
Time bar (total: 17.9s)
| 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)
| 1.3s | 8 256× | 0 | valid |
| 10.0ms | 72× | 0 | invalid |
ival-mult: 219.0ms (19.7% of total)ival-div: 169.0ms (15.2% of total)const: 124.0ms (11.2% of total)ival-sqrt: 124.0ms (11.2% of total)ival-add: 97.0ms (8.7% of total)ival-exp: 90.0ms (8.1% of total)ival-<: 81.0ms (7.3% of total)ival-sub: 75.0ms (6.8% of total)ival-pi: 50.0ms (4.5% of total)ival-neg: 44.0ms (4% of total)ival-and: 21.0ms (1.9% of total)exact: 14.0ms (1.3% of total)ival-assert: 3.0ms (0.3% of total)| 2× | egg-herbie |
| 1 608× | accelerator-lowering-fma.f32 |
| 1 608× | accelerator-lowering-fma.f64 |
| 1 468× | div-sub |
| 1 040× | *-lowering-*.f32 |
| 1 040× | *-lowering-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 152 |
| 1 | 140 | 140 |
| 2 | 404 | 133 |
| 3 | 1334 | 132 |
| 4 | 3715 | 132 |
| 5 | 5337 | 132 |
| 6 | 7076 | 132 |
| 7 | 7836 | 132 |
| 0 | 18 | 25 |
| 1 | 44 | 23 |
| 2 | 106 | 22 |
| 3 | 226 | 22 |
| 4 | 349 | 22 |
| 5 | 727 | 22 |
| 6 | 1873 | 22 |
| 7 | 2807 | 22 |
| 8 | 3448 | 22 |
| 9 | 4078 | 22 |
| 10 | 4244 | 22 |
| 11 | 4279 | 22 |
| 12 | 4312 | 22 |
| 13 | 4446 | 22 |
| 14 | 5067 | 22 |
| 15 | 5075 | 22 |
| 16 | 5079 | 22 |
| 17 | 5079 | 22 |
| 0 | 5079 | 21 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
| Outputs |
|---|
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))) |
| Inputs |
|---|
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 (neg cosTheta)) (neg cosTheta))) (neg cosTheta))) (exp (* (neg (neg cosTheta)) (neg cosTheta)))))) |
(/ 1 (+ (+ 1 (neg c)) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(neg (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 (neg cosTheta)) (neg cosTheta))) (neg cosTheta))) (exp (* (neg (neg cosTheta)) (neg cosTheta))))))) |
(neg (/ 1 (+ (+ 1 (neg c)) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))))) |
(/ 1 (+ (+ 1 cosTheta) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 c) c)) c)) (exp (* (neg c) c))))) |
| Outputs |
|---|
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(/ 1 (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (pow (exp cosTheta) cosTheta) (* (sqrt (PI)) cosTheta))))) |
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 (neg cosTheta)) (neg cosTheta))) (neg cosTheta))) (exp (* (neg (neg cosTheta)) (neg cosTheta)))))) |
(/ 1 (- (+ 1 c) (/ (sqrt (+ 1 (+ cosTheta cosTheta))) (* (pow (exp cosTheta) cosTheta) (* (sqrt (PI)) cosTheta))))) |
(/ 1 (+ (+ 1 (neg c)) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(/ 1 (+ (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (pow (exp cosTheta) cosTheta) (* (sqrt (PI)) cosTheta))) (- 1 c))) |
(neg (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 (neg cosTheta)) (neg cosTheta))) (neg cosTheta))) (exp (* (neg (neg cosTheta)) (neg cosTheta))))))) |
(/ 1 (+ (- -1 c) (/ (sqrt (+ 1 (+ cosTheta cosTheta))) (* (pow (exp cosTheta) cosTheta) (* (sqrt (PI)) cosTheta))))) |
(neg (/ 1 (+ (+ 1 (neg c)) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))))) |
(/ 1 (- (+ c -1) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (pow (exp cosTheta) cosTheta) (* (sqrt (PI)) cosTheta))))) |
(/ 1 (+ (+ 1 cosTheta) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 c) c)) c)) (exp (* (neg c) c))))) |
(/ 1 (+ (+ 1 cosTheta) (/ (sqrt (+ 1 (* c -2))) (* (pow (exp c) c) (* c (sqrt (PI))))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 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 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 78.0ms | 512× | 0 | valid |
Compiled 310 to 76 computations (75.5% saved)
ival-mult: 21.0ms (35.2% of total)ival-div: 10.0ms (16.8% of total)ival-sqrt: 7.0ms (11.7% of total)ival-pi: 5.0ms (8.4% of total)ival-add: 5.0ms (8.4% of total)ival-exp: 4.0ms (6.7% of total)ival-sub: 4.0ms (6.7% of total)ival-neg: 2.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 24 to 17 computations (29.2% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.9% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| ▶ | 98.4% | (/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))) |
Compiled 51 to 35 computations (31.4% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| ✓ | cost-diff | 64 | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) |
| ✓ | cost-diff | 64 | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| ✓ | cost-diff | 0 | (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) |
| ✓ | cost-diff | 0 | (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))) |
| 1 608× | accelerator-lowering-fma.f32 |
| 1 608× | accelerator-lowering-fma.f64 |
| 1 040× | *-lowering-*.f32 |
| 1 040× | *-lowering-*.f64 |
| 964× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 234 |
| 1 | 69 | 232 |
| 2 | 150 | 232 |
| 3 | 279 | 232 |
| 4 | 402 | 232 |
| 5 | 790 | 232 |
| 6 | 1988 | 232 |
| 7 | 2814 | 232 |
| 8 | 3456 | 232 |
| 9 | 4092 | 232 |
| 10 | 4263 | 232 |
| 11 | 4296 | 232 |
| 12 | 4329 | 232 |
| 13 | 4464 | 232 |
| 14 | 5065 | 232 |
| 15 | 5073 | 232 |
| 16 | 5077 | 232 |
| 17 | 5077 | 232 |
| 0 | 5077 | 219 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (+ c (+ 1 (/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)))))) |
1 |
(+ c (+ 1 (/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))))) |
c |
(+ 1 (/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)))) |
(/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))) |
(sqrt (+ 1 (* cosTheta -2))) |
(+ 1 (* cosTheta -2)) |
(* cosTheta -2) |
cosTheta |
-2 |
(* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) |
(exp (* cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(* (sqrt (PI)) cosTheta) |
(sqrt (PI)) |
(PI) |
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
1 |
(+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) |
(+ 1 c) |
c |
(* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) |
(* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) |
(/ 1 (sqrt (PI))) |
(sqrt (PI)) |
(PI) |
(/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) |
(sqrt (- (- 1 cosTheta) cosTheta)) |
(- (- 1 cosTheta) cosTheta) |
(- 1 cosTheta) |
cosTheta |
(exp (* (neg cosTheta) cosTheta)) |
(* (neg cosTheta) cosTheta) |
(neg cosTheta) |
| Outputs |
|---|
(/ 1 (+ c (+ 1 (/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))))))) |
1 |
#s(literal 1 binary32) |
(+ c (+ 1 (/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))))) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32)))))) |
c |
(+ 1 (/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)))) |
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32)))))) |
(/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))) |
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))))) |
(sqrt (+ 1 (* cosTheta -2))) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) |
(+ 1 (* cosTheta -2)) |
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) |
(* cosTheta -2) |
(*.f32 cosTheta #s(literal -2 binary32)) |
cosTheta |
-2 |
#s(literal -2 binary32) |
(* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) |
(*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32)))) |
(exp (* cosTheta cosTheta)) |
(exp.f32 (*.f32 cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
(* (sqrt (PI)) cosTheta) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))))))) |
1 |
#s(literal 1 binary32) |
(+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32)))))) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) |
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))))) |
(* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) |
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(/ 1 (sqrt (PI))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) |
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) |
(sqrt (- (- 1 cosTheta) cosTheta)) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) |
(- (- 1 cosTheta) cosTheta) |
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) |
(- 1 cosTheta) |
(-.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(exp (* (neg cosTheta) cosTheta)) |
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) |
(* (neg cosTheta) cosTheta) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) |
(neg cosTheta) |
(neg.f32 cosTheta) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
| ✓ | accuracy | 99.0% | (/.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))))) |
| ✓ | accuracy | 98.3% | (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) |
| ✓ | accuracy | 96.9% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) |
| ✓ | accuracy | 99.8% | (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) |
| ✓ | accuracy | 99.0% | (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))) |
| ✓ | accuracy | 98.7% | (*.f32 (sqrt.f32 (PI.f32)) cosTheta) |
| 53.0ms | 256× | 0 | valid |
Compiled 245 to 32 computations (86.9% saved)
ival-mult: 10.0ms (26.1% of total)ival-div: 8.0ms (20.9% of total)ival-exp: 6.0ms (15.6% of total)ival-add: 5.0ms (13% of total)ival-sqrt: 5.0ms (13% of total)ival-sub: 2.0ms (5.2% of total)ival-pi: 1.0ms (2.6% of total)ival-neg: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (+ c (+ 1 (/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))))))> |
#<alt (+ c (+ 1 (/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)))))> |
