32 #s(literal 1 binary32) c) |
(-.f32 c #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 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) |
(/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) |
(/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) |
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
(sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) | |
| accuracy | 0.24609375 | (/.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 | 0.6847953904908654 | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) | |
| accuracy | 1.0 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
| 40.0ms | 256× | 0 | valid |
Compiled 254 to 38 computations (85% saved)
ival-exp: 7.0ms (22.9% of total)ival-add: 6.0ms (19.7% of total)ival-div: 5.0ms (16.4% of total)ival-mult: 4.0ms (13.1% of total)ival-sqrt: 4.0ms (13.1% of total)ival-sub: 2.0ms (6.6% of total)ival-pi: 1.0ms (3.3% of total)ival-neg: 1.0ms (3.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ()) |
#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ()) |
#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal 1 binary32) c) (patch (+.f32 #s(literal 1 binary32) c) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (patch (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #<representation binary32>) () ()) |
#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (taylor 0 c) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor 0 c) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor 0 c) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor 0 c) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ()) |
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#s(alt (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) (taylor 0 cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ()) |
#s(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))))))))))) (taylor 0 cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ()) |
#s(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))))))))))) (taylor 0 cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ()) |
#s(alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (taylor 0 cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) (taylor 0 cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) (taylor 0 cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ()) |
#s(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) (taylor 0 cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ()) |
#s(alt 1 (taylor 0 cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* -2 cosTheta)) (taylor 0 cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* -2 cosTheta)) (taylor 0 cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* -2 cosTheta)) (taylor 0 cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(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)))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(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))))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ()) |
#s(alt (* -2 cosTheta) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (taylor -inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2))))) (taylor -inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor -inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor -inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) (taylor -inf cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ()) |
#s(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))))))))) (taylor -inf cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor -inf cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ()) |
#s(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))))))))) (taylor -inf cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) (taylor -inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor -inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor -inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ()) |
#s(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))))))))) (taylor -inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ()) |
#s(alt (* -2 cosTheta) (taylor -inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) (taylor -inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) (taylor -inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) (taylor -inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | cosTheta | @ | 0 | ((* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) 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 c) (/ 1 (sqrt (PI))) (- (- 1 cosTheta) cosTheta)) |
| 10.0ms | cosTheta | @ | -inf | ((* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) 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 c) (/ 1 (sqrt (PI))) (- (- 1 cosTheta) cosTheta)) |
| 6.0ms | cosTheta | @ | inf | ((* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) 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 c) (/ 1 (sqrt (PI))) (- (- 1 cosTheta) cosTheta)) |
| 2.0ms | c | @ | 0 | ((* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) 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 c) (/ 1 (sqrt (PI))) (- (- 1 cosTheta) cosTheta)) |
| 1.0ms | c | @ | inf | ((* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) 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 c) (/ 1 (sqrt (PI))) (- (- 1 cosTheta) cosTheta)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 407 | 3223 |
| 1 | 1237 | 3123 |
| 2 | 4720 | 3043 |
| 0 | 8272 | 2891 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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 (* (/ (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)))))) |
1 |
(+ 1 c) |
(+ 1 c) |
(+ 1 c) |
(/ 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) |
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 |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 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)) |
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))) |
c |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* (/ 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) |
(* 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 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 |
(+ 1 (* -2 cosTheta)) |
(+ 1 (* -2 cosTheta)) |
(+ 1 (* -2 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 (+ 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 (+ 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)))))))) |
(* -2 cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* cosTheta (- (/ 1 cosTheta) 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 (+ 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 (+ 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))))))))) |
(* -2 cosTheta) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
| Outputs |
|---|
(/ 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 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) 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 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) 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 (-.f32 (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))) c (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) 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 (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 4 binary32)))) c (/.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))) c (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.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 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (+.f32 c #s(literal 1 binary32))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (+.f32 c #s(literal 1 binary32))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (+.f32 c #s(literal 1 binary32))) |
1 |
#s(literal 1 binary32) |
(+ 1 c) |
(+.f32 c #s(literal 1 binary32)) |
(+ 1 c) |
(+.f32 c #s(literal 1 binary32)) |
(+ 1 c) |
(+.f32 c #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 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) 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 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) c) (+.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) 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 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) c) (+.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) c) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) c) #s(literal 3 binary32)))) c) |
c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(fma.f32 (fma.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) c #s(literal 1 binary32)) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(fma.f32 (fma.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) c #s(literal 1 binary32)) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(fma.f32 (fma.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) c #s(literal 1 binary32)) |
c |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(/ 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 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.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 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) c) (+.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) 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 (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32)) c) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32))) c) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) c) #s(literal 1 binary32)) (neg.f32 c)) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) c))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) c))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) c))) |
c |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 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)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (fma.f32 cosTheta #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 cosTheta (*.f32 #s(literal -1/2 binary32) cosTheta)))) 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 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1/2 binary32))) (*.f32 cosTheta cosTheta))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 (fma.f32 (neg.f32 cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta) |
(* 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 (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* 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 (fma.f32 (-.f32 (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal 3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 (-.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)) cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* (/ 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 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (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 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (+.f32 c #s(literal 1 binary32))) cosTheta (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 (-.f32 c (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) cosTheta #s(literal 1 binary32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 cosTheta)) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(+ 1 (* -2 cosTheta)) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(+ 1 (* -2 cosTheta)) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) |
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) |
(fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))) |
(fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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))))) |
(fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32) (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))))) |
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32)))) |
(+ (* -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))))))) |
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) #s(literal -1/2 binary32)) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32))))) |
(- (+ (* -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)))))) |
(-.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) #s(literal -1/2 binary32)) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) cosTheta) (/.f32 (/.f32 (exp.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32))) (*.f32 #s(literal -2 binary32) (PI.f32))) (pow.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 3 binary32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) #s(literal -1/8 binary32)) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (pow.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32))))) (pow.f32 cosTheta #s(literal 4 binary32)))) |
(- (+ (* -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)))))))) |
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (/.f32 (/.f32 (exp.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32))) (*.f32 #s(literal -2 binary32) (PI.f32))) (pow.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) #s(literal -1/8 binary32)) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (pow.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) #s(literal 1/2 binary32)) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32))))))) (/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) #s(literal -1/2 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) cosTheta) (/.f32 (/.f32 (exp.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32))) (*.f32 #s(literal -2 binary32) (PI.f32))) (pow.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 3 binary32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) #s(literal -1/8 binary32)) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (pow.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32))))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (*.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (fma.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (pow.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32))) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (/.f32 (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32))) (*.f32 cosTheta (/.f32 cosTheta (PI.f32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 4 binary32))) (pow.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 3 binary32)))) #s(literal 1/16 binary32))) (pow.f32 cosTheta #s(literal 6 binary32)))) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32))) |
(+ 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 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) c) (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) #s(literal 1 binary32))) |
(+ 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 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) c))) #s(literal 1 binary32)) |
(+ 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 (*.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))))) (+.f32 c #s(literal 1 binary32))) |
(* -2 cosTheta) |
(*.f32 #s(literal -2 binary32) cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2))))) |
(-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (sqrt.f32 #s(literal 2 binary32))) (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)))))) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (sqrt.f32 #s(literal 2 binary32))) (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)))) (+ (* -1/16 (* (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))))))) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (fma.f32 (*.f32 #s(literal -1/16 binary32) (/.f32 (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 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) |
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32)))) |
(+ (* 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))))))))) |
(fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))))) |
(- (+ (* -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)))))) |
(-.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 (/.f32 (exp.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 4 binary32)))) |
(- (+ (* -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))))))))) |
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32)))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32))) (fma.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) #s(literal -1/2 binary32)) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (/.f32 (exp.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 3 binary32)))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 cosTheta (/.f32 cosTheta (PI.f32)))) (/.f32 (/.f32 (exp.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 4 binary32))) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 (/.f32 (exp.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))))) (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32))))) (pow.f32 cosTheta #s(literal 6 binary32)))) |
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 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 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) c) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) #s(literal -1/2 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 #s(literal 2 binary32))) #s(literal 1 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)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
(+.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) (fma.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) #s(literal -1/2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (/.f32 (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)))) (+ (* -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 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) (fma.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32))))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (fma.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) #s(literal -1/2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) |
(* -2 cosTheta) |
(*.f32 #s(literal -2 binary32) cosTheta) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 73 |
| 0 | 33 | 73 |
| 1 | 141 | 66 |
| 2 | 1060 | 61 |
| 0 | 8551 | 61 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) |
(/.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 (+.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) c) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
| Outputs |
|---|
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Compiled 20 812 to 2 791 computations (86.6% saved)
21 alts after pruning (21 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 515 | 21 | 536 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 516 | 21 | 537 |
| Status | Accuracy | Program |
|---|---|---|
| 54.3% | (/.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta)) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32)))) | |
| 12.9% | (/.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) | |
| 98.3% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) cosTheta))) | |
| 98.4% | (/.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)) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 98.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 98.6% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 98.0% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 97.8% | (/.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))))) | |
| ▶ | 98.3% | (/.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)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| ▶ | 98.6% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 98.0% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| ▶ | 96.7% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 93.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| ▶ | 97.4% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) |
| 93.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) | |
| 28.6% | (-.f32 (/.f32 (+.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32))) (+.f32 (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 3 binary32)) (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 3 binary32)))) (/.f32 (*.f32 (/.f32 (+.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (+.f32 (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 3 binary32)) (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 3 binary32))))) | |
| 54.3% | (-.f32 (/.f32 (+.f32 c #s(literal 1 binary32)) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32)))) (/.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32))))) | |
| 54.3% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta))) | |
| ▶ | 5.0% | #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
| 94.0% | #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
Compiled 1 246 to 712 computations (42.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) c) | |
| 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)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| cost-diff | 192 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) | |
| cost-diff | 352 | (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) | |
| cost-diff | 0 | #s(approx (+ 1 c) #s(literal 1 binary32)) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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 | 192 | (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)) | |
| cost-diff | 0 | #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) c) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| cost-diff | 192 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) c) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) c) | |
| cost-diff | 0 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) 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) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| cost-diff | 160 | (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 612 |
| 0 | 100 | 612 |
| 1 | 158 | 578 |
| 2 | 314 | 568 |
| 3 | 617 | 565 |
| 4 | 1146 | 565 |
| 5 | 2329 | 565 |
| 6 | 4361 | 565 |
| 0 | 8042 | 540 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
#s(literal 1 binary32) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(+.f32 #s(literal 1 binary32) c) |
c |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) |
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
cosTheta |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
(/.f32 #s(literal 1 binary32) c) |
#s(literal 1 binary32) |
c |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
#s(literal 1 binary32) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(+.f32 #s(literal 1 binary32) c) |
c |
(*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(/.f32 #s(literal 1 binary32) (PI.f32)) |
(PI.f32) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) |
#s(literal 1 binary32) |
(+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) |
#s(approx (+ 1 c) #s(literal 1 binary32)) |
(*.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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) |
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 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)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
#s(literal 1 binary32) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(+.f32 #s(literal 1 binary32) c) |
c |
(*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
(*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) |
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) |
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(cbrt.f32 (PI.f32)) |
(PI.f32) |
(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) |
(/.f32 #s(literal 1 binary32) cosTheta) |
(pow.f32 (PI.f32) #s(literal 1/6 binary32)) |
#s(literal 1/6 binary32) |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) (+.f32 c #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(fma.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) (+.f32 c #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) c) |
(+.f32 c #s(literal 1 binary32)) |
c |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
(/.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta)) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) |
(/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
cosTheta |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
(sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
(/.f32 #s(literal 1 binary32) c) |
#s(literal 1 binary32) |
c |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(fma.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) c) |
(+.f32 c #s(literal 1 binary32)) |
c |
(*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
(/.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (pow.f32 (exp.f32 cosTheta) cosTheta)) |
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) |
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(/.f32 #s(literal 1 binary32) (PI.f32)) |
(PI.f32) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) #s(approx (+ 1 c) #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) |
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) #s(approx (+ 1 c) #s(literal 1 binary32))) |
#s(approx (+ 1 c) #s(literal 1 binary32)) |
(*.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 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) |
(/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) |
(/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) |
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
(sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 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)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(fma.f32 (/.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) c) |
(+.f32 c #s(literal 1 binary32)) |
c |
(*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
(/.f32 (/.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta)) |
(*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) |
(/.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) cosTheta)) |
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) |
(/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (cbrt.f32 (PI.f32))) |
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
(sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(cbrt.f32 (PI.f32)) |
(PI.f32) |
(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) cosTheta) |
(/.f32 #s(literal 1 binary32) cosTheta) |
(pow.f32 (PI.f32) #s(literal 1/6 binary32)) |
#s(literal 1/6 binary32) |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) | |
| accuracy | 0.24609375 | (/.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)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| accuracy | 0.4481353807224233 | (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) | |
| accuracy | 0.47855380861065216 | (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) | |
| accuracy | 0.24609375 | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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 | 0.6847953904908654 | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) | |
| accuracy | 1.0 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) | |
| accuracy | 2.0988295805578905 | #s(approx (+ 1 c) #s(literal 1 binary32)) | |
| accuracy | 0.24609375 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| accuracy | 0.5193176434029886 | #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) | |
| accuracy | 0.58984375 | (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) | |
| accuracy | 1.0 | (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) | |
| accuracy | 0 | (/.f32 #s(literal 1 binary32) c) | |
| accuracy | 30.399699976258482 | #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) | |
| accuracy | 0.09765625 | (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) | |
| accuracy | 0.24609375 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| accuracy | 0.26953125 | (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) | |
| accuracy | 0.3671875 | (*.f32 cosTheta (sqrt.f32 (PI.f32))) |
| 111.0ms | 256× | 0 | valid |
Compiled 1 086 to 86 computations (92.1% saved)
ival-mult: 35.0ms (39% of total)ival-div: 18.0ms (20.1% of total)ival-add: 14.0ms (15.6% of total)ival-sqrt: 5.0ms (5.6% of total)ival-pow: 5.0ms (5.6% of total)const: 4.0ms (4.5% of total)ival-exp: 2.0ms (2.2% of total)ival-cbrt: 2.0ms (2.2% of total)ival-sub: 2.0ms (2.2% of total)ival-pi: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ()) |
#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal 1 binary32) c) (patch (+.f32 #s(literal 1 binary32) c) #<representation binary32>) () ()) |
#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) c) (patch (/.f32 #s(literal 1 binary32) c) #<representation binary32>) () ()) |
#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ()) |
#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ 1 c) #s(literal 1 binary32)) (patch #s(approx (+ 1 c) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (patch (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) #<representation binary32>) () ()) |
#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ()) |
#s(alt (/.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)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.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)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ()) |
#s(alt (*.f32 cosTheta (sqrt.f32 (PI.f32))) (patch (*.f32 cosTheta (sqrt.f32 (PI.f32))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (patch (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #<representation binary32>) () ()) |
#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (patch (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #<representation binary32>) () ()) |
#s(alt (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (patch (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (patch (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #<representation binary32>) () ()) |
#s(alt (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (patch (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (taylor 0 c) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor 0 c) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor 0 c) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor 0 c) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (taylor 0 c) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (taylor 0 c) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (taylor 0 c) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (taylor 0 c) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(alt 1 (taylor 0 c) (#s(alt (+.f32 #s(literal 1 binary32) c) (patch (+.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 c) (taylor 0 c) (#s(alt (+.f32 #s(literal 1 binary32) c) (patch (+.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 c) (taylor 0 c) (#s(alt (+.f32 #s(literal 1 binary32) c) (patch (+.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 c) (taylor 0 c) (#s(alt (+.f32 #s(literal 1 binary32) c) (patch (+.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (taylor 0 c) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor 0 c) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor 0 c) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor 0 c) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f32 #s(literal 1 binary32) c) (patch (/.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f32 #s(literal 1 binary32) c) (patch (/.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f32 #s(literal 1 binary32) c) (patch (/.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f32 #s(literal 1 binary32) c) (patch (/.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())) ()) |