#<alt (+ 1 (/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))))> |
#<alt (/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)))> |
#<alt (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))> |
#<alt (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))> |
#<alt (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))))> |
#<alt (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))> |
#<alt (* (sqrt (PI)) cosTheta)> |
#<alt (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))> |
#<alt (/ 1 (sqrt (PI)))> |
#<alt (- (- 1 cosTheta) cosTheta)> |
| Outputs |
|---|
#<alt (/ 1 (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))> |
#<alt (+ (* -1 (/ c (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))))> |
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#<alt (* cosTheta (sqrt (PI)))> |
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#<alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))> |
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#<alt (- (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 2)))))) (+ (* 1/16 (/ (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 3)))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (- (* 1/4 (/ cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 3)))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 2))))))) (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))))))))) (pow cosTheta 6))) (+ (* 1/4 (/ 1 (* (pow cosTheta 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 3))))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 2)))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 2))))))))> |
#<alt (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))))> |
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#<alt (- (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2)))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) 2)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) 2)))))) (* 1/4 (/ 1 (* (pow cosTheta 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) 3))))))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (- (* -1/4 (/ cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) 3)))))) (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) 2)))))))) (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2)))))))))))) (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) 2)))))) (* 1/16 (/ (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) 3)))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) 2)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) 2)))))) (* 1/4 (/ 1 (* (pow cosTheta 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) 3))))))))))> |
#<alt (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))> |
#<alt (+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))> |
#<alt (+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))> |
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#<alt c> |
#<alt (* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt (* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt (* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt c> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1)))> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1)))> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1)))> |
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)> |
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#<alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))> |
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#<alt (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2)))))))> |
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#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
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#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)> |
#<alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))> |
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#<alt (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3))))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))))))> |
#<alt (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))> |
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#<alt (+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))> |
#<alt (+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))> |
#<alt (/ 1 c)> |
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c)> |
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#<alt (/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c)> |
#<alt (/ 1 c)> |
#<alt (* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))> |
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#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))> |
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#<alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))> |
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#<alt (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))> |
#<alt (- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))))> |
#<alt (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))> |
#<alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))> |
#<alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))> |
#<alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))> |
#<alt c> |
#<alt (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt c> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))> |
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)> |
#<alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))> |
#<alt (+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))> |
#<alt (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))> |
#<alt (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))> |
#<alt (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))> |
#<alt (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))))> |
#<alt (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))> |
#<alt (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* (pow cosTheta 2) (sqrt (PI)))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (sqrt (PI)) (* 1/2 (* (pow cosTheta 2) (sqrt (PI))))))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (sqrt (PI)))) (* 1/2 (sqrt (PI)))))))))> |
#<alt (* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI)))> |
#<alt (* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI)))> |
#<alt (* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI)))> |
#<alt (* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI)))> |
#<alt (* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI)))> |
#<alt (* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI)))> |
#<alt (* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI)))> |
#<alt (* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI)))> |
#<alt 1> |
#<alt (+ 1 (* -2 cosTheta))> |
#<alt (+ 1 (* -2 cosTheta))> |
#<alt (+ 1 (* -2 cosTheta))> |
#<alt (* -2 cosTheta)> |
#<alt (* cosTheta (- (/ 1 cosTheta) 2))> |
#<alt (* cosTheta (- (/ 1 cosTheta) 2))> |
#<alt (* cosTheta (- (/ 1 cosTheta) 2))> |
#<alt (* -2 cosTheta)> |
#<alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta))))> |
#<alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta))))> |
#<alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta))))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | cosTheta | @ | inf | (/ 1 (+ c (+ 1 (/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)))))) |
| 6.0ms | cosTheta | @ | -inf | (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
| 5.0ms | cosTheta | @ | -inf | (/ 1 (+ c (+ 1 (/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)))))) |
| 4.0ms | cosTheta | @ | inf | (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) |
| 3.0ms | cosTheta | @ | inf | (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
| 1× | batch-egg-rewrite |
| 5 568× | *-lowering-*.f32 |
| 5 568× | *-lowering-*.f64 |
| 3 792× | /-lowering-/.f32 |
| 3 792× | /-lowering-/.f64 |
| 2 320× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 178 |
| 1 | 196 | 169 |
| 2 | 1738 | 165 |
| 0 | 8672 | 159 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ c (+ 1 (/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)))))) |
(+ c (+ 1 (/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))))) |
(+ 1 (/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)))) |
(/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))) |
(* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) |
(* (/ 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)))) |
(* (sqrt (PI)) cosTheta) |
(* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) |
(/ 1 (sqrt (PI))) |
(- (- 1 cosTheta) cosTheta) |
| Outputs |
|---|
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))))) |
(exp.f32 (*.f32 (log1p.f32 (+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) c)) #s(literal -1 binary32))) |
(pow.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal -1 binary32)) |
(pow.f32 (neg.f32 (neg.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) #s(literal -1/2 binary32)) |
(pow.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) c))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))))))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))))) |