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#s(alt (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) (taylor 0 cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
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#s(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))))))))))) (taylor 0 cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (taylor 0 cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) (taylor 0 cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta) (taylor 0 cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta) (taylor 0 cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (taylor 0 cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) (taylor 0 cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta) (taylor 0 cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta) (taylor 0 cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (taylor 0 cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) (taylor 0 cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) (taylor 0 cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) #<representation binary32>) () ())) ()) |
#s(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) (taylor 0 cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (sqrt (PI))) (taylor 0 cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) (taylor 0 cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) #<representation binary32>) () ())) ()) |
#s(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))))))))))) (taylor 0 cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) #<representation binary32>) () ())) ()) |
#s(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))))))))))) (taylor 0 cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) #<representation binary32>) () ())) ()) |
#s(alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (taylor 0 cosTheta) (#s(alt (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (patch (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) (taylor 0 cosTheta) (#s(alt (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (patch (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta) (taylor 0 cosTheta) (#s(alt (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (patch (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta) (taylor 0 cosTheta) (#s(alt (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (patch (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (taylor 0 cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
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#s(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)))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(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)))) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(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))))) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(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)))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(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))))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (patch (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (patch (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) #<representation binary32>) () ())) ()) |
#s(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)))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (patch (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) #<representation binary32>) () ())) ()) |
#s(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))))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (patch (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
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#s(alt (* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) (taylor -inf cosTheta) (#s(alt (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (patch (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) (taylor -inf cosTheta) (#s(alt (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (patch (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) (taylor -inf cosTheta) (#s(alt (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (patch (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) #<representation binary32>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | c | @ | 0 | ((* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (+ (+ 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 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (+ (+ 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) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (/ 1 (* cosTheta (sqrt (PI)))) (- (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (/ 1 (sqrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) |
| 57.0ms | cosTheta | @ | inf | ((* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (+ (+ 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 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (+ (+ 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) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (/ 1 (* cosTheta (sqrt (PI)))) (- (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (/ 1 (sqrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) |
| 56.0ms | cosTheta | @ | 0 | ((* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (+ (+ 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 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (+ (+ 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) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (/ 1 (* cosTheta (sqrt (PI)))) (- (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (/ 1 (sqrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) |
| 31.0ms | cosTheta | @ | -inf | ((* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (+ (+ 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 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (+ (+ 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) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (/ 1 (* cosTheta (sqrt (PI)))) (- (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (/ 1 (sqrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) |
| 18.0ms | c | @ | -inf | ((* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (+ (+ 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 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (+ (+ 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) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (/ 1 (* cosTheta (sqrt (PI)))) (- (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (/ 1 (sqrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 411 | 15089 |
| 1 | 1247 | 14573 |
| 2 | 4735 | 14185 |
| 0 | 8294 | 13515 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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 (* (/ (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)))))) |
1 |
(+ 1 c) |
(+ 1 c) |
(+ 1 c) |
(/ 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 c) |
(/ 1 c) |
(/ 1 c) |
(+ 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)))))) |
(/ 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 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) |
(+ 1 (+ c (* (/ (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)))))) |
(/ 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 |
(+ 1 c) |
(+ 1 c) |
(+ 1 c) |
(+ 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)))))) |
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(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
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(/ 1 c) |
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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 |
(* c (+ 1 (/ 1 c))) |
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(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
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(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
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c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
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c |
(* c (+ 1 (/ 1 c))) |
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c |
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(* 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)))) |
(/ 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) |
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(* -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)) |
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))) |
c |
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(* -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)) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 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 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)) |
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 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)) |
c |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 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 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)) |
(* (/ 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) |
(* 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 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) |
(* 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 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) |
(* 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 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) |
(* (/ 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) |
(* (/ 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) |
(* 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 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) |
(* (/ 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) |
(* 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))))))))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
1 |
(+ 1 (* -2 cosTheta)) |
(+ 1 (* -2 cosTheta)) |
(+ 1 (* -2 cosTheta)) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 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 (+ 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 (+ 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))))))) |
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(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* -2 cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* -1 (sqrt (/ 1 (PI)))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
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(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
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(/ 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))))))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* -2 cosTheta) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(* -1 (sqrt (/ 1 (PI)))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
| Outputs |
|---|
(/ 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 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) 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 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) 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 (-.f32 (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))) c (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) 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 (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 4 binary32)))) c (/.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))) c (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.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 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (+.f32 c #s(literal 1 binary32))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (+.f32 c #s(literal 1 binary32))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (+.f32 c #s(literal 1 binary32))) |
1 |
#s(literal 1 binary32) |
(+ 1 c) |
(+.f32 c #s(literal 1 binary32)) |
(+ 1 c) |
(+.f32 c #s(literal 1 binary32)) |
(+ 1 c) |
(+.f32 c #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 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) 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 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) 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 (-.f32 (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))) c (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) 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 (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 4 binary32)))) c (/.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))) c (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 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 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (+.f32 c #s(literal 1 binary32))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (+.f32 c #s(literal 1 binary32))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (+.f32 c #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 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) 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 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) 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 (-.f32 (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))) c (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) 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 (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 4 binary32)))) c (/.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))) c (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.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 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (+.f32 c #s(literal 1 binary32))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (+.f32 c #s(literal 1 binary32))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (+.f32 c #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 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) 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))))))) |
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(/ 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 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.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 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) c) (+.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) 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 (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32)) c) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32))) c) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) #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))) (* -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 (fma.f32 cosTheta #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 cosTheta (*.f32 #s(literal -1/2 binary32) cosTheta)))) 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 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1/2 binary32))) (*.f32 cosTheta cosTheta))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 (fma.f32 (neg.f32 cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta) |
(* 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 (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* 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 (fma.f32 (-.f32 (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal 3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 (-.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)) cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* (/ 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 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (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 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (+.f32 c #s(literal 1 binary32))) cosTheta (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 (-.f32 c (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) cosTheta #s(literal 1 binary32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 (fma.f32 (neg.f32 cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta) |
(* 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 (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* 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 (fma.f32 (-.f32 (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal 3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 (-.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)) cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* (/ 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 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (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 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (+.f32 c #s(literal 1 binary32))) cosTheta (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 (-.f32 c (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) cosTheta #s(literal 1 binary32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 (fma.f32 (neg.f32 cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta) |
(* 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 (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* 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 (fma.f32 (-.f32 (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal 3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 (-.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)) cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* (/ 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 (fma.f32 cosTheta #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 cosTheta (*.f32 #s(literal -1/2 binary32) cosTheta)))) 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 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1/2 binary32))) (*.f32 cosTheta cosTheta))) cosTheta) |
(* (/ 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 (fma.f32 cosTheta #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 cosTheta (*.f32 #s(literal -1/2 binary32) cosTheta)))) 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 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1/2 binary32))) (*.f32 cosTheta cosTheta))) cosTheta) |
(* (/ 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 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (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 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (+.f32 c #s(literal 1 binary32))) cosTheta (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 (-.f32 c (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) cosTheta #s(literal 1 binary32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 (fma.f32 (neg.f32 cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta) |
(* 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 (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* 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 (fma.f32 (-.f32 (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal 3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 (-.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)) cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* (/ 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 (fma.f32 cosTheta #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 cosTheta (*.f32 #s(literal -1/2 binary32) cosTheta)))) 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 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1/2 binary32))) (*.f32 cosTheta cosTheta))) cosTheta) |
(* (/ 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 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (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 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (+.f32 c #s(literal 1 binary32))) cosTheta (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 (-.f32 c (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) cosTheta #s(literal 1 binary32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 (fma.f32 (neg.f32 cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta) |
(* 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 (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* 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 (fma.f32 (-.f32 (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal 3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 (-.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)) cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 cosTheta)) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(+ 1 (* -2 cosTheta)) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(+ 1 (* -2 cosTheta)) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 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))) (* -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))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) |
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) |
(fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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)))) |
(fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (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))))) |
(fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))))) |
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32)))) |
(+ (* -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))))))) |
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) #s(literal -1/2 binary32)) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32))))) |
(- (+ (* -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)))))) |
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(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* -2 cosTheta) |
(*.f32 #s(literal -2 binary32) cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(* -1 (sqrt (/ 1 (PI)))) |
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2))))) |
(-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (sqrt.f32 #s(literal 2 binary32))) (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)))))) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (sqrt.f32 #s(literal 2 binary32))) (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)))) (+ (* -1/16 (* (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))))))) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (fma.f32 (*.f32 #s(literal -1/16 binary32) (/.f32 (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 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) |
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32)))) |
(+ (* 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))))))))) |
(fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))))) |
(- (+ (* -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)))))) |
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(-.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 (/.f32 (exp.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 4 binary32)))) |
(- (+ (* -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))))))))) |
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32)))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32))) (fma.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) #s(literal -1/2 binary32)) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (/.f32 (exp.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 3 binary32)))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 cosTheta (/.f32 cosTheta (PI.f32)))) (/.f32 (/.f32 (exp.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 4 binary32))) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 (/.f32 (exp.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -2 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))))) (/.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) (pow.f32 (fma.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta)))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32))))) (pow.f32 cosTheta #s(literal 6 binary32)))) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* -2 cosTheta) |
(*.f32 #s(literal -2 binary32) cosTheta) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(* -1 (sqrt (/ 1 (PI)))) |
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta) |
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta)) |
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 373 |
| 0 | 100 | 361 |
| 1 | 362 | 322 |
| 2 | 2409 | 309 |
| 0 | 8701 | 300 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(+.f32 #s(literal 1 binary32) c) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
(/.f32 #s(literal 1 binary32) c) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) |
(+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) |
#s(approx (+ 1 c) #s(literal 1 binary32)) |
(*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) 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)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) |
| Outputs |
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Compiled 74 776 to 5 679 computations (92.4% saved)
25 alts after pruning (23 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 885 | 18 | 1 903 |
| Fresh | 11 | 5 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 899 | 25 | 1 924 |
| Status | Accuracy | Program |
|---|---|---|
| 54.3% | (/.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta)) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32)))) | |
| ▶ | 14.4% | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
| ▶ | 98.3% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
| 98.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 98.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 93.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 96.7% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 96.5% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 96.9% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 97.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 96.5% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| ▶ | 97.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 97.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| ▶ | 97.6% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 98.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 97.4% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) | |
| ✓ | 97.4% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) |
| 93.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 98.2% | (/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)))))) | |
| 93.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) | |
| 28.6% | (-.f32 (/.f32 (+.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32))) (+.f32 (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 3 binary32)) (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 3 binary32)))) (/.f32 (*.f32 (/.f32 (+.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (+.f32 (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 3 binary32)) (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 3 binary32))))) | |
| 54.3% | (-.f32 (/.f32 (+.f32 c #s(literal 1 binary32)) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32)))) (/.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32))))) | |
| 53.9% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) #s(literal 2 binary32)))) (-.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) | |
| ▶ | 94.0% | #s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
| ✓ | 5.0% | #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
Compiled 1 390 to 827 computations (40.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 64 | (-.f32 (*.f32 c c) #s(literal 1 binary32)) | |
| cost-diff | 96 | (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) | |
| cost-diff | 352 | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) | |
| cost-diff | 512 | (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) | |
| cost-diff | 0 | (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| cost-diff | 64 | (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) | |
| cost-diff | 352 | (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) | |
| cost-diff | 0 | #s(approx (+ 1 c) #s(literal 1 binary32)) | |
| cost-diff | 0 | (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| cost-diff | 64 | (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) | |
| cost-diff | 0 | (PI.f32) | |
| cost-diff | 0 | (sqrt.f32 (PI.f32)) | |
| cost-diff | 0 | (*.f32 (sqrt.f32 (PI.f32)) cosTheta) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) | |
| cost-diff | 192 | (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) | |
| cost-diff | 192 | (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) | |
| cost-diff | 192 | (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) | |
| cost-diff | 224 | (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 636 |
| 0 | 107 | 627 |
| 1 | 182 | 609 |
| 2 | 380 | 593 |
| 3 | 1035 | 593 |
| 4 | 2403 | 577 |
| 5 | 4525 | 577 |
| 0 | 8087 | 537 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
#s(literal 1 binary32) |
(/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) |
(+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) |
(+.f32 c #s(literal 1 binary32)) |
c |
(/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) |
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) |
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(pow.f32 (exp.f32 cosTheta) cosTheta) |
(exp.f32 cosTheta) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
cosTheta |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
#s(literal 1 binary32) |
(+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
#s(approx (+ 1 c) #s(literal 1 binary32)) |
(*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) |
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) |
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(PI.f32) |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
#s(literal 1 binary32) |
(+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
#s(approx (+ 1 c) #s(literal 1 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) |
(/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) |
cosTheta |
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) |
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
(PI.f32) |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
#s(literal 1 binary32) |
(/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) |
(fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) |
(-.f32 (*.f32 c c) #s(literal 1 binary32)) |
(*.f32 c c) |
c |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(*.f32 (-.f32 c #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)))) |
(-.f32 c #s(literal 1 binary32)) |
(*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) |
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) |
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) |
(exp.f32 cosTheta) |
(neg.f32 cosTheta) |
(*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 (/.f32 (sqrt.f32 (PI.f32)) (+.f32 c #s(literal 1 binary32))) (fma.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (fma.f32 cosTheta c cosTheta)) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) |
#s(literal 1 binary32) |
(/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) |
(*.f32 (/.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (fma.f32 cosTheta c cosTheta)) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) |
(+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) |
(fma.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (fma.f32 cosTheta c cosTheta)) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) |
(/.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (fma.f32 cosTheta c cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) |
(+.f32 c #s(literal 1 binary32)) |
c |
(/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) |
(/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) |
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) |
(/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) |
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
(sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(pow.f32 (exp.f32 cosTheta) cosTheta) |
(exp.f32 cosTheta) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) |
(/.f32 (sqrt.f32 (PI.f32)) (+.f32 c #s(literal 1 binary32))) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
cosTheta |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) #s(approx (+ 1 c) #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) #s(approx (+ 1 c) #s(literal 1 binary32))) |
#s(approx (+ 1 c) #s(literal 1 binary32)) |
(*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) |
(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) |
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) |
(sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) |
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) |
(/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32)) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(PI.f32) |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) #s(approx (+ 1 c) #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) #s(approx (+ 1 c) #s(literal 1 binary32))) |
#s(approx (+ 1 c) #s(literal 1 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) |
(/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) |
(/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) |
(/.f32 cosTheta (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32)))) |
cosTheta |
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) |
(sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) |
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) |
(/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32)) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
(PI.f32) |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
(/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)))) |
#s(literal 1 binary32) |
(/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) |
(/.f32 (fma.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))) (sqrt.f32 (PI.f32))) |
(fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) |
(*.f32 (fma.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))) (-.f32 c #s(literal 1 binary32))) |
(-.f32 (*.f32 c c) #s(literal 1 binary32)) |
(fma.f32 c c #s(literal -1 binary32)) |
(*.f32 c c) |
c |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(*.f32 (-.f32 c #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)))) |
(*.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))) |
(-.f32 c #s(literal 1 binary32)) |
(*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) |
(/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) |
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) |
(/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) |
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
(sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) |
(exp.f32 cosTheta) |
(neg.f32 cosTheta) |
(*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09765625 | (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) | |
| accuracy | 0.24609375 | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) | |
| accuracy | 0.4051666307224233 | (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) | |
| accuracy | 25.772205958175707 | (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) | |
| accuracy | 0.28515625 | (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) | |
| accuracy | 0.578125 | (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) | |
| accuracy | 0.80859375 | (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) | |
| accuracy | 2.0988295805578905 | #s(approx (+ 1 c) #s(literal 1 binary32)) | |
| accuracy | 0.24609375 | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| accuracy | 0.578125 | (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) | |
| accuracy | 0.80859375 | (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) | |
| accuracy | 2.0988295805578905 | #s(approx (+ 1 c) #s(literal 1 binary32)) | |
| accuracy | 0 | (sqrt.f32 (PI.f32)) | |
| accuracy | 0 | (PI.f32) | |
| accuracy | 0.3671875 | (*.f32 (sqrt.f32 (PI.f32)) cosTheta) | |
| accuracy | 1.6241333397103372 | #s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) | |
| accuracy | 0.09765625 | (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) | |
| accuracy | 0.1015625 | (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) | |
| accuracy | 0.24609375 | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) | |
| accuracy | 0.4403228807224233 | (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) |
| 198.0ms | 256× | 0 | valid |
Compiled 1 213 to 104 computations (91.4% saved)
ival-div: 74.0ms (42.2% of total)ival-mult: 25.0ms (14.2% of total)const: 20.0ms (11.4% of total)ival-pow: 16.0ms (9.1% of total)ival-add: 15.0ms (8.5% of total)ival-sqrt: 11.0ms (6.3% of total)ival-exp: 5.0ms (2.8% of total)ival-sub: 5.0ms (2.8% of total)ival-cbrt: 2.0ms (1.1% of total)ival-pi: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) #<representation binary32>) () ()) |
#s(alt (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (patch (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ()) |
#s(alt (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (patch (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) #<representation binary32>) () ()) |
#s(alt (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (patch (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) #<representation binary32>) () ()) |
#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #<representation binary32>) () ()) |
#s(alt (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (PI.f32)) (patch (sqrt.f32 (PI.f32)) #<representation binary32>) () ()) |
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ 1 c) #s(literal 1 binary32)) (patch #s(approx (+ 1 c) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ()) |
#s(alt (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (patch (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ()) |
#s(alt (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (patch (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) #<representation binary32>) () ()) |
#s(alt (-.f32 (*.f32 c c) #s(literal 1 binary32)) (patch (-.f32 (*.f32 c c) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) #<representation binary32>) () ()) |
#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ()) |
#s(alt (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) #<representation binary32>) () ()) |
#s(alt (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (patch (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))) (taylor 0 c) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (taylor 0 c) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (taylor 0 c) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* c (+ (* -1 (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (taylor 0 c) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (taylor 0 c) (#s(alt (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (patch (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (* (* c (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (sqrt (/ 1 (PI))))) (taylor 0 c) (#s(alt (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (patch (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* c (+ (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (* (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (taylor 0 c) (#s(alt (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (patch (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())) ()) |
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#s(alt (* cosTheta (+ (sqrt (PI)) (* (* cosTheta (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (sqrt (PI))))) (taylor 0 cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ()) |
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#s(alt (/ (- (+ c (* cosTheta (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))))) 1) cosTheta) (taylor 0 cosTheta) (#s(alt (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (patch (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) #<representation binary32>) () ())) ()) |
#s(alt (/ (- (+ c (* cosTheta (+ (* -1 (- c 1)) (+ (* cosTheta (+ (* -1 (- c 1)) (* -1/2 (- c 1)))) (* (sqrt (PI)) (- (pow c 2) 1)))))) 1) cosTheta) (taylor 0 cosTheta) (#s(alt (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (patch (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) #<representation binary32>) () ())) ()) |
#s(alt (/ (- (+ c (* cosTheta (+ (* -1 (- c 1)) (+ (* cosTheta (+ (* -1 (- c 1)) (+ (* -1/2 (- c 1)) (* cosTheta (- (+ c (* -1/2 (- c 1))) 1))))) (* (sqrt (PI)) (- (pow c 2) 1)))))) 1) cosTheta) (taylor 0 cosTheta) (#s(alt (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (patch (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (sqrt (PI))) (taylor 0 cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ (sqrt (PI)) (* -1 (* (* cosTheta (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (sqrt (PI)))))) (taylor 0 cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))) (* (* cosTheta (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2))))) (sqrt (PI))))))) (taylor 0 cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))) (* cosTheta (+ (* -1 (* (* cosTheta (+ 1/2 (+ (* 3/2 (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (* (+ 1 c) (* (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2)))) (- (sqrt (PI)) (/ 1 (+ 1 c)))))))) (sqrt (PI)))) (* (sqrt (PI)) (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2))))))))))) (taylor 0 cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ()) |
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#s(alt (+ 1 (* -2 cosTheta)) (taylor 0 cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
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#s(alt (sqrt (/ 1 (PI))) (taylor 0 cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ()) |
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#s(alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta) (taylor 0 cosTheta) (#s(alt (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (sqrt (PI))) (taylor 0 cosTheta) (#s(alt (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (patch (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI))))) (taylor 0 cosTheta) (#s(alt (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (patch (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (* cosTheta (+ (PI) (* -4 (PI)))) (sqrt (/ 1 (PI))))))))) (taylor 0 cosTheta) (#s(alt (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (patch (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* -1/2 (* (* cosTheta (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI)))))) (sqrt (/ 1 (PI))))))))))) (taylor 0 cosTheta) (#s(alt (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (patch (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) (taylor inf cosTheta) (#s(alt (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (patch (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (taylor inf cosTheta) (#s(alt (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (patch (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) (taylor inf cosTheta) (#s(alt (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (patch (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))))) (taylor inf cosTheta) (#s(alt (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (patch (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) (taylor inf cosTheta) (#s(alt (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (patch (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (PI)) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))) (taylor inf cosTheta) (#s(alt (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (patch (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (PI)) (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) (taylor inf cosTheta) (#s(alt (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (patch (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (PI)) (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (taylor inf cosTheta) (#s(alt (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (patch (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (exp (pow cosTheta 2)))) (taylor inf cosTheta) (#s(alt (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (patch (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (exp (pow cosTheta 2))))) (taylor inf cosTheta) (#s(alt (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (patch (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (exp (pow cosTheta 2)))))) (taylor inf cosTheta) (#s(alt (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (patch (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (exp (pow cosTheta 2))))))) (taylor inf cosTheta) (#s(alt (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (patch (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(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)))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(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))))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(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)))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(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))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(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)))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(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))))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (PI))) (/ (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (- c 1))) (taylor inf cosTheta) (#s(alt (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (patch (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (PI))) (/ (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (- c 1)))) (taylor inf cosTheta) (#s(alt (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (patch (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(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 (PI))) (/ (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (- c 1))))) (taylor inf cosTheta) (#s(alt (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (patch (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(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 (PI))) (/ (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (- c 1)))))) (taylor inf cosTheta) (#s(alt (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (patch (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (PI)) (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2))))) (* (sqrt (PI)) (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (* (/ (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt -2) 2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 3)))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2)))))) (pow cosTheta 4)) (sqrt (PI)))) (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2))))) (* (sqrt (PI)) (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (* (/ (+ (* -1/2 (* (sqrt cosTheta) (/ (* (exp (* -1 (pow cosTheta 2))) (* (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt -2) 2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 3)))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2)))))) (- c 1))) (* (sqrt -2) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))))))) (+ (* 1/16 (* (sqrt (pow cosTheta 5)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 5) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt -2) 4) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 3)))))) (pow cosTheta 6)) (sqrt (PI)))) (+ (* -1 (* (/ (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt -2) 2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 3)))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2)))))) (pow cosTheta 4)) (sqrt (PI)))) (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2))))) (* (sqrt (PI)) (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (taylor inf cosTheta) (#s(alt (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (patch (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (sqrt -2)))) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))))) (taylor inf cosTheta) (#s(alt (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (patch (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (sqrt -2)))) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))))) (taylor inf cosTheta) (#s(alt (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (patch (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (sqrt -2)))) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))))))) (taylor inf cosTheta) (#s(alt (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (patch (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (* (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (* (/ (+ (* 1/16 (* (sqrt (pow cosTheta 5)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* 1/16 (/ (pow cosTheta 2) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 4) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* 1/2 (* (sqrt cosTheta) (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))))))) (pow cosTheta 6)) (sqrt (PI)))) (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (* (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(alt (* -2 cosTheta) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ cosTheta (PI))) (sqrt -2)) (taylor inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) (taylor inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ()) |
#s(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))))) (taylor inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) #<representation binary32>) () ())) ()) |
#s(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)))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) #<representation binary32>) () ())) ()) |
#s(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))))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (* cosTheta (PI))) (sqrt -1/2)) (taylor inf cosTheta) (#s(alt (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (patch (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))) (taylor inf cosTheta) (#s(alt (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (patch (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))) (taylor inf cosTheta) (#s(alt (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (patch (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #<representation binary32>) () ())) ()) |
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#s(alt (* (sqrt (* cosTheta (PI))) (* (sqrt -1) (sqrt 1/2))) (taylor -inf cosTheta) (#s(alt (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (patch (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2))))))) (taylor -inf cosTheta) (#s(alt (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (patch (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2)))))))) (taylor -inf cosTheta) (#s(alt (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (patch (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (+ (* -1/64 (/ (* cosTheta (PI)) (pow (sqrt 1/2) 2))) (* 1/16 (PI)))) (sqrt 1/2)))) (* -1/16 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2))))) (pow cosTheta 3))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2)))))))) (taylor -inf cosTheta) (#s(alt (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (patch (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #<representation binary32>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | c | @ | 0 | ((* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta))) (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI)))) (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/ 1 (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI))))) (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (- (* c c) 1) (/ 1 (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI))))) (* (/ 1 (+ c 1)) (sqrt (PI))) (- (- 1 cosTheta) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) |
| 36.0ms | cosTheta | @ | inf | ((* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta))) (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI)))) (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/ 1 (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI))))) (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (- (* c c) 1) (/ 1 (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI))))) (* (/ 1 (+ c 1)) (sqrt (PI))) (- (- 1 cosTheta) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) |
| 36.0ms | cosTheta | @ | -inf | ((* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta))) (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI)))) (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/ 1 (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI))))) (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (- (* c c) 1) (/ 1 (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI))))) (* (/ 1 (+ c 1)) (sqrt (PI))) (- (- 1 cosTheta) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) |
| 26.0ms | cosTheta | @ | 0 | ((* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta))) (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI)))) (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/ 1 (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI))))) (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (- (* c c) 1) (/ 1 (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI))))) (* (/ 1 (+ c 1)) (sqrt (PI))) (- (- 1 cosTheta) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) |
| 22.0ms | c | @ | inf | ((* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta))) (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI)))) (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/ 1 (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI))))) (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (- (* c c) 1) (/ 1 (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI))))) (* (/ 1 (+ c 1)) (sqrt (PI))) (- (- 1 cosTheta) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1551 | 23408 |
| 1 | 5142 | 21803 |
| 0 | 8285 | 20813 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))) |
(+ (* -1 (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) |
(+ (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) |
(+ (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* c (+ (* -1 (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) |
(* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) |
(+ (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (* (* c (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (sqrt (/ 1 (PI))))) |
(+ (* c (+ (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (* (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) |
(+ (* c (+ (* c (+ (* (sqrt (/ 1 (PI))) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (* (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))))) (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) |
(+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) |
(+ (sqrt (PI)) (+ (* -1 (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 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))))))) |
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(+ 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)))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
1 |
(+ 1 c) |
(+ 1 c) |
(+ 1 c) |
(/ 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 (* (/ (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)))))) |
(* -1 (* (sqrt (/ 1 (PI))) (+ (* -1 (sqrt (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))))) |
(+ c (* -1 (* (sqrt (/ 1 (PI))) (+ (* -1 (sqrt (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))))) |
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(* (/ 1 c) (sqrt (PI))) |
(/ (+ (sqrt (PI)) (* -1 (* (/ 1 c) (sqrt (PI))))) c) |
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(/ (+ (sqrt (PI)) (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (+ (* -1 (* (/ 1 (pow c 3)) (sqrt (PI)))) (* (/ 1 (pow c 2)) (sqrt (PI)))))) c) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))) |
(* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c)) |
(* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c))) c)) |
(* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c))) c))) c)) |
c |
(* -1 (* c (- (* -1 (* (/ (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) c) (sqrt (/ 1 (PI))))) 1))) |
(* -1 (* c (- (* -1 (/ (+ (* -1 (* (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) c) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) c) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) c)) (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) c)) 1))) |
(sqrt (PI)) |
(+ (sqrt (PI)) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) |
(+ (sqrt (PI)) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c))) |
(+ (sqrt (PI)) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) 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)) |
(/ 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)) |
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))) |
c |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 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)) |
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))) |
c |
(* -1 (* c (- (* (/ (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (sqrt (PI))) c) (sqrt (/ 1 (PI)))) 1))) |
(* -1 (* c (- (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (sqrt (PI))))) (* (/ (+ (sqrt (PI)) (* -1 (sqrt (PI)))) c) (sqrt (/ 1 (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (sqrt (PI))))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (* -1 (sqrt (PI)))))) (* -1 (* (/ (+ (sqrt (PI)) (* -1 (sqrt (PI)))) c) (sqrt (/ 1 (PI)))))) c))) c)) 1))) |
(/ 1 c) |
(* -1 (/ (- (* (/ (- (sqrt (/ 1 (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta)))))) c) (sqrt (PI))) 1) c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (* (sqrt (PI)) (- (sqrt (/ 1 (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta)))))))) (* -1 (* (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (sqrt (/ 1 (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c) (sqrt (PI))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (* (sqrt (PI)) (- (sqrt (/ 1 (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta)))))))) (* -1 (/ (+ (* -1 (* (/ (+ (* (sqrt (/ 1 (PI))) (* (+ (* -1 (sqrt (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (- (sqrt (/ 1 (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (sqrt (/ 1 (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) (sqrt (PI)))) (* (sqrt (PI)) (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (sqrt (/ 1 (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))) c))) c)) 1) c)) |
(* (pow c 2) (sqrt (PI))) |
(* (pow c 2) (+ (sqrt (PI)) (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (- 1 (* 2 cosTheta)))))) |
(* (pow c 2) (+ (sqrt (PI)) (* -1 (/ (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) c))) c)))) |
(* (pow c 2) (+ (sqrt (PI)) (* -1 (/ (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) c))) c)))) |
(pow c 2) |
(* (pow c 2) (- 1 (/ 1 (pow c 2)))) |
(* (pow c 2) (- 1 (/ 1 (pow c 2)))) |
(* (pow c 2) (- 1 (/ 1 (pow c 2)))) |
(/ 1 c) |
(* -1 (/ (- (* (/ (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c) (sqrt (PI))) 1) c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))) c) (sqrt (PI)))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) c) (sqrt (PI)))) c))) c)) 1) c)) |
(* (/ 1 c) (sqrt (PI))) |
(* -1 (/ (+ (* -1 (sqrt (PI))) (* (/ 1 c) (sqrt (PI)))) c)) |
(* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* (/ 1 c) (sqrt (PI)))) c))) c)) |
(* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* (/ 1 c) (sqrt (PI)))) c))) c))) c)) |
(/ 1 (* cosTheta (+ 1 c))) |
(/ (+ (* -1 (/ cosTheta (+ 1 c))) (/ 1 (+ 1 c))) cosTheta) |
(/ (+ (* cosTheta (- (* -3/2 (/ cosTheta (+ 1 c))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/ (+ (* cosTheta (- (* cosTheta (- (* 1/2 (/ cosTheta (+ 1 c))) (* 3/2 (/ 1 (+ 1 c))))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* (* cosTheta (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* 1/2 (* cosTheta (sqrt (/ 1 (PI))))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))))) cosTheta) |
(/ 1 (* cosTheta (+ 1 c))) |
(/ (+ (* cosTheta (- (sqrt (PI)) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/ (+ (* cosTheta (- (+ (sqrt (PI)) (* -3/2 (/ cosTheta (+ 1 c)))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/ (+ (* cosTheta (- (+ (sqrt (PI)) (* cosTheta (- (* 1/2 (/ cosTheta (+ 1 c))) (* 3/2 (/ 1 (+ 1 c)))))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/ 1 cosTheta) |
(/ (+ 1 (* -1 cosTheta)) cosTheta) |
(/ (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) cosTheta) |
(/ (+ 1 (* cosTheta (- (* cosTheta (- (* 1/2 cosTheta) 3/2)) 1))) cosTheta) |
(* 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))))))))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* (/ 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) |
(* 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 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 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) |
(* (/ 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) |
(* 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 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 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))) 1)) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (- (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))) 1))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* (* cosTheta (- (/ c (- c 1)) (+ 1/2 (/ 1 (- c 1))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (- (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))) 1))))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* (* cosTheta (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (sqrt (PI))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* (sqrt (PI)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (* (* cosTheta (- 3/2 (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1)))) (sqrt (PI))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* cosTheta (+ (* (sqrt (PI)) (- 3/2 (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1)))) (* (* cosTheta (- (+ 1/2 (/ 1 (- c 1))) (+ (/ c (- c 1)) (+ (/ (* (+ (* -1 (- c 1)) (* -1/2 (- c 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 3/2 (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1)))) (- c 1)))))) (sqrt (PI))))) (* (sqrt (PI)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))))))) |