(*.f32 (pow.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 c (*.f32 c c)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 3 binary32)))) (+.f32 (*.f32 c c) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) c)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 c (*.f32 c c)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 c c) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) c)))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 c c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (-.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 c c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) #s(literal -1 binary32))) |
(exp.f32 (neg.f32 (*.f32 (log1p.f32 (+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) c)) #s(literal -1 binary32)))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) c)) |
(+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) |
(+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) c)) |
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) c) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) |
(+.f32 (+.f32 c (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 1 binary32)) |
(pow.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (+.f32 (*.f32 c c) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) c))) (+.f32 (*.f32 c (*.f32 c c)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) (-.f32 (*.f32 c c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) |
(fma.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) c)) |
(fma.f32 c #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) |
(fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c)) |
(fma.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) |
(fma.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (pow.f32 (/.f32 (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) c)) |
(fma.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) (+.f32 #s(literal 1 binary32) c)) |
(fma.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 3/2 binary32)) (exp.f32 (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 3 binary32)))) (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (pow.f32 (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) c) |
(fma.f32 (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 c c))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (-.f32 c #s(literal 1 binary32))))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) |
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) c)) |
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) c)) |
(fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (pow.f32 (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) c) |
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 c c)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) c)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) |
(fma.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) c)) |
(fma.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c)) |
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c)) |
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (pow.f32 (/.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) c)) |
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(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) (neg.f32 (-.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)))) |
(*.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) |
(*.f32 (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))) (pow.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (-.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)))))) |
(*.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))))))) |
(*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta) |
(*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
(*.f32 (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))) |
(*.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta) |
(*.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal -1/2 binary32))) |
(exp.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))))) |
(pow.f32 (PI.f32) #s(literal -1/2 binary32)) |
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)) |
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/4 binary32)) |
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) |
(pow.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) #s(literal 2 binary32)) |
(/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) |
(*.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 1 binary32)) |
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(*.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) (pow.f32 (PI.f32) #s(literal -1/4 binary32))) |
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal -1 binary32))) |
(+.f32 #s(literal 1 binary32) (neg.f32 (*.f32 #s(literal 2 binary32) cosTheta))) |
(+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 cosTheta) (neg.f32 cosTheta))) |
(+.f32 #s(literal 1 binary32) (-.f32 (neg.f32 cosTheta) cosTheta)) |
(+.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta)) |
(+.f32 (neg.f32 cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) |
(pow.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) #s(literal -1 binary32)) |
(fma.f32 cosTheta #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) |
(fma.f32 cosTheta (log.f32 (exp.f32 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) cosTheta)) |
(fma.f32 #s(literal -1 binary32) cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) |
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))) (neg.f32 cosTheta)) |
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 cosTheta)) |
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) |
(-.f32 #s(literal 1 binary32) (-.f32 cosTheta (neg.f32 cosTheta))) |
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))))) (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))))) |
(-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))) (/.f32 (*.f32 cosTheta cosTheta) (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))) |
(-.f32 (+.f32 (-.f32 #s(literal 1 binary32) cosTheta) #s(literal 0 binary32)) cosTheta) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))))) |
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))))) |
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta))))) |
(/.f32 (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))) |
(/.f32 (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (neg.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (neg.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta)))))) |
(/.f32 (neg.f32 (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (neg.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))) |
(/.f32 (neg.f32 (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (neg.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 8 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) cosTheta) (*.f32 #s(literal 2 binary32) cosTheta)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) cosTheta) (*.f32 #s(literal 2 binary32) cosTheta))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) |
(/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))))) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (*.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))))) |
(/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))) (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta cosTheta))) (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (neg.f32 (neg.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))))))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))))) (neg.f32 (neg.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 8 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) cosTheta) (*.f32 #s(literal 2 binary32) cosTheta)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) cosTheta) (*.f32 #s(literal 2 binary32) cosTheta)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) |
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))))) |
(*.f32 (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (/.f32 #s(literal 1 binary32) (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))) |
| 1× | egg-herbie |
| 7 122× | accelerator-lowering-fma.f32 |
| 7 122× | accelerator-lowering-fma.f64 |
| 6 122× | *-lowering-*.f32 |
| 6 122× | *-lowering-*.f64 |
| 3 326× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 678 | 7624 |
| 1 | 2060 | 7233 |
| 0 | 8082 | 6978 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c))) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/ 1 c) |
(* -1 (/ (- (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c)) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
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(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))) |
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(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2)))))))) |
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c |
(* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
c |
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(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))))))) cosTheta) |
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))) |
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(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) |
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
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(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) |
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(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
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(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
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(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/ 1 c) |
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))))) |
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) |
(- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))))))) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))) |
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* (pow cosTheta 2) (sqrt (PI))))) |
(* cosTheta (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (sqrt (PI)) (* 1/2 (* (pow cosTheta 2) (sqrt (PI)))))))) |
(* cosTheta (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))))))) |
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI))) |
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI))) |
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI))) |
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI))) |
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI))) |
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI))) |
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI))) |
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI))) |
1 |
(+ 1 (* -2 cosTheta)) |
(+ 1 (* -2 cosTheta)) |
(+ 1 (* -2 cosTheta)) |
(* -2 cosTheta) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(* -2 cosTheta) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) |
| Outputs |
|---|
(/ 1 (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 2 binary32)))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(+.f32 (*.f32 c (+.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 2 binary32))) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) (*.f32 c (+.f32 (*.f32 c (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 3 binary32))) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 4 binary32))))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 2 binary32)))))) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c))) c) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) c)) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/.f32 (+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 2 binary32)) (*.f32 c c)) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)))))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 3 binary32)) (*.f32 c (*.f32 c c)))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 2 binary32)) (*.f32 c c)))) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* -1 (/ (- (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(/.f32 (+.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))))) (neg.f32 c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c)) |
(neg.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) c))) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c)) |
(/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 2 binary32))) (neg.f32 c)) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) c))) (neg.f32 c)) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (neg.f32 (+.f32 (*.f32 cosTheta (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 (-.f32 (-.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))))) (neg.f32 cosTheta)) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))))) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) |
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 2)))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))) |
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(- (+ (* 1/4 (/ 1 (* (pow cosTheta 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 3))))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 2)))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 2)))))))) |
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(- (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 2)))))) (+ (* 1/16 (/ (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 3)))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (- (* 1/4 (/ cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 3)))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 2))))))) (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))))))))) (pow cosTheta 6))) (+ (* 1/4 (/ 1 (* (pow cosTheta 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 3))))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 2)))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 2)))))))) |
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(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2)))))))) |
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))) 2)))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))))))) |
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c |
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c |
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
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(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) (+ (* -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)))))))))) |
(+.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 cosTheta #s(literal 5 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))))))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) cosTheta) |
(/.f32 (+.f32 cosTheta (+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) cosTheta))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))))))) cosTheta) |
(/.f32 (+.f32 cosTheta (+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 (*.f32 cosTheta #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta) |
(+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(+ 1 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -2 binary32)))))) |
(+ 1 (+ (* -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 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -2 binary32)))))) |
(+ 1 (+ (* -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 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -2 binary32))))) (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))))))) |
(+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2)))))) |
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2))))))) |
(+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta))))) |
(+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) (+ (* -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)))))))) |
(+.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 cosTheta #s(literal 5 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) #s(literal 1 binary32))) |
(+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) (+ (* -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))))))))) |
(+.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 cosTheta #s(literal 5 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))))) #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 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/.f32 (+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) 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 (+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 (*.f32 cosTheta #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))) |
(+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -2 binary32))))) |
(+ (* -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 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) |
(+.f32 (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -2 binary32))))) |
(+ (* -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 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))) |
(+.f32 (+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -2 binary32))))) (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) |
(neg.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2)))))) |
(-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) (+ (* -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))))))) |
(+.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 cosTheta #s(literal 5 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (sqrt 2)) (exp (pow cosTheta 2))))) (+ (* -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)))))))) |
(+.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 cosTheta #s(literal 5 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 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 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/.f32 (+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) 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 (+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 (*.f32 cosTheta #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
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(+ (* -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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(+ (* -1/8 (* (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 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(-.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))))) |