(/ (- c 1) cosTheta) |
(/ (- (+ c (* cosTheta (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))))) 1) cosTheta) |
(/ (- (+ c (* cosTheta (+ (* -1 (- c 1)) (+ (* cosTheta (+ (* -1 (- c 1)) (* -1/2 (- c 1)))) (* (sqrt (PI)) (- (pow c 2) 1)))))) 1) cosTheta) |
(/ (- (+ c (* cosTheta (+ (* -1 (- c 1)) (+ (* cosTheta (+ (* -1 (- c 1)) (+ (* -1/2 (- c 1)) (* cosTheta (- (+ c (* -1/2 (- c 1))) 1))))) (* (sqrt (PI)) (- (pow c 2) 1)))))) 1) cosTheta) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* (* cosTheta (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (sqrt (PI)))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))) (* (* cosTheta (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2))))) (sqrt (PI))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))) (* cosTheta (+ (* -1 (* (* cosTheta (+ 1/2 (+ (* 3/2 (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (* (+ 1 c) (* (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2)))) (- (sqrt (PI)) (/ 1 (+ 1 c)))))))) (sqrt (PI)))) (* (sqrt (PI)) (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2))))))))))) |
1 |
(+ 1 (* -2 cosTheta)) |
(+ 1 (* -2 cosTheta)) |
(+ 1 (* -2 cosTheta)) |
(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)))))))))) |
(* (/ 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) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (* cosTheta (+ (PI) (* -4 (PI)))) (sqrt (/ 1 (PI))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* -1/2 (* (* cosTheta (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI)))))) (sqrt (/ 1 (PI))))))))))) |
(* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))) |
(+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) |
(* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))))) |
(+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) |
(+ (sqrt (PI)) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))) |
(+ (sqrt (PI)) (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) |
(+ (sqrt (PI)) (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) |
(* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (exp (pow cosTheta 2)))) |
(+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (exp (pow cosTheta 2))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (exp (pow cosTheta 2)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (exp (pow cosTheta 2))))))) |
(/ 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)))))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* (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 (+ 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 (+ 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)))))))) |
(* (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))))) |
(* (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 (+ 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 (+ 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)))))))) |
(* (sqrt (/ 1 (PI))) (/ (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (- c 1))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (PI))) (/ (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (- 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 (PI))) (/ (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (- 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 (PI))) (/ (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (- c 1)))))) |
(* (sqrt (PI)) (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))))) |
(+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2))))) (* (sqrt (PI)) (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))))))) |
(+ (* -1 (* (/ (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt -2) 2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 3)))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2)))))) (pow cosTheta 4)) (sqrt (PI)))) (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2))))) (* (sqrt (PI)) (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))))))) |
(+ (* -1 (* (/ (+ (* -1/2 (* (sqrt cosTheta) (/ (* (exp (* -1 (pow cosTheta 2))) (* (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt -2) 2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 3)))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2)))))) (- c 1))) (* (sqrt -2) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))))))) (+ (* 1/16 (* (sqrt (pow cosTheta 5)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 5) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt -2) 4) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 3)))))) (pow cosTheta 6)) (sqrt (PI)))) (+ (* -1 (* (/ (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt -2) 2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 3)))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2)))))) (pow cosTheta 4)) (sqrt (PI)))) (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2))))) (* (sqrt (PI)) (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))))))))) |
(+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) |
(+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (sqrt -2)))) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (sqrt -2)))) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (sqrt -2)))) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))))))) |
(* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) |
(+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) |
(+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (* (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI))))) |
(+ (* -1 (* (/ (+ (* 1/16 (* (sqrt (pow cosTheta 5)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* 1/16 (/ (pow cosTheta 2) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 4) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* 1/2 (* (sqrt cosTheta) (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))))))) (pow cosTheta 6)) (sqrt (PI)))) (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (* (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI)))))) |
(* -2 cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* (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)))))) |
(* (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))))) |
(* (sqrt (* cosTheta (PI))) (sqrt -1/2)) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))) |
(* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))))) |
(* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c))))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (+ 1 c)))))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))) (+ (* -1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 5) (+ 1 c)))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (+ 1 c))))))))) |
(* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2))))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 5))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))))))))) |
(+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) |
(+ (sqrt (PI)) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))))) |
(+ (sqrt (PI)) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (+ 1 c))))))))) |
(+ (sqrt (PI)) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))) (+ (* -1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 5) (+ 1 c)))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (+ 1 c)))))))))) |
(* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2)))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3))))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2))))) (+ (* -1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 5))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))))))) |
(/ 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))))))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* -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))))) |
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(+ (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2))))))) (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))))))) |
(+ (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) (* (/ (- (* -1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 3)))))) (* 1/8 (* (sqrt (pow cosTheta 3)) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI))))) |
(+ (* -1 (* (/ (+ (* -1/2 (* (sqrt cosTheta) (/ (* (sqrt -1) (- (* -1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 3)))))) (* 1/8 (* (sqrt (pow cosTheta 3)) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2))))))))) (* (exp (pow cosTheta 2)) (* (sqrt 2) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))))))))) (+ (* -1/16 (* (sqrt (pow cosTheta 5)) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 5) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2))))))) (* 1/16 (/ (pow cosTheta 2) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 4) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 3)))))))) (pow cosTheta 6)) (sqrt (PI)))) (+ (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) (* (/ (- (* -1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 3)))))) (* 1/8 (* (sqrt (pow cosTheta 3)) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI)))))) |
(* -2 cosTheta) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(* -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 (* (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))))))) |
(* (sqrt (* cosTheta (PI))) (* (sqrt -1) (sqrt 1/2))) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2))))))) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2)))))))) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (+ (* -1/64 (/ (* cosTheta (PI)) (pow (sqrt 1/2) 2))) (* 1/16 (PI)))) (sqrt 1/2)))) (* -1/16 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2))))) (pow cosTheta 3))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2)))))))) |
| Outputs |
|---|
(* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))) |
(/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) |
(+ (* -1 (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) |
(*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) |
(+ (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) |
(fma.f32 (*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (/.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) c (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))) |
(+ (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* c (+ (* -1 (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) |
(fma.f32 (fma.f32 (*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) c (/.f32 (neg.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))) c (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))) |
(* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) |
(*.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (* (* c (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (sqrt (/ 1 (PI))))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 (+.f32 #s(literal 0 binary32) (sqrt.f32 (PI.f32))) c (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) |
(+ (* c (+ (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (* (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) |
(fma.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal 0 binary32) c (+.f32 #s(literal 0 binary32) (sqrt.f32 (PI.f32))))) c)) |
(+ (* c (+ (* c (+ (* (sqrt (/ 1 (PI))) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (* (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))))) (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) |
(fma.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal 0 binary32) c #s(literal 0 binary32))) c (*.f32 (+.f32 #s(literal 0 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)) |
(+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) |
(fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))) |
(+ (sqrt (PI)) (+ (* -1 (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) |
(fma.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (PI.f32))) |
(+ (sqrt (PI)) (+ (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) |
(+.f32 (sqrt.f32 (PI.f32)) (fma.f32 (*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (/.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) c (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)))) |
(+ (sqrt (PI)) (+ (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* c (+ (* -1 (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) |
(+.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) c (/.f32 (neg.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))) c (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)))) |
(/ 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 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) 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 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) 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 (-.f32 (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))) c (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) 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 (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 4 binary32)))) c (/.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))) c (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) 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 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) 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 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 c (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) 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))))))) |
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-1 |
#s(literal -1 binary32) |
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(- (pow c 2) 1) |
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(* c (+ 1 (+ (* (/ (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) c) (sqrt (/ 1 (PI)))) (+ (* (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (pow c 2)) (sqrt (/ 1 (PI)))) (* (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (pow c 3)) (sqrt (/ 1 (PI)))))))) |
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(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(+ (sqrt (PI)) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) |
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(+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* (pow c 2) (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))) |
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(+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* (pow c 2) (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))) (* (/ 1 (* (pow c 3) (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) |
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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) |
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(/ (- (+ 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) |
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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) |
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(/ (- (+ 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 (/.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 c c)) #s(literal 1 binary32)) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.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) |
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c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
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(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
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(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 (+.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c) |
c |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #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) |
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(/ (- (+ 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 (/.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 c c)) #s(literal 1 binary32)) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.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) |
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c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
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(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 (+.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
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c |
(* c (+ 1 (* (/ (- (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))) (* -1 (sqrt (PI)))) c) (sqrt (/ 1 (PI)))))) |
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(* c (+ 1 (+ (* (/ (- (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))) (* -1 (sqrt (PI)))) c) (sqrt (/ 1 (PI)))) (* (/ (- (+ (* -1 (sqrt (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* -1 (- (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))) (* -1 (sqrt (PI)))))) (pow c 2)) (sqrt (/ 1 (PI))))))) |
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(* c (+ 1 (+ (* (/ (- (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))) (* -1 (sqrt (PI)))) c) (sqrt (/ 1 (PI)))) (+ (* (/ (- (+ (* -1 (sqrt (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* -1 (- (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))) (* -1 (sqrt (PI)))))) (pow c 2)) (sqrt (/ 1 (PI)))) (* (/ (- (+ (* -1 (sqrt (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* -1 (- (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))) (* -1 (sqrt (PI)))))) (pow c 3)) (sqrt (/ 1 (PI)))))))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) c) (/.f32 (fma.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (*.f32 c c))) (/.f32 (fma.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (pow.f32 c #s(literal 3 binary32)))) #s(literal 1 binary32)) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ (+ 1 (* (/ (- (* -1 (sqrt (/ 1 (PI)))) (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta))))) c) (sqrt (PI)))) c) |
(/.f32 (fma.f32 (/.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 (PI.f32) cosTheta)) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))))) c) (sqrt.f32 (PI.f32)) #s(literal 1 binary32)) c) |
(/ (+ 1 (+ (* -1 (* (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (* -1 (sqrt (/ 1 (PI)))) (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta)))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (pow c 2)) (sqrt (PI)))) (* (/ (- (* -1 (sqrt (/ 1 (PI)))) (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta))))) c) (sqrt (PI))))) c) |
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c |
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(sqrt (PI)) |
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(/ 1 c) |
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(/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c) (sqrt.f32 (PI.f32)) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))) c) (sqrt (PI)))) c)) 1) c)) |
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(* -1 (/ (- (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) c) (sqrt (PI)))) c))) c)) 1) c)) |
(/.f32 (-.f32 (/.f32 (neg.f32 (fma.f32 (+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (PI.f32)) (/.f32 (-.f32 (*.f32 (/.f32 (-.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 (-.f32 (fma.f32 (*.f32 (+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 0 binary32) (+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) c) (sqrt.f32 (PI.f32))) (*.f32 (-.f32 (fma.f32 (*.f32 (+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (sqrt.f32 (PI.f32)))) c))) (neg.f32 c)) #s(literal 1 binary32)) (neg.f32 c)) |
(* (/ 1 c) (sqrt (PI))) |
(/.f32 (sqrt.f32 (PI.f32)) c) |
(* -1 (/ (+ (* -1 (sqrt (PI))) (* (/ 1 c) (sqrt (PI)))) c)) |
(/.f32 (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (sqrt.f32 (PI.f32))) (neg.f32 c)) |
(* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* (/ 1 c) (sqrt (PI)))) c))) c)) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (sqrt.f32 (PI.f32))) (neg.f32 c)) (sqrt.f32 (PI.f32))) (neg.f32 c)) |
(* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* (/ 1 c) (sqrt (PI)))) c))) c))) c)) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (sqrt.f32 (PI.f32))) (neg.f32 c)) (sqrt.f32 (PI.f32))) (neg.f32 c)) (sqrt.f32 (PI.f32))) (neg.f32 c)) |
(/ 1 (* cosTheta (+ 1 c))) |
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta)) |
(/ (+ (* -1 (/ cosTheta (+ 1 c))) (/ 1 (+ 1 c))) cosTheta) |
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32)))) cosTheta) |
(/ (+ (* cosTheta (- (* -3/2 (/ cosTheta (+ 1 c))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/.f32 (fma.f32 (fma.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta) |
(/ (+ (* cosTheta (- (* cosTheta (- (* 1/2 (/ cosTheta (+ 1 c))) (* 3/2 (/ 1 (+ 1 c))))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32))) (/.f32 #s(literal -3/2 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (/.f32 #s(literal -1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* (* cosTheta (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (sqrt (/ 1 (PI))))) cosTheta) |
(/.f32 (*.f32 (fma.f32 (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))))) cosTheta) |
(/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)) (*.f32 #s(literal -3/2 binary32) cosTheta))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* 1/2 (* cosTheta (sqrt (/ 1 (PI))))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))))) cosTheta) |
(/.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 c #s(literal 1 binary32))) (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal 1/2 binary32) cosTheta #s(literal -3/2 binary32))) cosTheta)) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ 1 (* cosTheta (+ 1 c))) |
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta)) |
(/ (+ (* cosTheta (- (sqrt (PI)) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/.f32 (fma.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta) |
(/ (+ (* cosTheta (- (+ (sqrt (PI)) (* -3/2 (/ cosTheta (+ 1 c)))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta) |
(/ (+ (* cosTheta (- (+ (sqrt (PI)) (* cosTheta (- (* 1/2 (/ cosTheta (+ 1 c))) (* 3/2 (/ 1 (+ 1 c)))))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32))) (/.f32 #s(literal -3/2 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta) |
(/ 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 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) cosTheta #s(literal 1 binary32)) cosTheta) |
(/ (+ 1 (* cosTheta (- (* cosTheta (- (* 1/2 cosTheta) 3/2)) 1))) cosTheta) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) cosTheta #s(literal -3/2 binary32)) cosTheta #s(literal -1 binary32)) cosTheta #s(literal 1 binary32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(* 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 (fma.f32 (neg.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) cosTheta (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* 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 (fma.f32 (fma.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))))) cosTheta (-.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))))) cosTheta (*.f32 (neg.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* (/ 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 (neg.f32 cosTheta) (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) |
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.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 (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(* 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 (fma.f32 (neg.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) cosTheta (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* 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 (fma.f32 (fma.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))))) cosTheta (-.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))))) cosTheta (*.f32 (neg.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* (/ 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 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (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 (+.f32 (+.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) #s(literal 1 binary32)) cosTheta (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 (+.f32 (+.f32 c #s(literal 1 binary32)) (fma.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* (/ 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 (neg.f32 cosTheta) (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)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1 binary32))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) 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 (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1/2 binary32))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* (/ 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 (neg.f32 cosTheta) (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) |
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.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 (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(* 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 (fma.f32 (neg.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) cosTheta (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* 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 (fma.f32 (fma.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))))) cosTheta (-.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))))) cosTheta (*.f32 (neg.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* (/ 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 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (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 (+.f32 (+.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) #s(literal 1 binary32)) cosTheta (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 (+.f32 (+.f32 c #s(literal 1 binary32)) (fma.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))) 1)) (sqrt (/ 1 (PI))))) cosTheta) |
(/.f32 (*.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)) #s(literal -1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (- (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))) 1))))) cosTheta) |
(/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta (fma.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)) #s(literal -1 binary32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* (* cosTheta (- (/ c (- c 1)) (+ 1/2 (/ 1 (- c 1))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (- (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))) 1))))) cosTheta) |
(/.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 (-.f32 (-.f32 (/.f32 c (-.f32 c #s(literal 1 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 c #s(literal 1 binary32)))) cosTheta #s(literal -3/2 binary32))) cosTheta (*.f32 (fma.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* (* cosTheta (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (sqrt (PI))))) |
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* (sqrt (PI)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (* (* cosTheta (- 3/2 (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1)))) (sqrt (PI))))))) |
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (-.f32 c #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (-.f32 c #s(literal 1 binary32)))) cosTheta (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* cosTheta (+ (* (sqrt (PI)) (- 3/2 (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1)))) (* (* cosTheta (- (+ 1/2 (/ 1 (- c 1))) (+ (/ c (- c 1)) (+ (/ (* (+ (* -1 (- c 1)) (* -1/2 (- c 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 3/2 (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1)))) (- c 1)))))) (sqrt (PI))))) (* (sqrt (PI)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 c #s(literal 1 binary32))) #s(literal 1/2 binary32)) (/.f32 c (-.f32 c #s(literal 1 binary32)))) (fma.f32 (-.f32 (*.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (-.f32 c #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (-.f32 c #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (-.f32 c #s(literal 1 binary32)))) (-.f32 c #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 c #s(literal 1 binary32)) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (-.f32 c #s(literal 1 binary32)))))) cosTheta (-.f32 #s(literal 3/2 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (-.f32 c #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (-.f32 c #s(literal 1 binary32)))))) cosTheta (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(/ (- c 1) cosTheta) |
(/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) |
(/ (- (+ c (* cosTheta (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))))) 1) cosTheta) |
(/.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (-.f32 c #s(literal 1 binary32))) cosTheta c) #s(literal 1 binary32)) cosTheta) |
(/ (- (+ c (* cosTheta (+ (* -1 (- c 1)) (+ (* cosTheta (+ (* -1 (- c 1)) (* -1/2 (- c 1)))) (* (sqrt (PI)) (- (pow c 2) 1)))))) 1) cosTheta) |
(/.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 (-.f32 c #s(literal 1 binary32)) #s(literal -3/2 binary32)) cosTheta (*.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (-.f32 c #s(literal 1 binary32))) cosTheta c) #s(literal 1 binary32)) cosTheta) |
(/ (- (+ c (* cosTheta (+ (* -1 (- c 1)) (+ (* cosTheta (+ (* -1 (- c 1)) (+ (* -1/2 (- c 1)) (* cosTheta (- (+ c (* -1/2 (- c 1))) 1))))) (* (sqrt (PI)) (- (pow c 2) 1)))))) 1) cosTheta) |
(/.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 c #s(literal 1 binary32)) #s(literal -3/2 binary32) (*.f32 (-.f32 (fma.f32 (-.f32 c #s(literal 1 binary32)) #s(literal -1/2 binary32) c) #s(literal 1 binary32)) cosTheta)) cosTheta (*.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (-.f32 c #s(literal 1 binary32))) cosTheta c) #s(literal 1 binary32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* (* cosTheta (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (sqrt (PI)))))) |
(*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))))) (sqrt.f32 (PI.f32)))) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))) (* (* cosTheta (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2))))) (sqrt (PI))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (+.f32 #s(literal 3/2 binary32) (*.f32 (pow.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))) (* cosTheta (+ (* -1 (* (* cosTheta (+ 1/2 (+ (* 3/2 (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (* (+ 1 c) (* (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2)))) (- (sqrt (PI)) (/ 1 (+ 1 c)))))))) (sqrt (PI)))) (* (sqrt (PI)) (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2))))))))))) |
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1 |
#s(literal 1 binary32) |
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(+ (* -1 (* (/ (+ (* 1/16 (* (sqrt (pow cosTheta 5)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* 1/16 (/ (pow cosTheta 2) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 4) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* 1/2 (* (sqrt cosTheta) (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))))))) (pow cosTheta 6)) (sqrt (PI)))) (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (* (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI)))))) |