(+ (* -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 (* (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) (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 (neg.f32 cosTheta) #s(literal 1 binary32)) (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 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (*.f32 cosTheta #s(literal -1/2 binary32)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta) |
(/.f32 (+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1/2 binary32) (*.f32 cosTheta #s(literal -1/2 binary32)))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) |
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) #s(literal 1/2 binary32)) (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)))) |
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(+ (* -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))))) |
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(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
(neg.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2))))) |
(-.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))))) |
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(+ (* -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))))))) |
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(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(+ (* -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) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #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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(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
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(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) 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 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 2 binary32)) (*.f32 c c)) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta 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 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 3 binary32)) (*.f32 c (*.f32 c c)))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 2 binary32)) (*.f32 c c)))) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(/.f32 (+.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))))) (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)) |
(neg.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) c))) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 2 binary32))) (neg.f32 c)) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) c))) (neg.f32 c)) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (neg.f32 (+.f32 (*.f32 cosTheta (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 (-.f32 (-.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))))) (neg.f32 cosTheta)) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))))) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) |
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (+.f32 #s(literal 1 binary32) c))) |
(+ (* -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 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (+.f32 #s(literal 1 binary32) c))) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta #s(literal -1/4 binary32)) (exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (*.f32 (PI.f32) #s(literal -2 binary32))) (pow.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (*.f32 cosTheta (*.f32 cosTheta (/.f32 cosTheta (PI.f32)))))) (/.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta)))) (pow.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (+.f32 #s(literal 1 binary32) c)))) (*.f32 #s(literal 1/16 binary32) (+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (pow.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (*.f32 (PI.f32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 4 binary32)))) (pow.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (+.f32 (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))))) (pow.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))) (+.f32 (/.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -2 binary32)))) (pow.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal -1/4 binary32) (exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (*.f32 (*.f32 (*.f32 cosTheta (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) #s(literal -2 binary32)) (pow.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32))))))) |
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))))))) |
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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 |
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(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
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(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) |
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(/ (+ (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) |
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(+.f32 (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))))) (+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))))))) (+.f32 #s(literal 1 binary32) c)) |
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))))) |
(+.f32 (-.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))))) (+.f32 #s(literal 1 binary32) c)) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
(+.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))))) (+.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 cosTheta #s(literal 5 binary32)))) (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) #s(literal 1/8 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 (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))))) (+.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (+.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 cosTheta #s(literal 5 binary32)))) (*.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) #s(literal 1/8 binary32))) (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))))))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* (pow cosTheta 2) (sqrt (PI))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (sqrt (PI)) (* 1/2 (* (pow cosTheta 2) (sqrt (PI)))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (+.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))))) |
(* cosTheta (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))))))) |
(*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta (*.f32 cosTheta (*.f32 (sqrt.f32 (PI.f32)) (+.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/6 binary32)) #s(literal 1/2 binary32)))))))) |
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI))) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 cosTheta)) |
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) |
(+ 1 (* -2 cosTheta)) |
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) |
(+ 1 (* -2 cosTheta)) |
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) |
(* -2 cosTheta) |
(*.f32 cosTheta #s(literal -2 binary32)) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(*.f32 cosTheta (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(*.f32 cosTheta (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) |
(* cosTheta (- (/ 1 cosTheta) 2)) |
(*.f32 cosTheta (+.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) |
(* -2 cosTheta) |
(*.f32 cosTheta #s(literal -2 binary32)) |
(* -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)) |
Compiled 23 567 to 2 475 computations (89.5% saved)
24 alts after pruning (24 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 555 | 24 | 579 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 557 | 24 | 581 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.8% | (pow.f32 (pow.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
| 59.6% | (pow.f32 (*.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)) (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1/2 binary32)) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c))) | |
| 92.5% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) #s(literal 1 binary32)) c)) | |
| 95.8% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta))) | |
| 92.3% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) | |
| ▶ | 98.6% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| ▶ | 98.0% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 95.8% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) | |
| 98.5% | (/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))) | |
| 96.5% | (/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) | |
| 59.4% | (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) (neg.f32 c))) (neg.f32 c))) | |
| 59.3% | (/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))))))) | |
| ▶ | 4.9% | (/.f32 #s(literal 1 binary32) c) |
| 59.4% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 c c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (-.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) | |
| 38.3% | (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))) (pow.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) #s(literal 3 binary32)))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (-.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))))) | |
| ▶ | 96.4% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
| 93.1% | (*.f32 cosTheta (sqrt.f32 (PI.f32))) | |
| 90.3% | (exp.f32 (*.f32 (log1p.f32 (+.f32 c (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1 binary32))) |