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(* -2 cosTheta) |
(*.f32 #s(literal -2 binary32) cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) cosTheta) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -2 binary32))) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -2 binary32)))) cosTheta) |
(* 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 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))))) cosTheta) |
(* 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 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))) (PI.f32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -2 binary32)))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) |
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -2 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 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))) (PI.f32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -2 binary32)))))) |
(* (sqrt (* cosTheta (PI))) (sqrt -1/2)) |
(*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sqrt.f32 (*.f32 (PI.f32) cosTheta))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1/2 binary32))) #s(literal -1/8 binary32))) cosTheta) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1/2 binary32)))) cosTheta) |
(* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))) (PI.f32)))) (/.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) cosTheta) #s(literal -1/2 binary32)) #s(literal 1/64 binary32) (*.f32 #s(literal 1/16 binary32) (PI.f32))) (sqrt.f32 #s(literal -1/2 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1/2 binary32))))) cosTheta) |
(* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) |
(*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 c #s(literal 1 binary32))) (/.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c))))))) |
(-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (+.f32 c #s(literal 1 binary32))))) (*.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 c #s(literal 1 binary32))) (/.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (+ 1 c)))))))) |
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(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
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(* -2 cosTheta) |
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(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
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(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
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(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
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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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(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
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(-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 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)))))) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 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))))))) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))) (PI.f32)))) (/.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 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
(* (sqrt (* cosTheta (PI))) (* (sqrt -1) (sqrt 1/2))) |
(*.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32))) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2))))))) |
(*.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32)))) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2)))))))) |
(*.f32 (-.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))) (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32)))) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (+ (* -1/64 (/ (* cosTheta (PI)) (pow (sqrt 1/2) 2))) (* 1/16 (PI)))) (sqrt 1/2)))) (* -1/16 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2))))) (pow cosTheta 3))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2)))))))) |
(*.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))) (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) cosTheta) #s(literal 1/2 binary32)) #s(literal -1/64 binary32) (*.f32 #s(literal 1/16 binary32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (*.f32 (PI.f32) cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32)))) (neg.f32 cosTheta)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 446 |
| 0 | 107 | 433 |
| 1 | 448 | 403 |
| 2 | 3659 | 403 |
| 0 | 8301 | 399 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) |
(/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) |
(+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) |
(/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
#s(approx (+ 1 c) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
(fma.f32 (-.f32 (*.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)) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) |
(-.f32 (*.f32 c c) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) |
(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) |
(/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) |
| Outputs |
|---|
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Compiled 71 390 to 7 054 computations (90.1% saved)
22 alts after pruning (18 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 844 | 13 | 1 857 |
| Fresh | 13 | 5 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 860 | 22 | 1 882 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.4% | (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) |
| 96.6% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) | |
| 96.6% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32)))) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) | |
| 93.5% | (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) | |
| ▶ | 93.5% | (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
| 98.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 96.7% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 96.9% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| ▶ | 97.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 97.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| ✓ | 97.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 97.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (-.f32 cosTheta (neg.f32 cosTheta))) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| ▶ | 98.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| ✓ | 97.4% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.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))))) |
| 93.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) | |
| 98.2% | (/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)))))) | |
| ▶ | 93.4% | (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
| 53.7% | (*.f32 (/.f32 (/.f32 (sqrt.f32 (PI.f32)) (+.f32 c #s(literal 1 binary32))) (-.f32 (PI.f32) (pow.f32 (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32)))) (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))) | |
| 97.0% | #s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) | |
| 93.7% | #s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta)) | |
| ✓ | 94.0% | #s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
| ✓ | 5.0% | #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
Compiled 834 to 579 computations (30.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ 1 c) #s(literal 1 binary32)) | |
| cost-diff | 0 | (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.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 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| cost-diff | 160 | (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.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) c) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| cost-diff | 160 | (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) | |
| cost-diff | 192 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) | |
| cost-diff | 64 | (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta) | |
| cost-diff | 160 | (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) | |
| cost-diff | 160 | (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) | |
| cost-diff | 192 | (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) | |
| 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))) cosTheta) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) | |
| cost-diff | 0 | (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) | |
| cost-diff | 64 | (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) | |
| cost-diff | 192 | (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) | |
| cost-diff | 256 | (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 680 |
| 0 | 120 | 668 |
| 1 | 208 | 640 |
| 2 | 426 | 634 |
| 3 | 1122 | 623 |
| 4 | 2645 | 607 |
| 5 | 5576 | 607 |
| 0 | 8379 | 568 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) |
(+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) |
(/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) |
(/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) |
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) |
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
#s(literal 1 binary32) |
cosTheta |
(pow.f32 (exp.f32 cosTheta) cosTheta) |
(exp.f32 cosTheta) |
(+.f32 c #s(literal 1 binary32)) |
c |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
#s(literal 1 binary32) |
#s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(/.f32 #s(literal 1 binary32) (PI.f32)) |
(PI.f32) |
cosTheta |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
#s(literal 1 binary32) |
(/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) |
#s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) |
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta)) |
(*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta) |
(+.f32 c #s(literal 1 binary32)) |
c |
cosTheta |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
#s(literal 1 binary32) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(+.f32 #s(literal 1 binary32) c) |
c |
(*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) |
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
#s(literal 1 binary32) |
(+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
#s(approx (+ 1 c) #s(literal 1 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) |
(*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta) |
(sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) |
(/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
(PI.f32) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
| Outputs |
|---|
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) |
(/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) |
(fma.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) |
(+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) |
(fma.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) |
(/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) |
(/.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 c cosTheta cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta)) |
(/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) |
(/.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) |
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) |
(/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) |
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
(sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
#s(literal 1 binary32) |
cosTheta |
(pow.f32 (exp.f32 cosTheta) cosTheta) |
(exp.f32 cosTheta) |
(+.f32 c #s(literal 1 binary32)) |
c |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
#s(literal 1 binary32) |
#s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(/.f32 #s(literal 1 binary32) (PI.f32)) |
(PI.f32) |
cosTheta |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta)))) (+.f32 c #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) |
(*.f32 (/.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta)))) |
#s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) |
#s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) |
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta)) |
(/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta)) |
(*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta) |
(fma.f32 c cosTheta cosTheta) |
(+.f32 c #s(literal 1 binary32)) |
c |
cosTheta |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) |
(/.f32 (sqrt.f32 (PI.f32)) (+.f32 c #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32)))) (+.f32 c #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(fma.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32)))) (+.f32 c #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) c) |
(+.f32 c #s(literal 1 binary32)) |
c |
(*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
(/.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta)) |
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) |
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32)))) |
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))) |
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (sqrt.f32 (/.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))))) #s(approx (+ 1 c) #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(+.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (sqrt.f32 (/.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))))) #s(approx (+ 1 c) #s(literal 1 binary32))) |
#s(approx (+ 1 c) #s(literal 1 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
(/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (sqrt.f32 (/.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) |
(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta) |
(*.f32 (sqrt.f32 (/.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) cosTheta) |
(sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) |
(sqrt.f32 (/.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) |
(/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) |
(/.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) |
(PI.f32) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) |
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.24609375 | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| accuracy | 0.28515625 | (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) | |
| accuracy | 0.3359375 | (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta) | |
| accuracy | 2.0988295805578905 | #s(approx (+ 1 c) #s(literal 1 binary32)) | |
| accuracy | 0.24609375 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| accuracy | 0.2936325195368841 | (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) | |
| accuracy | 0.3671875 | (*.f32 (sqrt.f32 (PI.f32)) cosTheta) | |
| accuracy | 0.5193176434029886 | #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) | |
| accuracy | 0.1015625 | (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) | |
| accuracy | 0.24609375 | (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) | |
| accuracy | 0.4403228807224233 | (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) | |
| accuracy | 1.6229425363156913 | #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) | |
| accuracy | 0.24609375 | (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) | |
| accuracy | 0.62890625 | (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) | |
| accuracy | 1.0 | (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) | |
| accuracy | 1.640929564292484 | #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) | |
| accuracy | 0.05078125 | (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) | |
| accuracy | 0.07421875 | (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) | |
| accuracy | 0.09765625 | (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) | |
| accuracy | 0.4606181875086457 | (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) |
| 212.0ms | 256× | 0 | valid |
Compiled 1 079 to 108 computations (90% saved)
ival-div: 64.0ms (33.6% of total)ival-mult: 48.0ms (25.2% of total)ival-pow: 25.0ms (13.1% of total)ival-add: 23.0ms (12.1% of total)ival-sub: 9.0ms (4.7% of total)ival-sqrt: 9.0ms (4.7% of total)ival-neg: 7.0ms (3.7% of total)ival-exp: 5.0ms (2.6% of total)ival-pi: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) (patch (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (patch (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) (patch (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) (patch (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) (patch (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #<representation binary32>) () ()) |
#s(alt #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (patch #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) #<representation binary32>) () ()) |
#s(alt (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (patch (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (patch (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) #<representation binary32>) () ()) |
#s(alt (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta) (patch (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta) #<representation binary32>) () ()) |
#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (patch (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal 1 binary32) c) (patch (+.f32 #s(literal 1 binary32) c) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ 1 c) #s(literal 1 binary32)) (patch #s(approx (+ 1 c) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ()) |
#s(alt #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (patch #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) #<representation binary32>) () ()) |
#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #<representation binary32>) () ()) |
#s(alt (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ()) |
#s(alt (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (patch (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #<representation binary32>) () ()) |
#s(alt (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta) (patch (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (patch (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))) (taylor 0 c) (#s(alt (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) (patch (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (taylor 0 c) (#s(alt (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) (patch (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (taylor 0 c) (#s(alt (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) (patch (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* c (+ (* -1 (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (taylor 0 c) (#s(alt (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) (patch (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (taylor 0 c) (#s(alt (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (patch (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
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#s(alt (* cosTheta (sqrt (PI))) (taylor 0 cosTheta) (#s(alt (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) (patch (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ (sqrt (PI)) (* -1 (* (* cosTheta (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (sqrt (PI)))))) (taylor 0 cosTheta) (#s(alt (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) (patch (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
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#s(alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))) (* cosTheta (+ (* -1 (* (* cosTheta (+ 1/2 (+ (* 3/2 (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (* (+ 1 c) (* (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2)))) (- (sqrt (PI)) (/ 1 (+ 1 c)))))))) (sqrt (PI)))) (* (sqrt (PI)) (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2))))))))))) (taylor 0 cosTheta) (#s(alt (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) (patch (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (sqrt (PI))) (taylor 0 cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) (patch (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #<representation binary32>) () ())) ()) |
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#s(alt (/ (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))) 1)) (sqrt (/ 1 (PI))))) cosTheta) (taylor 0 cosTheta) (#s(alt #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (patch #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) #<representation binary32>) () ())) ()) |
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#s(alt (+ (sqrt (PI)) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))) (taylor inf cosTheta) (#s(alt (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (patch (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (PI)) (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) (taylor inf cosTheta) (#s(alt (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (patch (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (PI)) (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (taylor inf cosTheta) (#s(alt (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (patch (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))) (taylor inf cosTheta) (#s(alt (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) (patch (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) (taylor inf cosTheta) (#s(alt (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) (patch (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (taylor inf cosTheta) (#s(alt (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) (patch (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) (taylor inf cosTheta) (#s(alt (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) (patch (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) (patch (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) (patch (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (* (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI))))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) (patch (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (* (/ (+ (* 1/16 (* (sqrt (pow cosTheta 5)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* 1/16 (/ (pow cosTheta 2) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 4) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* 1/2 (* (sqrt cosTheta) (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))))))) (pow cosTheta 6)) (sqrt (PI)))) (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (* (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI)))))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) (patch (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (PI)) (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) (patch (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2))))) (* (sqrt (PI)) (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) (patch (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (* (/ (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt -2) 2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 3)))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2)))))) (pow cosTheta 4)) (sqrt (PI)))) (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2))))) (* (sqrt (PI)) (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) (patch (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (* (/ (+ (* -1/2 (* (sqrt cosTheta) (/ (* (exp (* -1 (pow cosTheta 2))) (* (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt -2) 2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 3)))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2)))))) (- c 1))) (* (sqrt -2) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))))))) (+ (* 1/16 (* (sqrt (pow cosTheta 5)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 5) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt -2) 4) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 3)))))) (pow cosTheta 6)) (sqrt (PI)))) (+ (* -1 (* (/ (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt -2) 2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 3)))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2)))))) (pow cosTheta 4)) (sqrt (PI)))) (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2))))) (* (sqrt (PI)) (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) (patch (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (PI))) (/ (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (- c 1))) (taylor inf cosTheta) (#s(alt #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (patch #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (PI))) (/ (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (- c 1)))) (taylor inf cosTheta) (#s(alt #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (patch #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) #<representation binary32>) () ())) ()) |
#s(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 (PI))) (/ (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (- c 1))))) (taylor inf cosTheta) (#s(alt #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (patch #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) #<representation binary32>) () ())) ()) |
#s(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 (PI))) (/ (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (- c 1)))))) (taylor inf cosTheta) (#s(alt #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (patch #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (patch (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (patch (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (patch (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (patch (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (* (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (* (/ (+ (* 1/16 (* (sqrt (pow cosTheta 5)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* 1/16 (/ (pow cosTheta 2) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 4) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* 1/2 (* (sqrt cosTheta) (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))))))) (pow cosTheta 6)) (sqrt (PI)))) (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (* (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ 1 c)) (taylor inf cosTheta) (#s(alt (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta) (patch (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ 1 c)) (taylor inf cosTheta) (#s(alt (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta) (patch (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ 1 c)) (taylor inf cosTheta) (#s(alt (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta) (patch (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ 1 c)) (taylor inf cosTheta) (#s(alt (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta) (patch (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 cosTheta) (taylor inf cosTheta) (#s(alt (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (patch (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (- (/ 1 cosTheta) 1)) (taylor inf cosTheta) (#s(alt (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (patch (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (- (/ 1 cosTheta) 1)) (taylor inf cosTheta) (#s(alt (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (patch (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (- (/ 1 cosTheta) 1)) (taylor inf cosTheta) (#s(alt (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (patch (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(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)))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(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))))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (patch (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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)))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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))))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(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)))))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ()) |
#s(alt (* -2 cosTheta) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) (taylor inf cosTheta) (#s(alt #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (patch #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (PI)) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))) (taylor inf cosTheta) (#s(alt #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (patch #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (PI)) (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) (taylor inf cosTheta) (#s(alt #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (patch #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (PI)) (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (taylor inf cosTheta) (#s(alt #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (patch #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #<representation binary32>) () ())) ()) |
#s(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)))) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #<representation binary32>) () ())) ()) |
#s(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))))) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (sqrt (/ 1 (PI)))) (taylor inf cosTheta) (#s(alt (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (patch (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (taylor inf cosTheta) (#s(alt (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (patch (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (taylor inf cosTheta) (#s(alt (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (patch (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (taylor inf cosTheta) (#s(alt (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (patch (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (* cosTheta (PI))) (sqrt -1/2)) (taylor inf cosTheta) (#s(alt (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta) (patch (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))) (taylor inf cosTheta) (#s(alt (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta) (patch (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))) (taylor inf cosTheta) (#s(alt (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta) (patch (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))))) (taylor inf cosTheta) (#s(alt (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta) (patch (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta) #<representation binary32>) () ())) ()) |
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (patch (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (patch (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) #<representation binary32>) () ())) ()) |
#s(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)))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (patch (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) #<representation binary32>) () ())) ()) |