Compiled 1 242 to 762 computations (38.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)) |
| ✓ | cost-diff | 0 | (pow.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) |
| ✓ | cost-diff | 32 | (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) |
| ✓ | cost-diff | 6400 | (pow.f32 (pow.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
| ✓ | cost-diff | 0 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (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) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| ✓ | cost-diff | 32 | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| ✓ | cost-diff | 64 | (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) |
| ✓ | cost-diff | 0 | (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))) |
| ✓ | cost-diff | 0 | (PI.f32) |
| ✓ | cost-diff | 0 | (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32)))) |
| ✓ | cost-diff | 0 | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) c) |
| ✓ | cost-diff | 0 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)) 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 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| ✓ | cost-diff | 32 | (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| ✓ | cost-diff | 64 | (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)) cosTheta))) |
| 7 824× | accelerator-lowering-fma.f32 |
| 7 824× | accelerator-lowering-fma.f64 |
| 3 262× | *-lowering-*.f32 |
| 3 262× | *-lowering-*.f64 |
| 1 708× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 474 |
| 1 | 112 | 445 |
| 2 | 272 | 440 |
| 3 | 726 | 440 |
| 4 | 2299 | 440 |
| 5 | 3894 | 440 |
| 6 | 5413 | 440 |
| 7 | 7020 | 440 |
| 0 | 8108 | 414 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (+ 1 c) (* (/ 1 (/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) |
1 |
(+ (+ 1 c) (* (/ 1 (/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) |
(+ 1 c) |
c |
(* (/ 1 (/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta))) (exp (* (neg cosTheta) cosTheta))) |
(/ 1 (/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta))) |
(/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta)) |
(pow (PI) 1/2) |
(PI) |
1/2 |
(/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta) |
(pow (- 1 (* 2 cosTheta)) 1/2) |
(- 1 (* 2 cosTheta)) |
(* 2 cosTheta) |
2 |
cosTheta |
(exp (* (neg cosTheta) cosTheta)) |
(* (neg cosTheta) cosTheta) |
(neg cosTheta) |
(/ 1 c) |
1 |
c |
(* cosTheta (- (sqrt (PI)) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (* cosTheta (PI))))) |
cosTheta |
(- (sqrt (PI)) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (* cosTheta (PI)))) |
(sqrt (PI)) |
(PI) |
(* (- (+ 1 c) (sqrt (/ 1 (PI)))) (* cosTheta (PI))) |
(- (+ 1 c) (sqrt (/ 1 (PI)))) |
(+ 1 c) |
1 |
c |
(sqrt (/ 1 (PI))) |
(/ 1 (PI)) |
(* cosTheta (PI)) |
(/ 1 (+ (+ 1 c) (* (* (/ 1 cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (exp (* (neg cosTheta) cosTheta))))) |
1 |
(+ (+ 1 c) (* (* (/ 1 cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (exp (* (neg cosTheta) cosTheta)))) |
(+ 1 c) |
c |
(* (* (/ 1 cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (exp (* (neg cosTheta) cosTheta))) |
(* (/ 1 cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(/ 1 cosTheta) |
cosTheta |
(sqrt (/ (- 1 (* 2 cosTheta)) (PI))) |
(/ (- 1 (* 2 cosTheta)) (PI)) |
(- 1 (* 2 cosTheta)) |
(* 2 cosTheta) |
2 |
(PI) |
(exp (* (neg cosTheta) cosTheta)) |
(* (neg cosTheta) cosTheta) |
(neg cosTheta) |
(pow (pow (+ (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) (+ 1 c)) -1/2) 2) |
(pow (+ (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) (+ 1 c)) -1/2) |
(+ (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) (+ 1 c)) |
(* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) |
(/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) |
(sqrt (/ (- 1 (* 2 cosTheta)) (PI))) |
(/ (- 1 (* 2 cosTheta)) (PI)) |
(- 1 (* 2 cosTheta)) |
1 |
(* 2 cosTheta) |
2 |
cosTheta |
(PI) |
(exp (neg (* cosTheta cosTheta))) |
(neg (* cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(+ 1 c) |
c |
-1/2 |
| Outputs |
|---|
(/ 1 (+ (+ 1 c) (* (/ 1 (/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) |
1 |
#s(literal 1 binary32) |
(+ (+ 1 c) (* (/ 1 (/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(* (/ 1 (/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta))) (exp (* (neg cosTheta) cosTheta))) |
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) |
(/ 1 (/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta))) |
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta)) |
(/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta)) |
(/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta)) |
(pow (PI) 1/2) |
(pow.f32 (PI.f32) #s(literal 1/2 binary32)) |
(PI) |
(PI.f32) |
1/2 |
#s(literal 1/2 binary32) |
(/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta) |
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta) |
(pow (- 1 (* 2 cosTheta)) 1/2) |
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) |
(- 1 (* 2 cosTheta)) |
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) |
(* 2 cosTheta) |
(*.f32 #s(literal 2 binary32) cosTheta) |
2 |
#s(literal 2 binary32) |
cosTheta |
(exp (* (neg cosTheta) cosTheta)) |
(exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) |
(* (neg cosTheta) cosTheta) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
(neg cosTheta) |
(neg.f32 cosTheta) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
1 |
#s(literal 1 binary32) |
c |
(* cosTheta (- (sqrt (PI)) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (* cosTheta (PI))))) |
(*.f32 cosTheta (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (*.f32 (PI.f32) cosTheta) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal -1 binary32) c))))) |
cosTheta |
(- (sqrt (PI)) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (* cosTheta (PI)))) |
(+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (*.f32 (PI.f32) cosTheta) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal -1 binary32) c)))) |
(sqrt (PI)) |
(pow.f32 (PI.f32) #s(literal 1/2 binary32)) |
(PI) |
(PI.f32) |
(* (- (+ 1 c) (sqrt (/ 1 (PI)))) (* cosTheta (PI))) |
(*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (PI.f32) cosTheta)) |
(- (+ 1 c) (sqrt (/ 1 (PI)))) |
(-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
1 |
#s(literal 1 binary32) |
c |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(/ 1 (PI)) |
(/.f32 #s(literal 1 binary32) (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 (PI.f32) cosTheta) |
(/ 1 (+ (+ 1 c) (* (* (/ 1 cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (exp (* (neg cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
1 |
#s(literal 1 binary32) |
(+ (+ 1 c) (* (* (/ 1 cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (exp (* (neg cosTheta) cosTheta)))) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(* (* (/ 1 cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (exp (* (neg cosTheta) cosTheta))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) cosTheta) |
(/ 1 cosTheta) |
(/.f32 #s(literal 1 binary32) cosTheta) |
cosTheta |
(sqrt (/ (- 1 (* 2 cosTheta)) (PI))) |
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) |
(/ (- 1 (* 2 cosTheta)) (PI)) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) |
(- 1 (* 2 cosTheta)) |
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) |
(* 2 cosTheta) |
(*.f32 #s(literal 2 binary32) cosTheta) |
2 |
#s(literal 2 binary32) |
(PI) |
(PI.f32) |
(exp (* (neg cosTheta) cosTheta)) |
(exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) |
(* (neg cosTheta) cosTheta) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
(neg cosTheta) |
(neg.f32 cosTheta) |
(pow (pow (+ (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) (+ 1 c)) -1/2) 2) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(pow (+ (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) (+ 1 c)) -1/2) |
(pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal -1/2 binary32)) |
(+ (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) (+ 1 c)) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) |
(* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
(/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) cosTheta) |
(sqrt (/ (- 1 (* 2 cosTheta)) (PI))) |
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) |
(/ (- 1 (* 2 cosTheta)) (PI)) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) |
(- 1 (* 2 cosTheta)) |
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) |
1 |
#s(literal 1 binary32) |
(* 2 cosTheta) |
(*.f32 #s(literal 2 binary32) cosTheta) |
2 |
#s(literal 2 binary32) |
cosTheta |
(PI) |
(PI.f32) |
(exp (neg (* cosTheta cosTheta))) |
(exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) |
(neg (* cosTheta cosTheta)) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
-1/2 |
#s(literal -1/2 binary32) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (pow.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) |
| ✓ | accuracy | 98.3% | (pow.f32 (pow.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
| ✓ | accuracy | 98.2% | (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) |
| ✓ | accuracy | 97.6% | (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) |
| ✓ | accuracy | 99.8% | (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| ✓ | accuracy | 98.4% | (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) |
| ✓ | accuracy | 97.6% | (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) |
| ✓ | accuracy | 98.9% | (*.f32 cosTheta (PI.f32)) |
| ✓ | accuracy | 98.8% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
| ✓ | accuracy | 96.9% | (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
| ✓ | accuracy | 96.9% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
| ✓ | accuracy | 100.0% | (/.f32 #s(literal 1 binary32) c) |
| ✓ | accuracy | 99.9% | (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)) cosTheta) |
| ✓ | accuracy | 99.1% | (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)) cosTheta))) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| ✓ | accuracy | 98.8% | (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)) cosTheta)) |
| 103.0ms | 256× | 0 | valid |
Compiled 483 to 46 computations (90.5% saved)
ival-div: 35.0ms (43.9% of total)ival-mult: 15.0ms (18.8% of total)ival-sqrt: 7.0ms (8.8% of total)ival-add: 5.0ms (6.3% of total)ival-pow: 5.0ms (6.3% of total)ival-exp: 4.0ms (5% of total)ival-sub: 3.0ms (3.8% of total)ival-pow2: 3.0ms (3.8% of total)ival-neg: 2.0ms (2.5% of total)ival-pi: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta)))> |
#<alt (* (/ 1 (/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta))) (exp (* (neg cosTheta) cosTheta)))> |
#<alt (/ 1 (+ (+ 1 c) (* (/ 1 (/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta))) (exp (* (neg cosTheta) cosTheta)))))> |
#<alt (+ (+ 1 c) (* (/ 1 (/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta))) (exp (* (neg cosTheta) cosTheta))))> |
#<alt (/ 1 c)> |
#<alt (* cosTheta (- (sqrt (PI)) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (* cosTheta (PI)))))> |
#<alt (- (sqrt (PI)) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (* cosTheta (PI))))> |
#<alt (PI)> |
#<alt (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (* cosTheta (PI)))> |
#<alt (* (/ 1 cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))> |
#<alt (* (* (/ 1 cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (exp (* (neg cosTheta) cosTheta)))> |
#<alt (/ 1 (+ (+ 1 c) (* (* (/ 1 cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (exp (* (neg cosTheta) cosTheta)))))> |
#<alt (+ (+ 1 c) (* (* (/ 1 cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (exp (* (neg cosTheta) cosTheta))))> |
#<alt (pow (pow (+ (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) (+ 1 c)) -1/2) 2)> |
#<alt (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta))))> |
#<alt (pow (+ (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) (+ 1 c)) -1/2)> |
#<alt (+ (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) (+ 1 c))> |
#<alt (/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta))> |
#<alt (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta)> |
#<alt (sqrt (/ 1 (PI)))> |
#<alt (- (+ 1 c) (sqrt (/ 1 (PI))))> |
#<alt (* cosTheta (PI))> |
#<alt (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))> |
#<alt (/ (- 1 (* 2 cosTheta)) (PI))> |
#<alt (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta)> |
| Outputs |
|---|
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)> |
#<alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))> |
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#<alt (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3))))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))))))> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | cosTheta | @ | inf | (pow (+ (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) (+ 1 c)) -1/2) |
| 5.0ms | cosTheta | @ | inf | (pow (pow (+ (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) (+ 1 c)) -1/2) 2) |
| 4.0ms | cosTheta | @ | -inf | (pow (pow (+ (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) (+ 1 c)) -1/2) 2) |
| 3.0ms | cosTheta | @ | -inf | (pow (+ (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) (+ 1 c)) -1/2) |
| 3.0ms | c | @ | inf | (pow (pow (+ (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) (+ 1 c)) -1/2) 2) |
| 1× | batch-egg-rewrite |
| 4 058× | accelerator-lowering-fma.f32 |
| 4 058× | accelerator-lowering-fma.f64 |
| 3 392× | *-lowering-*.f32 |
| 3 392× | *-lowering-*.f64 |
| 3 164× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 359 |
| 1 | 298 | 307 |
| 2 | 2448 | 307 |
| 0 | 8475 | 290 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta))) |
(* (/ 1 (/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta))) (exp (* (neg cosTheta) cosTheta))) |
(/ 1 (+ (+ 1 c) (* (/ 1 (/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) |
(+ (+ 1 c) (* (/ 1 (/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) |
(/ 1 c) |
(* cosTheta (- (sqrt (PI)) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (* cosTheta (PI))))) |
(- (sqrt (PI)) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (* cosTheta (PI)))) |
(PI) |
(* (- (+ 1 c) (sqrt (/ 1 (PI)))) (* cosTheta (PI))) |
(* (/ 1 cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (* (/ 1 cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (exp (* (neg cosTheta) cosTheta))) |
(/ 1 (+ (+ 1 c) (* (* (/ 1 cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (exp (* (neg cosTheta) cosTheta))))) |
(+ (+ 1 c) (* (* (/ 1 cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (exp (* (neg cosTheta) cosTheta)))) |
(pow (pow (+ (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) (+ 1 c)) -1/2) 2) |
(* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) |
(pow (+ (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) (+ 1 c)) -1/2) |
(+ (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta)))) (+ 1 c)) |
(/ (pow (PI) 1/2) (/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta)) |
(/ (pow (- 1 (* 2 cosTheta)) 1/2) cosTheta) |
(sqrt (/ 1 (PI))) |
(- (+ 1 c) (sqrt (/ 1 (PI)))) |
(* cosTheta (PI)) |
(sqrt (/ (- 1 (* 2 cosTheta)) (PI))) |
(/ (- 1 (* 2 cosTheta)) (PI)) |
(/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) |
| Outputs |
|---|
(neg.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (neg.f32 cosTheta))) |
(neg.f32 (/.f32 (neg.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) cosTheta)) |
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))))) |
(exp.f32 (*.f32 (log.f32 (/.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)))) #s(literal -1 binary32))) |
(exp.f32 (+.f32 (*.f32 (log.f32 cosTheta) #s(literal -1 binary32)) (*.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) #s(literal 1/2 binary32)))) |
(exp.f32 (+.f32 (*.f32 (log.f32 cosTheta) #s(literal -1 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))))) |
(exp.f32 (+.f32 (*.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) #s(literal 1/2 binary32)) (*.f32 (log.f32 cosTheta) #s(literal -1 binary32)))) |
(exp.f32 (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))) (*.f32 (log.f32 cosTheta) #s(literal -1 binary32)))) |
(pow.f32 (/.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) cosTheta) #s(literal 1 binary32)) |
(pow.f32 (pow.f32 (/.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) #s(literal -1/2 binary32)) |
(pow.f32 (pow.f32 (/.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 (log.f32 (/.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))))) #s(literal -1 binary32)) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 cosTheta)) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (neg.f32 cosTheta))) |
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (neg.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 (neg.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (neg.f32 cosTheta))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (neg.f32 cosTheta)))) |
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)))) |
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta)) |
(/.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(/.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta) (neg.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)))) |
(/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) cosTheta) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))))) |
(/.f32 (neg.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta)) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(/.f32 (neg.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) (neg.f32 cosTheta)) |
(/.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) (*.f32 (neg.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(/.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (neg.f32 cosTheta))) |
(/.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) (neg.f32 (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(/.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) (neg.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta))) |
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (neg.f32 (/.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))))) |
(/.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(/.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta)) |
(/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta)) |
(/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (neg.f32 cosTheta))) |