#s(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))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (patch (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (taylor -inf cosTheta) (#s(alt (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) (patch (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c))))))) (taylor -inf cosTheta) (#s(alt (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) (patch (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (+ 1 c)))))))) (taylor -inf cosTheta) (#s(alt (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) (patch (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))) (+ (* -1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 5) (+ 1 c)))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (+ 1 c))))))))) (taylor -inf cosTheta) (#s(alt (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) (patch (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) (taylor -inf cosTheta) (#s(alt (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (patch (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (PI)) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))))) (taylor -inf cosTheta) (#s(alt (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (patch (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (PI)) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (+ 1 c))))))))) (taylor -inf cosTheta) (#s(alt (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (patch (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (sqrt (PI)) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))) (+ (* -1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 5) (+ 1 c)))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (+ 1 c)))))))))) (taylor -inf cosTheta) (#s(alt (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (patch (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))))) (taylor -inf cosTheta) (#s(alt (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) (patch (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2))))) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (taylor -inf cosTheta) (#s(alt (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) (patch (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | c | @ | -inf | ((/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1)) (/ (sqrt (PI)) (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1))) (/ 1 (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI))))) (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI)))) (/ 1 (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI))))) (* (/ 1 (+ c 1)) (sqrt (PI))) (* (+ c 1) cosTheta) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* 1 (- 1 cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (- (- 1 cosTheta) cosTheta) (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (sqrt (PI)) cosTheta) (/ (* 1 (- 1 cosTheta)) (* (sqrt (PI)) cosTheta)) (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta) (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta))) |
| 5.0ms | c | @ | 0 | ((/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1)) (/ (sqrt (PI)) (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1))) (/ 1 (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI))))) (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI)))) (/ 1 (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI))))) (* (/ 1 (+ c 1)) (sqrt (PI))) (* (+ c 1) cosTheta) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* 1 (- 1 cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (- (- 1 cosTheta) cosTheta) (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (sqrt (PI)) cosTheta) (/ (* 1 (- 1 cosTheta)) (* (sqrt (PI)) cosTheta)) (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta) (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta))) |
| 4.0ms | cosTheta | @ | -inf | ((/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1)) (/ (sqrt (PI)) (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1))) (/ 1 (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI))))) (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI)))) (/ 1 (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI))))) (* (/ 1 (+ c 1)) (sqrt (PI))) (* (+ c 1) cosTheta) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* 1 (- 1 cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (- (- 1 cosTheta) cosTheta) (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (sqrt (PI)) cosTheta) (/ (* 1 (- 1 cosTheta)) (* (sqrt (PI)) cosTheta)) (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta) (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta))) |
| 4.0ms | cosTheta | @ | inf | ((/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1)) (/ (sqrt (PI)) (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1))) (/ 1 (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI))))) (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI)))) (/ 1 (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI))))) (* (/ 1 (+ c 1)) (sqrt (PI))) (* (+ c 1) cosTheta) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* 1 (- 1 cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (- (- 1 cosTheta) cosTheta) (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (sqrt (PI)) cosTheta) (/ (* 1 (- 1 cosTheta)) (* (sqrt (PI)) cosTheta)) (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta) (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta))) |
| 2.0ms | cosTheta | @ | 0 | ((/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1)) (/ (sqrt (PI)) (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1))) (/ 1 (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI))))) (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI)))) (/ 1 (/ (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (+ c 1)) (sqrt (PI))))) (* (/ 1 (+ c 1)) (sqrt (PI))) (* (+ c 1) cosTheta) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* 1 (- 1 cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (- (- 1 cosTheta) cosTheta) (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (sqrt (PI)) cosTheta) (/ (* 1 (- 1 cosTheta)) (* (sqrt (PI)) cosTheta)) (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta) (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1505 | 25441 |
| 1 | 5002 | 22867 |
| 0 | 8994 | 21844 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))) |
(+ (* -1 (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) |
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(+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) |
(+ (sqrt (PI)) (+ (* -1 (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) |
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(+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) |
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(/ (+ 1 (+ (* -1 (* (/ (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c) (sqrt (PI)))) (+ (* -1 (* (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))) (pow c 2)) (sqrt (PI)))) (* -1 (* (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))))) (+ (* -1 (* (sqrt (/ 1 (PI))) (* (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (pow c 3)) (sqrt (PI))))))) c) |
(* (/ 1 c) (sqrt (PI))) |
(/ (+ (sqrt (PI)) (* -1 (* (/ 1 c) (sqrt (PI))))) c) |
(/ (+ (sqrt (PI)) (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* (/ 1 (pow c 2)) (sqrt (PI))))) c) |
(/ (+ (sqrt (PI)) (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (+ (* -1 (* (/ 1 (pow c 3)) (sqrt (PI)))) (* (/ 1 (pow c 2)) (sqrt (PI)))))) c) |
(* c cosTheta) |
(* c (+ cosTheta (/ cosTheta c))) |
(* c (+ cosTheta (/ cosTheta c))) |
(* c (+ cosTheta (/ cosTheta c))) |
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)))) |
(/ 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) |
c |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(/ 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) |
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 |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(sqrt (PI)) |
(+ (sqrt (PI)) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) |
(+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* (pow c 2) (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))) |
(+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* (pow c 2) (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))) (* (/ 1 (* (pow c 3) (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))) |
(* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c)) |
(* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c))) c)) |
(* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c))) c))) c)) |
(sqrt (PI)) |
(+ (sqrt (PI)) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) |
(+ (sqrt (PI)) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c))) |
(+ (sqrt (PI)) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c))) c))) |
(* c (sqrt (PI))) |
(* -1 (* c (+ (* -1 (sqrt (PI))) (* -1 (/ (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) c))))) |
(* -1 (* c (+ (* -1 (sqrt (PI))) (* -1 (/ (+ (sqrt (PI)) (+ (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) c)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) c))))) |
(* -1 (* c (+ (* -1 (sqrt (PI))) (* -1 (/ (+ (sqrt (PI)) (+ (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) c)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) c)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) c))))) |
(/ 1 c) |
(* -1 (/ (- (* (/ (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c) (sqrt (PI))) 1) c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))) c) (sqrt (PI)))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) c) (sqrt (PI)))) c))) c)) 1) c)) |
(/ 1 c) |
(* -1 (/ (- (* (/ (- (sqrt (/ 1 (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta)))))) c) (sqrt (PI))) 1) c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (* (sqrt (PI)) (- (sqrt (/ 1 (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta)))))))) (* -1 (* (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (sqrt (/ 1 (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c) (sqrt (PI))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (* (sqrt (PI)) (- (sqrt (/ 1 (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta)))))))) (* -1 (/ (+ (* -1 (* (/ (+ (* (sqrt (/ 1 (PI))) (* (+ (* -1 (sqrt (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (- (sqrt (/ 1 (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (sqrt (/ 1 (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) (sqrt (PI)))) (* (sqrt (PI)) (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (sqrt (/ 1 (PI))) (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* cosTheta (PI))) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))) c))) c)) 1) c)) |
c |
(* -1 (* c (- (* (/ (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (sqrt (PI))) c) (sqrt (/ 1 (PI)))) 1))) |
(* -1 (* c (- (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (sqrt (PI))))) (* (/ (+ (sqrt (PI)) (* -1 (sqrt (PI)))) c) (sqrt (/ 1 (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (sqrt (PI))))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (* -1 (sqrt (PI)))))) (* -1 (* (/ (+ (sqrt (PI)) (* -1 (sqrt (PI)))) c) (sqrt (/ 1 (PI)))))) c))) c)) 1))) |
c |
(* -1 (* c (- (* -1 (* (/ (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) c) (sqrt (/ 1 (PI))))) 1))) |
(* -1 (* c (- (* -1 (/ (+ (* -1 (* (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) c) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) c) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) c)) (* (sqrt (/ 1 (PI))) (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) c)) 1))) |
(/ 1 c) |
(* -1 (/ (- (* (/ (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c) (sqrt (PI))) 1) c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))) c) (sqrt (PI)))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) c) (sqrt (PI)))) c))) c)) 1) c)) |
(* (/ 1 c) (sqrt (PI))) |
(* -1 (/ (+ (* -1 (sqrt (PI))) (* (/ 1 c) (sqrt (PI)))) c)) |
(* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* (/ 1 c) (sqrt (PI)))) c))) c)) |
(* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* (/ 1 c) (sqrt (PI)))) c))) c))) c)) |
(* c cosTheta) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ cosTheta c))))) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ cosTheta c))))) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ cosTheta 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 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)) |
c |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 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)) |
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))) |
c |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(* c (+ 1 (/ 1 c))) |
(sqrt (PI)) |
(+ (sqrt (PI)) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) |
(+ (sqrt (PI)) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c))) |
(+ (sqrt (PI)) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c))) c))) |
(/ 1 (* cosTheta (+ 1 c))) |
(/ (+ (* -1 (/ cosTheta (+ 1 c))) (/ 1 (+ 1 c))) cosTheta) |
(/ (+ (* cosTheta (- (* -3/2 (/ cosTheta (+ 1 c))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/ (+ (* cosTheta (- (* cosTheta (- (* 1/2 (/ cosTheta (+ 1 c))) (* 3/2 (/ 1 (+ 1 c))))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/ 1 (* cosTheta (+ 1 c))) |
(/ (+ (* cosTheta (- (sqrt (PI)) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/ (+ (* cosTheta (- (+ (sqrt (PI)) (* -3/2 (/ cosTheta (+ 1 c)))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/ (+ (* cosTheta (- (+ (sqrt (PI)) (* cosTheta (- (* 1/2 (/ cosTheta (+ 1 c))) (* 3/2 (/ 1 (+ 1 c)))))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/ 1 cosTheta) |
(/ (+ 1 (* cosTheta (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))) cosTheta) |
(/ (+ 1 (* cosTheta (+ (* -3/2 cosTheta) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))))) cosTheta) |
(/ (+ 1 (* cosTheta (+ (* cosTheta (- (* 1/2 cosTheta) 3/2)) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* (* cosTheta (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (sqrt (PI)))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))) (* (* cosTheta (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2))))) (sqrt (PI))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))) (* cosTheta (+ (* -1 (* (* cosTheta (+ 1/2 (+ (* 3/2 (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (* (+ 1 c) (* (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2)))) (- (sqrt (PI)) (/ 1 (+ 1 c)))))))) (sqrt (PI)))) (* (sqrt (PI)) (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2))))))))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* (* cosTheta (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (sqrt (PI))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* (sqrt (PI)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (* (* cosTheta (- 3/2 (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1)))) (sqrt (PI))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* cosTheta (+ (* (sqrt (PI)) (- 3/2 (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1)))) (* (* cosTheta (- (+ 1/2 (/ 1 (- c 1))) (+ (/ c (- c 1)) (+ (/ (* (+ (* -1 (- c 1)) (* -1/2 (- c 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 3/2 (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1)))) (- c 1)))))) (sqrt (PI))))) (* (sqrt (PI)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))))))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))) 1)) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (- (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))) 1))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* (* cosTheta (- (/ c (- c 1)) (+ 1/2 (/ 1 (- c 1))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (- (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))) 1))))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* (* cosTheta (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* 1/2 (* cosTheta (sqrt (/ 1 (PI))))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* (* cosTheta (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (sqrt (PI)))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))) (* (* cosTheta (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2))))) (sqrt (PI))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))) (* cosTheta (+ (* -1 (* (* cosTheta (+ 1/2 (+ (* 3/2 (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (* (+ 1 c) (* (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2)))) (- (sqrt (PI)) (/ 1 (+ 1 c)))))))) (sqrt (PI)))) (* (sqrt (PI)) (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2))))))))))) |
(* cosTheta (+ 1 c)) |
(* cosTheta (+ 1 c)) |
(* cosTheta (+ 1 c)) |
(* cosTheta (+ 1 c)) |
(* (/ 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 |
(+ 1 (* -1 cosTheta)) |
(+ 1 (* -1 cosTheta)) |
(+ 1 (* -1 cosTheta)) |
(* 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 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) |
(* 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 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 |
(+ 1 (* -2 cosTheta)) |
(+ 1 (* -2 cosTheta)) |
(+ 1 (* -2 cosTheta)) |
(/ 1 (* cosTheta (+ 1 c))) |
(/ (+ (* cosTheta (- (sqrt (PI)) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/ (+ (* cosTheta (- (+ (sqrt (PI)) (* -3/2 (/ cosTheta (+ 1 c)))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/ (+ (* cosTheta (- (+ (sqrt (PI)) (* cosTheta (- (* 1/2 (/ cosTheta (+ 1 c))) (* 3/2 (/ 1 (+ 1 c)))))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(* (/ 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) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (* cosTheta (+ (PI) (* -4 (PI)))) (sqrt (/ 1 (PI))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* -1/2 (* (* cosTheta (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI)))))) (sqrt (/ 1 (PI))))))))))) |
(* (/ 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)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))) |
(+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) |
(+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) |
(+ (sqrt (PI)) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))) |
(+ (sqrt (PI)) (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) |
(+ (sqrt (PI)) (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) |
(* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))) |
(+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) |
(* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) |
(+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) |
(+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (* (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI))))) |
(+ (* -1 (* (/ (+ (* 1/16 (* (sqrt (pow cosTheta 5)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* 1/16 (/ (pow cosTheta 2) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 4) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* 1/2 (* (sqrt cosTheta) (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))))))) (pow cosTheta 6)) (sqrt (PI)))) (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (* (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI)))))) |
(* (sqrt (PI)) (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))))) |
(+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2))))) (* (sqrt (PI)) (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))))))) |
(+ (* -1 (* (/ (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt -2) 2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 3)))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2)))))) (pow cosTheta 4)) (sqrt (PI)))) (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2))))) (* (sqrt (PI)) (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))))))) |
(+ (* -1 (* (/ (+ (* -1/2 (* (sqrt cosTheta) (/ (* (exp (* -1 (pow cosTheta 2))) (* (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt -2) 2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 3)))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2)))))) (- c 1))) (* (sqrt -2) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))))))) (+ (* 1/16 (* (sqrt (pow cosTheta 5)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 5) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt -2) 4) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 3)))))) (pow cosTheta 6)) (sqrt (PI)))) (+ (* -1 (* (/ (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt -2) 2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 3)))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2)))))) (pow cosTheta 4)) (sqrt (PI)))) (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) 2))))) (* (sqrt (PI)) (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))))))))) |
(* (sqrt (/ 1 (PI))) (/ (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (- c 1))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (PI))) (/ (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (- 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 (PI))) (/ (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (- 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 (PI))) (/ (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (- c 1)))))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))))) |
(* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) |
(+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) |
(+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (* (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI))))) |
(+ (* -1 (* (/ (+ (* 1/16 (* (sqrt (pow cosTheta 5)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* 1/16 (/ (pow cosTheta 2) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 4) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* 1/2 (* (sqrt cosTheta) (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))))))))) (pow cosTheta 6)) (sqrt (PI)))) (+ (* -1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) (* (/ (- (* 1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 3)))))) (* -1/8 (* (sqrt (pow cosTheta 3)) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI)))))) |
(* cosTheta (+ 1 c)) |
(* cosTheta (+ 1 c)) |
(* cosTheta (+ 1 c)) |
(* cosTheta (+ 1 c)) |
(+ 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 cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 1)) |
(* cosTheta (- (/ 1 cosTheta) 1)) |
(* cosTheta (- (/ 1 cosTheta) 1)) |
(/ 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)))))))) |
(* (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 (+ 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 (+ 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)))))))) |
(* -2 cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) |
(+ (sqrt (PI)) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))) |
(+ (sqrt (PI)) (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) |
(+ (sqrt (PI)) (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) |
(* (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))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* -1 (sqrt (/ 1 (PI)))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(* (sqrt (* cosTheta (PI))) (sqrt -1/2)) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))) |
(* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))))) |
(* (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)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c))))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (+ 1 c)))))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))) (+ (* -1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 5) (+ 1 c)))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (+ 1 c))))))))) |
(+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) |
(+ (sqrt (PI)) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))))) |
(+ (sqrt (PI)) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (+ 1 c))))))))) |
(+ (sqrt (PI)) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))) (+ (* -1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 5) (+ 1 c)))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (+ 1 c)))))))))) |
(* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2))))) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2))))) (+ (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3))))) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2))))) (+ (* -1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 5))))) (+ (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3))))) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))))))) |
(* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) |
(+ (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2))))))) (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))))))) |
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(+ (* -1 (* (/ (+ (* -1/2 (* (sqrt cosTheta) (/ (* (sqrt -1) (- (* -1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 3)))))) (* 1/8 (* (sqrt (pow cosTheta 3)) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2))))))))) (* (exp (pow cosTheta 2)) (* (sqrt 2) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))))))))) (+ (* -1/16 (* (sqrt (pow cosTheta 5)) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 5) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2))))))) (* 1/16 (/ (pow cosTheta 2) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 4) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 3)))))))) (pow cosTheta 6)) (sqrt (PI)))) (+ (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) (* (/ (- (* -1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 3)))))) (* 1/8 (* (sqrt (pow cosTheta 3)) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI)))))) |
(* (sqrt (PI)) (/ (- c 1) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))))) |
(+ (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (sqrt 2) (pow (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) 2))))) (* (sqrt (PI)) (/ (- c 1) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1)))))) |
(+ (* -1 (* (/ (+ (* 1/8 (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (pow (sqrt 2) 3) (pow (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) 2))))) (* 1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt 2) 2) (pow (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) 3))))) (pow cosTheta 4)) (sqrt (PI)))) (+ (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (sqrt 2) (pow (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) 2))))) (* (sqrt (PI)) (/ (- c 1) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))))))) |
(+ (* -1 (* (/ (+ (* -1/16 (* (sqrt (pow cosTheta 5)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (pow (sqrt 2) 5) (pow (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt 2) 4) (pow (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) 3)))) (* 1/2 (* (sqrt cosTheta) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (+ (* 1/8 (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (pow (sqrt 2) 3) (pow (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) 2))))) (* 1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt 2) 2) (pow (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) 3))))) (- c 1)))) (* (sqrt 2) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))))))))) (pow cosTheta 6)) (sqrt (PI)))) (+ (* -1 (* (/ (+ (* 1/8 (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (pow (sqrt 2) 3) (pow (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) 2))))) (* 1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (pow (sqrt 2) 2) (pow (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) 3))))) (pow cosTheta 4)) (sqrt (PI)))) (+ (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (sqrt 2) (pow (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) 2))))) (* (sqrt (PI)) (/ (- c 1) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1)))))))) |
(* (sqrt (/ 1 (PI))) (/ (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) (- c 1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* (sqrt (/ 1 (PI))) (/ (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) (- 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)))) (* (sqrt (/ 1 (PI))) (/ (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) (- 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)))) (* (sqrt (/ 1 (PI))) (/ (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) (- c 1)))))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2))))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 5))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))))))))) |
(* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) |
(+ (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2))))))) (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))))))) |
(+ (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) (* (/ (- (* -1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 3)))))) (* 1/8 (* (sqrt (pow cosTheta 3)) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI))))) |
(+ (* -1 (* (/ (+ (* -1/2 (* (sqrt cosTheta) (/ (* (sqrt -1) (- (* -1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 3)))))) (* 1/8 (* (sqrt (pow cosTheta 3)) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2))))))))) (* (exp (pow cosTheta 2)) (* (sqrt 2) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))))))))) (+ (* -1/16 (* (sqrt (pow cosTheta 5)) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 5) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2))))))) (* 1/16 (/ (pow cosTheta 2) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 4) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 3)))))))) (pow cosTheta 6)) (sqrt (PI)))) (+ (* 1/2 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2))))))) (+ (* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) (* (/ (- (* -1/4 (/ cosTheta (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 2) (* (pow (+ 1 c) 3) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 3)))))) (* 1/8 (* (sqrt (pow cosTheta 3)) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (* (pow (+ 1 c) 2) (pow (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) 2)))))))) (pow cosTheta 4)) (sqrt (PI)))))) |
(* cosTheta (+ 1 c)) |
(* cosTheta (+ 1 c)) |
(* cosTheta (+ 1 c)) |
(* cosTheta (+ 1 c)) |
(+ 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 cosTheta) |
(* -1 (* cosTheta (- 1 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (- 1 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (- 1 (/ 1 cosTheta)))) |
(/ 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 (* (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 (+ 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 (+ 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))))))))) |
(* -2 cosTheta) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) |
(+ (sqrt (PI)) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))))) |
(+ (sqrt (PI)) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (+ 1 c))))))))) |
(+ (sqrt (PI)) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))) (+ (* -1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 5) (+ 1 c)))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (+ 1 c)))))))))) |
(* -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))))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* -1 (sqrt (/ 1 (PI)))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(* (sqrt (* cosTheta (PI))) (* (sqrt -1) (sqrt 1/2))) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2))))))) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2)))))))) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (+ (* -1/64 (/ (* cosTheta (PI)) (pow (sqrt 1/2) 2))) (* 1/16 (PI)))) (sqrt 1/2)))) (* -1/16 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2))))) (pow cosTheta 3))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2)))))))) |
(* -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))))))) |
| Outputs |
|---|
(* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))) |
(/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) |
(+ (* -1 (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) |
(*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) |
(+ (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) |
(fma.f32 (*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (/.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) c (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))) |
(+ (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* c (+ (* -1 (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) |
(fma.f32 (fma.f32 (*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) c (/.f32 (neg.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))) c (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))) |
(+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) |
(fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))) |
(+ (sqrt (PI)) (+ (* -1 (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) |
(fma.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (PI.f32))) |
(+ (sqrt (PI)) (+ (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) |
(+.f32 (sqrt.f32 (PI.f32)) (fma.f32 (*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (/.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) c (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)))) |
(+ (sqrt (PI)) (+ (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* c (+ (* -1 (* (/ c (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) |
(+.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) c (/.f32 (neg.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))) c (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)))) |
(+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) |
(fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))) |
(+ (sqrt (PI)) (+ (* c (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) |
(+.f32 (fma.f32 (+.f32 #s(literal 0 binary32) (sqrt.f32 (PI.f32))) c (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))) (sqrt.f32 (PI.f32))) |
(+ (sqrt (PI)) (+ (* c (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) |
(+.f32 (fma.f32 (+.f32 (+.f32 #s(literal 0 binary32) (*.f32 #s(literal 0 binary32) c)) (sqrt.f32 (PI.f32))) c (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))) (sqrt.f32 (PI.f32))) |
(+ (sqrt (PI)) (+ (* c (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* c (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) |
(+.f32 (fma.f32 (+.f32 (+.f32 #s(literal 0 binary32) (*.f32 (+.f32 #s(literal 0 binary32) (*.f32 #s(literal 0 binary32) c)) c)) (sqrt.f32 (PI.f32))) c (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))) (sqrt.f32 (PI.f32))) |
(* (sqrt (PI)) (/ 1 (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) |
(/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32)))) |
(+ (* -1 (* (* c (+ (* -1 (* (/ 1 (* cosTheta (* (exp (pow cosTheta 2)) (pow (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (PI)) (/ 1 (pow (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) 2))) (* (/ 1 (* cosTheta (* (exp (pow cosTheta 2)) (pow (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (sqrt (PI)))) (* (sqrt (PI)) (/ 1 (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))))) |
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(sqrt (PI)) |
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(* c (sqrt (PI))) |
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c |
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c |
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(/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (sqrt.f32 (PI.f32)) (+.f32 (/.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) (*.f32 c c)) (/.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))))) (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 0 binary32) (+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (pow.f32 c #s(literal 3 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)) c) |
(* (/ 1 c) (sqrt (PI))) |
(/.f32 (sqrt.f32 (PI.f32)) c) |
(/ (+ (sqrt (PI)) (* -1 (* (/ 1 c) (sqrt (PI))))) c) |
(/.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) c)) c) |
(/ (+ (sqrt (PI)) (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* (/ 1 (pow c 2)) (sqrt (PI))))) c) |
(/.f32 (+.f32 (-.f32 (/.f32 (sqrt.f32 (PI.f32)) (*.f32 c c)) (/.f32 (sqrt.f32 (PI.f32)) c)) (sqrt.f32 (PI.f32))) c) |
(/ (+ (sqrt (PI)) (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (+ (* -1 (* (/ 1 (pow c 3)) (sqrt (PI)))) (* (/ 1 (pow c 2)) (sqrt (PI)))))) c) |
(/.f32 (+.f32 (-.f32 (-.f32 (/.f32 (sqrt.f32 (PI.f32)) (*.f32 c c)) (/.f32 (sqrt.f32 (PI.f32)) (pow.f32 c #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (PI.f32)) c)) (sqrt.f32 (PI.f32))) c) |
(* c cosTheta) |
(*.f32 c cosTheta) |
(* c (+ cosTheta (/ cosTheta c))) |
(*.f32 (+.f32 (/.f32 cosTheta c) cosTheta) c) |
(* c (+ cosTheta (/ cosTheta c))) |
(*.f32 (+.f32 (/.f32 cosTheta c) cosTheta) c) |
(* c (+ cosTheta (/ cosTheta c))) |
(*.f32 (+.f32 (/.f32 cosTheta c) cosTheta) c) |
c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 (+.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 (+.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 (+.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c) |
(/ 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 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) 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 (-.f32 (+.f32 (/.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 c c)) #s(literal 1 binary32)) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.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 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32)))) (-.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) (/.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 c c)))) c) |
c |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #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 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) 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 (-.f32 (+.f32 (/.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 c c)) #s(literal 1 binary32)) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.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 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32)))) (-.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) (/.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 c c)))) c) |
c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 (+.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 (+.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 (+.f32 (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c) |
c |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(+ (sqrt (PI)) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) |
(+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (PI.f32))) |
(+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* (pow c 2) (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))) |
(fma.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 c c) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (sqrt.f32 (PI.f32))) |
(+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* (pow c 2) (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))) (* (/ 1 (* (pow c 3) (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) |
(+.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 c c) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (pow.f32 c #s(literal 3 binary32)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)))))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))) |
(/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) |
(* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c)) |
(/.f32 (*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))))) (neg.f32 c)) |
(* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c))) c)) |
(/.f32 (-.f32 (/.f32 (neg.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))))) c)) (neg.f32 c)) |
(* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c))) c))) c)) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (neg.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))))) c)) (neg.f32 c)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))) (neg.f32 c)) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(+ (sqrt (PI)) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) |
(+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (PI.f32))) |
(+ (sqrt (PI)) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c))) |
(-.f32 (sqrt.f32 (PI.f32)) (/.f32 (*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))))) c)) |
(+ (sqrt (PI)) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c))) c))) |
(-.f32 (sqrt.f32 (PI.f32)) (/.f32 (-.f32 (/.f32 (neg.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))))) c)) c)) |
(* c (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) c) |
(* -1 (* c (+ (* -1 (sqrt (PI))) (* -1 (/ (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) c))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))) (neg.f32 c)) (sqrt.f32 (PI.f32)))) |
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(* -1 (/ (- (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (PI)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))))) (+ (* (sqrt (/ 1 (PI))) (* (+ (sqrt (/ 1 (PI))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) c) (sqrt (PI)))) c))) c)) 1) c)) |
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(* (/ 1 c) (sqrt (PI))) |
(/.f32 (sqrt.f32 (PI.f32)) c) |
(* -1 (/ (+ (* -1 (sqrt (PI))) (* (/ 1 c) (sqrt (PI)))) c)) |
(/.f32 (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (sqrt.f32 (PI.f32))) (neg.f32 c)) |
(* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* (/ 1 c) (sqrt (PI)))) c))) c)) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (sqrt.f32 (PI.f32))) (neg.f32 c)) (sqrt.f32 (PI.f32))) (neg.f32 c)) |
(* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* (/ 1 c) (sqrt (PI)))) c))) c))) c)) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (sqrt.f32 (PI.f32))) (neg.f32 c)) (sqrt.f32 (PI.f32))) (neg.f32 c)) (sqrt.f32 (PI.f32))) (neg.f32 c)) |
(* c cosTheta) |
(*.f32 c cosTheta) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ cosTheta c))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (neg.f32 cosTheta) c) cosTheta)) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ cosTheta c))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (neg.f32 cosTheta) c) cosTheta)) |
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ cosTheta c))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (neg.f32 cosTheta) c) cosTheta)) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) (neg.f32 c)) #s(literal 1 binary32))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) (neg.f32 c)) #s(literal 1 binary32))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) (neg.f32 c)) #s(literal 1 binary32))) |
(/ 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 (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32))) (neg.f32 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 (-.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) c) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32))) (neg.f32 c)) #s(literal 1 binary32)) (neg.f32 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 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32)) c) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32))) (neg.f32 c)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32))) (neg.f32 c)) #s(literal 1 binary32)) (neg.f32 c)) |
c |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(/ 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 (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32))) (neg.f32 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 (-.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) c) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32))) (neg.f32 c)) #s(literal 1 binary32)) (neg.f32 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 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32)) c) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32))) (neg.f32 c)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32))) (neg.f32 c)) #s(literal 1 binary32)) (neg.f32 c)) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) (neg.f32 c)) #s(literal 1 binary32))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) (neg.f32 c)) #s(literal 1 binary32))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) (neg.f32 c)) #s(literal 1 binary32))) |
c |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(* c (+ 1 (/ 1 c))) |
(+.f32 c #s(literal 1 binary32)) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(+ (sqrt (PI)) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) |
(+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (PI.f32))) |
(+ (sqrt (PI)) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c))) |
(-.f32 (sqrt.f32 (PI.f32)) (/.f32 (*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))))) c)) |
(+ (sqrt (PI)) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c))) c))) |
(-.f32 (sqrt.f32 (PI.f32)) (/.f32 (-.f32 (/.f32 (neg.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 c cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))))) c)) c)) |
(/ 1 (* cosTheta (+ 1 c))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta)) |
(/ (+ (* -1 (/ cosTheta (+ 1 c))) (/ 1 (+ 1 c))) cosTheta) |
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32)))) cosTheta) |
(/ (+ (* cosTheta (- (* -3/2 (/ cosTheta (+ 1 c))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/.f32 (fma.f32 (fma.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta) |
(/ (+ (* cosTheta (- (* cosTheta (- (* 1/2 (/ cosTheta (+ 1 c))) (* 3/2 (/ 1 (+ 1 c))))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32))) (/.f32 #s(literal -3/2 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (/.f32 #s(literal -1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta) |
(/ 1 (* cosTheta (+ 1 c))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta)) |
(/ (+ (* cosTheta (- (sqrt (PI)) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/.f32 (fma.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta) |
(/ (+ (* cosTheta (- (+ (sqrt (PI)) (* -3/2 (/ cosTheta (+ 1 c)))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta) |
(/ (+ (* cosTheta (- (+ (sqrt (PI)) (* cosTheta (- (* 1/2 (/ cosTheta (+ 1 c))) (* 3/2 (/ 1 (+ 1 c)))))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32))) (/.f32 #s(literal -3/2 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta) |
(/ 1 cosTheta) |
(/.f32 #s(literal 1 binary32) cosTheta) |
(/ (+ 1 (* cosTheta (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))) cosTheta) |
(/.f32 (fma.f32 (fma.f32 c cosTheta cosTheta) (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) #s(literal 1 binary32)) cosTheta) |
(/ (+ 1 (* cosTheta (+ (* -3/2 cosTheta) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))))) cosTheta) |
(/.f32 (fma.f32 (fma.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)) (*.f32 #s(literal -3/2 binary32) cosTheta)) cosTheta #s(literal 1 binary32)) cosTheta) |
(/ (+ 1 (* cosTheta (+ (* cosTheta (- (* 1/2 cosTheta) 3/2)) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))))) cosTheta) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) cosTheta #s(literal -3/2 binary32)) cosTheta (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) cosTheta #s(literal 1 binary32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* (* cosTheta (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (sqrt (PI)))))) |
(*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (fma.f32 c cosTheta cosTheta) (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))))) (sqrt.f32 (PI.f32)))) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))) (* (* cosTheta (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2))))) (sqrt (PI))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (+.f32 #s(literal 3/2 binary32) (*.f32 (pow.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))) (* cosTheta (+ (* -1 (* (* cosTheta (+ 1/2 (+ (* 3/2 (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (* (+ 1 c) (* (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2)))) (- (sqrt (PI)) (/ 1 (+ 1 c)))))))) (sqrt (PI)))) (* (sqrt (PI)) (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2))))))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) (fma.f32 (+.f32 c #s(literal 1 binary32)) (+.f32 #s(literal 3/2 binary32) (*.f32 (pow.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 #s(literal 3/2 binary32) (+.f32 c #s(literal 1 binary32)))) #s(literal 1/2 binary32)) cosTheta) (+.f32 #s(literal 3/2 binary32) (*.f32 (pow.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)))))) cosTheta (*.f32 (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* (* cosTheta (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (sqrt (PI))))) |
(*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* (sqrt (PI)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (* (* cosTheta (- 3/2 (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1)))) (sqrt (PI))))))) |
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (-.f32 c #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (-.f32 c #s(literal 1 binary32)))) cosTheta (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* cosTheta (+ (* (sqrt (PI)) (- 3/2 (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1)))) (* (* cosTheta (- (+ 1/2 (/ 1 (- c 1))) (+ (/ c (- c 1)) (+ (/ (* (+ (* -1 (- c 1)) (* -1/2 (- c 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 3/2 (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1)))) (- c 1)))))) (sqrt (PI))))) (* (sqrt (PI)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 c #s(literal 1 binary32))) #s(literal 1/2 binary32)) (/.f32 c (-.f32 c #s(literal 1 binary32)))) (fma.f32 (-.f32 (*.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (-.f32 c #s(literal 1 binary32))) (/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (-.f32 c #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (-.f32 c #s(literal 1 binary32)))) (-.f32 c #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 c #s(literal 1 binary32)) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (-.f32 c #s(literal 1 binary32)))))) cosTheta (-.f32 #s(literal 3/2 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (-.f32 c #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) (-.f32 c #s(literal 1 binary32)))))) cosTheta (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* (* cosTheta (- (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))) 1)) (sqrt (/ 1 (PI))))) cosTheta) |
(/.f32 (*.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)) #s(literal -1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (- (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))) 1))))) cosTheta) |
(/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta (fma.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)) #s(literal -1 binary32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* (* cosTheta (- (/ c (- c 1)) (+ 1/2 (/ 1 (- c 1))))) (sqrt (/ 1 (PI)))))) (* (sqrt (/ 1 (PI))) (- (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))) 1))))) cosTheta) |
(/.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 (-.f32 (-.f32 (/.f32 c (-.f32 c #s(literal 1 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 c #s(literal 1 binary32)))) cosTheta #s(literal -3/2 binary32))) cosTheta (*.f32 (fma.f32 (/.f32 (fma.f32 c c #s(literal -1 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* (* cosTheta (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (sqrt (/ 1 (PI))))) cosTheta) |
(/.f32 (*.f32 (fma.f32 (fma.f32 c cosTheta cosTheta) (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))))) cosTheta) |
(/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)) (*.f32 #s(literal -3/2 binary32) cosTheta))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* 1/2 (* cosTheta (sqrt (/ 1 (PI))))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))))) cosTheta) |
(/.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 c #s(literal 1 binary32))) (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal 1/2 binary32) cosTheta #s(literal -3/2 binary32))) cosTheta)) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* (* cosTheta (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (sqrt (PI)))))) |
(*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (fma.f32 c cosTheta cosTheta) (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))))) (sqrt.f32 (PI.f32)))) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))) (* (* cosTheta (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2))))) (sqrt (PI))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (+.f32 #s(literal 3/2 binary32) (*.f32 (pow.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c)))))) (* cosTheta (+ (* -1 (* (* cosTheta (+ 1/2 (+ (* 3/2 (* (+ 1 c) (- (sqrt (PI)) (/ 1 (+ 1 c))))) (* (+ 1 c) (* (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2)))) (- (sqrt (PI)) (/ 1 (+ 1 c)))))))) (sqrt (PI)))) (* (sqrt (PI)) (- 3/2 (* -1 (* (pow (+ 1 c) 2) (pow (- (sqrt (PI)) (/ 1 (+ 1 c))) 2))))))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) (fma.f32 (+.f32 c #s(literal 1 binary32)) (+.f32 #s(literal 3/2 binary32) (*.f32 (pow.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 #s(literal 3/2 binary32) (+.f32 c #s(literal 1 binary32)))) #s(literal 1/2 binary32)) cosTheta) (+.f32 #s(literal 3/2 binary32) (*.f32 (pow.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)))))) cosTheta (*.f32 (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* cosTheta (+ 1 c)) |
(fma.f32 c cosTheta cosTheta) |
(* cosTheta (+ 1 c)) |
(fma.f32 c cosTheta cosTheta) |
(* cosTheta (+ 1 c)) |
(fma.f32 c cosTheta cosTheta) |
(* cosTheta (+ 1 c)) |
(fma.f32 c cosTheta cosTheta) |
(* (/ 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 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (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 (+.f32 (+.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) #s(literal 1 binary32)) cosTheta (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 (+.f32 (+.f32 c #s(literal 1 binary32)) (fma.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 cosTheta)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
(+ 1 (* -1 cosTheta)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
(+ 1 (* -1 cosTheta)) |
(-.f32 #s(literal 1 binary32) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(* 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 (fma.f32 (neg.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) cosTheta (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* 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 (fma.f32 (fma.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))))) cosTheta (-.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))))) cosTheta (*.f32 (neg.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* (/ 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 (-.f32 #s(literal 1 binary32) 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 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) cosTheta)) 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 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) cosTheta) cosTheta)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(* 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 (fma.f32 (neg.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) cosTheta (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* 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 (fma.f32 (fma.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))))) cosTheta (-.f32 (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (*.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))))) cosTheta (*.f32 (neg.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* (/ 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 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (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 (+.f32 (+.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) #s(literal 1 binary32)) cosTheta (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 (+.f32 (+.f32 c #s(literal 1 binary32)) (fma.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 cosTheta)) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(+ 1 (* -2 cosTheta)) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(+ 1 (* -2 cosTheta)) |
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) |
(/ 1 (* cosTheta (+ 1 c))) |
(/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta)) |
(/ (+ (* cosTheta (- (sqrt (PI)) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/.f32 (fma.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta) |
(/ (+ (* cosTheta (- (+ (sqrt (PI)) (* -3/2 (/ cosTheta (+ 1 c)))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta) |
(/ (+ (* cosTheta (- (+ (sqrt (PI)) (* cosTheta (- (* 1/2 (/ cosTheta (+ 1 c))) (* 3/2 (/ 1 (+ 1 c)))))) (/ 1 (+ 1 c)))) (/ 1 (+ 1 c))) cosTheta) |
(/.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32))) (/.f32 #s(literal -3/2 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32)))) cosTheta) |
(* (/ 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 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1 binary32))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) 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 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1/2 binary32))) cosTheta) cosTheta)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* (/ 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 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI))))) |
(*.f32 (fma.f32 (sqrt.f32 (PI.f32)) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (* cosTheta (+ (PI) (* -4 (PI)))) (sqrt (/ 1 (PI))))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 #s(literal -3 binary32) (PI.f32)) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sqrt.f32 (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* -1/2 (* (* cosTheta (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI)))))) (sqrt (/ 1 (PI))))))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3 binary32) (PI.f32) (*.f32 (fma.f32 #s(literal -8 binary32) (PI.f32) (*.f32 #s(literal 3 binary32) (PI.f32))) cosTheta)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta) |
(* (/ 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 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1 binary32))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) 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 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1/2 binary32))) cosTheta) cosTheta)) cosTheta) |
(* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))) |
(*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (+.f32 c #s(literal 1 binary32))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) |
(+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) |
(fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 c #s(literal 1 binary32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal 1/2 binary32))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))) |
(fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 c #s(literal 1 binary32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal 1/2 binary32)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) |
(fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32)))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal 1/16 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 c #s(literal 1 binary32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal 1/2 binary32))))) |
(+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) |
(fma.f32 (/.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (+.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))) |
(+ (sqrt (PI)) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))) |
(+.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (+.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal 1/2 binary32))) |
(+ (sqrt (PI)) (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) |
(+.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 c #s(literal 1 binary32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal 1/2 binary32)))) (sqrt.f32 (PI.f32))) |
(+ (sqrt (PI)) (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) |
(+.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32)))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal 1/16 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 c #s(literal 1 binary32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal 1/2 binary32))))) (sqrt.f32 (PI.f32))) |
(* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))) |
(*.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (+.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))) (+.f32 c #s(literal 1 binary32))) |
(+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) |
(fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) #s(literal 1/2 binary32) (*.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (+.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))) (+.f32 c #s(literal 1 binary32)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (+ 1 c) (+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) |
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(* (sqrt (/ 1 (PI))) (/ (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1))))) (- c 1))) |
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
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(* cosTheta (+ 1 c)) |
(fma.f32 c cosTheta cosTheta) |
(* cosTheta (+ 1 c)) |
(fma.f32 c cosTheta cosTheta) |
(* cosTheta (+ 1 c)) |
(fma.f32 c cosTheta cosTheta) |
(* cosTheta (+ 1 c)) |
(fma.f32 c cosTheta cosTheta) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) |
(+ 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 cosTheta) |
(neg.f32 cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) cosTheta) |
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32))) |
(+ (* -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))))))) |
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(- (+ (* -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)))))) |
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(- (+ (* -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)))))))) |
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32))) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (*.f32 (pow.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) cosTheta) (pow.f32 (+.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (pow.f32 (+.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) #s(literal 2 binary32))))) (sqrt.f32 #s(literal -2 binary32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)))) (*.f32 #s(literal 1/16 binary32) (fma.f32 (/.f32 (pow.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (*.f32 (PI.f32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 4 binary32)))) (/.f32 (*.f32 cosTheta cosTheta) (pow.f32 (+.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) #s(literal 3 binary32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (pow.f32 (+.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (pow.f32 (+.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) #s(literal 3 binary32)))) (/.f32 (pow.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32)))) (/.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (+.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32)))) (/.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (pow.f32 (+.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) #s(literal 2 binary32))))))) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) |
(+ 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 (+.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) #s(literal 1/2 binary32))) #s(literal 1 binary32)) |
(+ 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 (+.f32 c #s(literal 1 binary32)) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta))) #s(literal -1/8 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) #s(literal 1/2 binary32))))) |
(+ 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 (+.f32 c #s(literal 1 binary32)) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))) (PI.f32))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) #s(literal 1/16 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) #s(literal 1/2 binary32)))))) |
(* -2 cosTheta) |
(*.f32 #s(literal -2 binary32) cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) cosTheta) |
(+ (sqrt (PI)) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))) |
(fma.f32 (/.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (+.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))) |
(+ (sqrt (PI)) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))) |
(+.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -2 binary32)) (*.f32 (+.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal 1/2 binary32))) |
(+ (sqrt (PI)) (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c))))))) |
(+.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 c #s(literal 1 binary32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal 1/2 binary32)))) (sqrt.f32 (PI.f32))) |
(+ (sqrt (PI)) (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (+ 1 c)))))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (+ 1 c)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 c)))))) (* (sqrt (/ 1 cosTheta)) (/ (sqrt -2) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) |
(+.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (*.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32)))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal 1/16 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 c #s(literal 1 binary32))) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal 1/2 binary32))))) (sqrt.f32 (PI.f32))) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) |
(*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -2 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 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))) (PI.f32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -2 binary32)))))) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* -1 (sqrt (/ 1 (PI)))) |
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) |
(* (sqrt (* cosTheta (PI))) (sqrt -1/2)) |
(*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sqrt.f32 (*.f32 (PI.f32) cosTheta))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))) |
(*.f32 (fma.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1/2 binary32))) #s(literal -1/8 binary32))) cosTheta) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1/2 binary32)))) cosTheta) |
(* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))))) |
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(* (sqrt (/ 1 (PI))) (/ (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) (- c 1))) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 (*.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (-.f32 c #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))))) (-.f32 c #s(literal 1 binary32))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* (sqrt (/ 1 (PI))) (/ (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) (- c 1)))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 #s(literal 2 binary32))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 (*.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (-.f32 c #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))))) (-.f32 c #s(literal 1 binary32)))) |
(+ (* -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)))) (* (sqrt (/ 1 (PI))) (/ (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) (- c 1))))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 (*.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (-.f32 c #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))))) (-.f32 c #s(literal 1 binary32))))) |
(+ (* -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)))) (* (sqrt (/ 1 (PI))) (/ (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (* (sqrt (PI)) (- (pow c 2) 1))) (- c 1)))))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))) (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (fma.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 (*.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (-.f32 c #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))))) (-.f32 c #s(literal 1 binary32)))))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 c #s(literal 1 binary32))) (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 c #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) |
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 c #s(literal 1 binary32))) (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 c #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3))))) (* (sqrt (/ 1 (PI))) (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))))))) |
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(* (sqrt (PI)) (/ 1 (* (+ 1 c) (+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))))))) |
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(/.f32 #s(literal 1 binary32) cosTheta)))) (+.f32 c #s(literal 1 binary32))))))) |
(* cosTheta (+ 1 c)) |
(fma.f32 c cosTheta cosTheta) |
(* cosTheta (+ 1 c)) |
(fma.f32 c cosTheta cosTheta) |
(* cosTheta (+ 1 c)) |
(fma.f32 c cosTheta cosTheta) |
(* cosTheta (+ 1 c)) |
(fma.f32 c cosTheta cosTheta) |
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(-.f32 (+.f32 c #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) 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))))))) |
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(+ 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)))))))) |
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(+ 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))))))))) |
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(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 (* cosTheta (- 1 (/ 1 cosTheta)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (- 1 (/ 1 cosTheta)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (- 1 (/ 1 cosTheta)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 cosTheta)) |
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(- (+ (* -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))))))))) |
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(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(-.f32 (+.f32 c #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) 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))))))) |
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(+ 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)))))))) |
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(+ 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))))))))) |
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(* -2 cosTheta) |
(*.f32 #s(literal -2 binary32) cosTheta) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 cosTheta)) |
(+ (sqrt (PI)) (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c)))))) |
(-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 c #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))) |
(+ (sqrt (PI)) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))))) |
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(+ (sqrt (PI)) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (+ 1 c))))))))) |
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(+ (sqrt (PI)) (+ (* -1 (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -1) (sqrt 2)) (* (exp (pow cosTheta 2)) (+ 1 c))))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 c)))))) (+ (* -1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 5) (+ 1 c)))))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (+ 1 c)))))))))) |
(+.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 c #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))) (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (+.f32 c #s(literal 1 binary32)))) (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)) (+.f32 c #s(literal 1 binary32)))) (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 c #s(literal 1 binary32)))))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 #s(literal 2 binary32)))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2))))) |
(-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 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)))))) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 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))))))) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))) (PI.f32)))) (/.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 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(* -1 (sqrt (/ 1 (PI)))) |
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) |
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) |
(* (sqrt (* cosTheta (PI))) (* (sqrt -1) (sqrt 1/2))) |
(*.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32))) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2))))))) |
(*.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32)))) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2)))))))) |
(*.f32 (-.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))) (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32)))) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (+ (* -1/64 (/ (* cosTheta (PI)) (pow (sqrt 1/2) 2))) (* 1/16 (PI)))) (sqrt 1/2)))) (* -1/16 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2))))) (pow cosTheta 3))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2)))))))) |
(*.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))) (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (*.f32 (PI.f32) cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))) (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) cosTheta) #s(literal 1/2 binary32)) #s(literal -1/64 binary32) (*.f32 #s(literal 1/16 binary32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 1/2 binary32)))) (neg.f32 cosTheta)) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 #s(literal 2 binary32)))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2))))) |
(-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 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)))))) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 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))))))) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))) (PI.f32)))) (/.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 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 521 |
| 0 | 120 | 503 |
| 1 | 480 | 476 |
| 2 | 3744 | 469 |
| 0 | 8112 | 454 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) |
(+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) |
(*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
#s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) |
(*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(+.f32 #s(literal 1 binary32) c) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
#s(approx (+ 1 c) #s(literal 1 binary32)) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
#s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) |
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) |
(*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) |
| Outputs |
|---|
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Compiled 46 989 to 5 186 computations (89% saved)
32 alts after pruning (28 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 215 | 17 | 1 232 |
| Fresh | 2 | 11 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 222 | 32 | 1 254 |
| Status | Accuracy | Program |
|---|---|---|
| 98.5% | (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (+.f32 c #s(literal 1 binary32)) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)))) (+.f32 c #s(literal 1 binary32)))) | |
| 96.7% | (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32)))) cosTheta))) (+.f32 c #s(literal 1 binary32)))) | |
| 88.3% | (/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta)))) (+.f32 c #s(literal 1 binary32)))) | |
| 88.4% | (/.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(approx (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) | |
| 93.6% | (/.f32 (sqrt.f32 (PI.f32)) #s(approx (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1)) (/.f32 #s(literal 1 binary32) cosTheta))) | |
| 96.6% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) | |
| 96.6% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32)))) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) | |
| 93.5% | (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) | |
| 93.5% | (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta c) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) | |
| 93.5% | (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c)))) | |
| 88.4% | (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) #s(approx (* (/ 1 (+ c 1)) (sqrt (PI))) (sqrt.f32 (PI.f32))))) | |
| 98.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 96.9% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 97.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (+.f32 cosTheta #s(literal 1 binary32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 97.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 98.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) (+.f32 c #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 97.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| ✓ | 97.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 97.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (-.f32 cosTheta (neg.f32 cosTheta))) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| ✓ | 98.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 97.1% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| 93.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) | |
| 96.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))) | |
| 98.2% | (/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)))))) | |
| 93.6% | (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) | |
| 93.9% | (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) | |
| 53.7% | (*.f32 (/.f32 (/.f32 (sqrt.f32 (PI.f32)) (+.f32 c #s(literal 1 binary32))) (-.f32 (PI.f32) (pow.f32 (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32)))) (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))) | |
| 88.4% | (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) (sqrt.f32 (PI.f32))) | |
| 97.0% | #s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) | |
| 93.7% | #s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta)) | |
| ✓ | 94.0% | #s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
| ✓ | 5.0% | #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
Compiled 2 272 to 797 computations (64.9% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/.f32 (sqrt.f32 (PI.f32)) #s(approx (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1)) (/.f32 #s(literal 1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
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(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) #s(literal 2 binary32)))) (-.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))) |
(/.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta)) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta))) |
(-.f32 (/.f32 (+.f32 c #s(literal 1 binary32)) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32)))) (/.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32))))) |
(-.f32 (/.f32 (+.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32))) (+.f32 (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 3 binary32)) (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 3 binary32)))) (/.f32 (*.f32 (/.f32 (+.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (+.f32 (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 3 binary32)) (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 3 binary32))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) (+.f32 c #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
6 calls:
| 23.0ms | cosTheta |
| 22.0ms | (*.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))) |
| 20.0ms | c |
| 19.0ms | (/.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))))) |
| 18.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | cosTheta |
| 98.7% | 1 | c |
| 98.7% | 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))))) |
| 98.7% | 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)))) |
| 98.7% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 98.7% | 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 72 to 58 computations (19.4% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/.f32 (sqrt.f32 (PI.f32)) #s(approx (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1)) (/.f32 #s(literal 1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(approx (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) #s(approx (* (/ 1 (+ c 1)) (sqrt (PI))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta)))) (+.f32 c #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta c) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c)))) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32)))) cosTheta))) (+.f32 c #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32)))) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (-.f32 cosTheta (neg.f32 cosTheta))) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.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) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (+.f32 cosTheta #s(literal 1 binary32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
6 calls:
| 13.0ms | 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)))) |
| 11.0ms | (*.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))) |
| 11.0ms | (/.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))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | cosTheta |
| 98.6% | 1 | c |
| 98.6% | 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))))) |
| 98.6% | 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)))) |
| 98.6% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 98.6% | 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 72 to 58 computations (19.4% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/.f32 (sqrt.f32 (PI.f32)) #s(approx (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1)) (/.f32 #s(literal 1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(approx (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) #s(approx (* (/ 1 (+ c 1)) (sqrt (PI))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta)))) (+.f32 c #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta c) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c)))) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32)))) cosTheta))) (+.f32 c #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32)))) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (-.f32 cosTheta (neg.f32 cosTheta))) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.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) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (+.f32 cosTheta #s(literal 1 binary32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
6 calls:
| 38.0ms | (+.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)))) |
| 29.0ms | (*.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))) |
| 13.0ms | cosTheta |
| 11.0ms | c |
| 11.0ms | (/.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))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | cosTheta |
| 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))) |
| 98.2% | 1 | c |
Compiled 72 to 58 computations (19.4% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/.f32 (sqrt.f32 (PI.f32)) #s(approx (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1)) (/.f32 #s(literal 1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(approx (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) #s(approx (* (/ 1 (+ c 1)) (sqrt (PI))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta)))) (+.f32 c #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta c) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c)))) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32)))) cosTheta))) (+.f32 c #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32)))) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (-.f32 cosTheta (neg.f32 cosTheta))) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
6 calls:
| 15.0ms | (+.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)))) |
| 13.0ms | (+.f32 #s(literal 1 binary32) c) |
| 12.0ms | 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))) |
| 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))))) |
| 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 72 to 58 computations (19.4% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/.f32 (sqrt.f32 (PI.f32)) #s(approx (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1)) (/.f32 #s(literal 1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(approx (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) #s(approx (* (/ 1 (+ c 1)) (sqrt (PI))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta)))) (+.f32 c #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta c) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c)))) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32)))) cosTheta))) (+.f32 c #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32)))) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (-.f32 cosTheta (neg.f32 cosTheta))) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
6 calls:
| 32.0ms | cosTheta |
| 16.0ms | 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))) |
| 9.0ms | (+.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))))) |
| 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 72 to 58 computations (19.4% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/.f32 (sqrt.f32 (PI.f32)) #s(approx (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1)) (/.f32 #s(literal 1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(approx (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) #s(approx (* (/ 1 (+ c 1)) (sqrt (PI))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta)))) (+.f32 c #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta c) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c)))) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32)))) cosTheta))) (+.f32 c #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32)))) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
6 calls:
| 11.0ms | (+.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)))) |
| 11.0ms | 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 | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | cosTheta |
| 97.2% | 1 | c |
| 97.2% | 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))))) |
| 97.2% | 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)))) |
| 97.2% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 97.2% | 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 72 to 58 computations (19.4% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/.f32 (sqrt.f32 (PI.f32)) #s(approx (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1)) (/.f32 #s(literal 1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(approx (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) #s(approx (* (/ 1 (+ c 1)) (sqrt (PI))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta)))) (+.f32 c #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta c) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) (*.f32 (/.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c)))) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32)))) cosTheta))) (+.f32 c #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) #s(approx (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 cosTheta (+.f32 c #s(literal 1 binary32)))) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| Outputs |
|---|
#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) |
6 calls:
| 26.0ms | cosTheta |
| 7.0ms | (+.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)))) |
| 7.0ms | (*.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))) |
| 7.0ms | (/.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))))) |
| 7.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 1 | c |
| 97.0% | 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)))) |
| 97.0% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 97.0% | 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))) |
| 97.0% | 1 | cosTheta |
| 97.0% | 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))))) |
Compiled 72 to 58 computations (19.4% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/.f32 (sqrt.f32 (PI.f32)) #s(approx (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1)) (/.f32 #s(literal 1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(approx (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) #s(approx (* (/ 1 (+ c 1)) (sqrt (PI))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))) |
6 calls:
| 10.0ms | (+.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 | cosTheta |
| 5.0ms | (*.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))) |
| 5.0ms | (+.f32 #s(literal 1 binary32) c) |
| 5.0ms | (/.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))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 1 | cosTheta |
| 96.2% | 1 | c |
| 96.2% | 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))))) |
| 96.2% | 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)))) |
| 96.2% | 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))) |
| 96.2% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 72 to 58 computations (19.4% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
(/.f32 (sqrt.f32 (PI.f32)) #s(approx (* (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (+ c 1)) (/.f32 #s(literal 1 binary32) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (- (* c c) 1) (sqrt (PI))) (* (- c 1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) (neg cosTheta))))) (* (- c 1) (sqrt (PI)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) |
(/.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(approx (+ (sqrt (PI)) (/ (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ c 1))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (fma.f32 c cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))) (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (sqrt (PI)) (* (/ 1 (+ c 1)) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 c #s(literal 1 binary32)) cosTheta))) #s(approx (* (/ 1 (+ c 1)) (sqrt (PI))) (sqrt.f32 (PI.f32))))) |
| Outputs |
|---|
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
6 calls:
| 7.0ms | 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))) |
| 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 #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))))) |
| 4.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.0% | 1 | cosTheta |
| 94.0% | 1 | c |
| 94.0% | 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))))) |
| 94.0% | 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)))) |
| 94.0% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 94.0% | 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))) |
Compiled 72 to 58 computations (19.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
| Outputs |
|---|
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
6 calls:
| 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 #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)))) |
| 1.0ms | (*.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 | cosTheta |
| 1.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.0% | 1 | cosTheta |
| 5.0% | 1 | c |
| 5.0% | 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))))) |
| 5.0% | 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)))) |
| 5.0% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 5.0% | 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))) |
Compiled 72 to 58 computations (19.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 293 |
| 1 | 123 | 293 |
| 2 | 147 | 293 |
| 3 | 164 | 293 |
| 4 | 191 | 293 |
| 5 | 225 | 293 |
| 6 | 258 | 293 |
| 7 | 385 | 293 |
| 8 | 520 | 293 |
| 9 | 568 | 293 |
| 10 | 654 | 293 |
| 11 | 771 | 293 |
| 12 | 907 | 293 |
| 13 | 1034 | 293 |
| 14 | 1136 | 293 |
| 15 | 1205 | 293 |
| 16 | 1256 | 293 |
| 17 | 1315 | 293 |
| 18 | 1370 | 293 |
| 19 | 1400 | 293 |
| 20 | 1409 | 293 |
| 21 | 1410 | 293 |
| 1× | saturated |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) (+.f32 c #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.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) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.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) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) (+.f32 c #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta))) #s(approx (+ 1 c) (+.f32 c #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal -1 binary32) (-.f32 (-.f32 #s(literal -1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal -1 binary32) (-.f32 (-.f32 #s(literal -1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #s(approx (+ 1 c) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal -1 binary32) (-.f32 (-.f32 #s(literal -1 binary32) c) (*.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) |
#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32)))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #s(approx (+ 1 c) #s(literal 1 binary32)))) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1551 | 23408 |
| 1 | 5142 | 21803 |
| 0 | 8285 | 20813 |
| 0 | 75 | 521 |
| 0 | 120 | 503 |
| 1 | 480 | 476 |
| 2 | 3744 | 469 |
| 0 | 8112 | 454 |
| 0 | 60 | 373 |
| 0 | 100 | 361 |
| 1 | 362 | 322 |
| 2 | 2409 | 309 |
| 0 | 8701 | 300 |
| 0 | 407 | 3223 |
| 1 | 1237 | 3123 |
| 2 | 4720 | 3043 |
| 0 | 8272 | 2891 |
| 0 | 64 | 446 |
| 0 | 107 | 433 |
| 1 | 448 | 403 |
| 2 | 3659 | 403 |
| 0 | 8301 | 399 |
| 0 | 18 | 73 |
| 0 | 33 | 73 |
| 1 | 141 | 66 |
| 2 | 1060 | 61 |
| 0 | 8551 | 61 |
| 0 | 1505 | 25441 |
| 1 | 5002 | 22867 |
| 0 | 8994 | 21844 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 871 to 476 computations (45.4% saved)
Compiled 406 to 154 computations (62.1% saved)
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