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (neg.f32 cosTheta))) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)))) (neg.f32 (neg.f32 cosTheta))) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)))) (neg.f32 (*.f32 (neg.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)))) (neg.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (neg.f32 cosTheta)))) |
(/.f32 (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (neg.f32 cosTheta)) |
(/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)))) (neg.f32 cosTheta)) |
(/.f32 (/.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) |
(/.f32 (/.f32 (neg.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) #s(literal -1 binary32)) cosTheta) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)))) (neg.f32 (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)))) (neg.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta))) |
(/.f32 (neg.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta))) |
(/.f32 (neg.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) #s(literal -1 binary32))) (neg.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (neg.f32 cosTheta)))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))))) (neg.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (neg.f32 cosTheta)))) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))))) (neg.f32 (neg.f32 (neg.f32 cosTheta)))) |
(/.f32 (neg.f32 (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) #s(literal -1 binary32))) (neg.f32 (neg.f32 cosTheta))) |
(/.f32 (neg.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))))) (neg.f32 (neg.f32 cosTheta))) |
(/.f32 (neg.f32 (/.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)))) |
(/.f32 (neg.f32 (/.f32 (neg.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) #s(literal -1 binary32))) (neg.f32 cosTheta)) |
(*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) cosTheta)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) cosTheta) #s(literal 1 binary32)) |
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta)) |
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))))) |
(*.f32 (neg.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) cosTheta)) |
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (neg.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta))) |
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (pow.f32 (/.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta)) #s(literal -1 binary32))) |
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))) |
(*.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (/.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)))) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta)) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (/.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) #s(literal -1 binary32)) (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta)) |
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(PI.f32) |
(exp.f32 (log.f32 (PI.f32))) |
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))) #s(literal 3 binary32))) |
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32))) |
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32))) |
(fabs.f32 (PI.f32)) |
(pow.f32 (PI.f32) #s(literal 1 binary32)) |
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(pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal -1 binary32)) |
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(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) |
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32)) |
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32)) |
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(/.f32 (neg.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) #s(literal -1 binary32))) (neg.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (neg.f32 cosTheta)))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))))) (neg.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (neg.f32 cosTheta)))) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))))) (neg.f32 (neg.f32 (neg.f32 cosTheta)))) |
(/.f32 (neg.f32 (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) #s(literal -1 binary32))) (neg.f32 (neg.f32 cosTheta))) |
(/.f32 (neg.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))))) (neg.f32 (neg.f32 cosTheta))) |
(/.f32 (neg.f32 (/.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)))) |
(/.f32 (neg.f32 (/.f32 (neg.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) #s(literal -1 binary32))) (neg.f32 cosTheta)) |
(*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) cosTheta)) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) cosTheta) #s(literal 1 binary32)) |
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta)) |
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))))) |
(*.f32 (neg.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) cosTheta)) |
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (neg.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta))) |
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (pow.f32 (/.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta)) #s(literal -1 binary32))) |
(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))) |
(*.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (/.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)))) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) cosTheta)) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (/.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) #s(literal -1 binary32)) (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta)) |
| 1× | egg-herbie |
| 9 762× | accelerator-lowering-fma.f32 |
| 9 762× | accelerator-lowering-fma.f64 |
| 6 912× | *-lowering-*.f32 |
| 6 912× | *-lowering-*.f64 |
| 4 692× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1017 | 16376 |
| 1 | 3456 | 15711 |
| 0 | 8213 | 15162 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3))))))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/ 1 c) |
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))))) |
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) |
(- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))))))) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) |
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(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
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(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))))) |
(* -1 (* (pow cosTheta 2) (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* -1 (* (pow cosTheta 2) (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) |
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(* -1 (* c (* (pow cosTheta 2) (PI)))) |
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(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c))) |
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (+ (* -1 (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c)) (* (pow cosTheta 2) (PI))))) |
(* -1 (* c (+ (* -1 (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c)) (* (pow cosTheta 2) (PI))))) |
(* -1 (* c (+ (* -1 (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c)) (* (pow cosTheta 2) (PI))))) |
(- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(- (+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(- (+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(- (+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(* -1 (* c (* cosTheta (PI)))) |
(* c (- (* (/ 1 c) (sqrt (PI))) (+ (* cosTheta (PI)) (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c)))) |
(* c (- (* (/ 1 c) (sqrt (PI))) (+ (* cosTheta (PI)) (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c)))) |
(* c (- (* (/ 1 c) (sqrt (PI))) (+ (* cosTheta (PI)) (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c)))) |
(* -1 (* c (* cosTheta (PI)))) |
(* -1 (* c (- (* -1 (/ (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) c)) (* -1 (* cosTheta (PI)))))) |
(* -1 (* c (- (* -1 (/ (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) c)) (* -1 (* cosTheta (PI)))))) |
(* -1 (* c (- (* -1 (/ (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) c)) (* -1 (* cosTheta (PI)))))) |
(sqrt (PI)) |
(+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))))) |
(* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))) |
(* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))))) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))))) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))))) |
(* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) |
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(+ (* c (* cosTheta (PI))) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
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(* c (* cosTheta (PI))) |
(* c (+ (* cosTheta (PI)) (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c))) |
(* c (+ (* cosTheta (PI)) (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c))) |
(* c (+ (* cosTheta (PI)) (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c))) |
(* c (* cosTheta (PI))) |
(* -1 (* c (+ (* -1 (* cosTheta (PI))) (* -1 (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c))))) |
(* -1 (* c (+ (* -1 (* cosTheta (PI))) (* -1 (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c))))) |
(* -1 (* c (+ (* -1 (* cosTheta (PI))) (* -1 (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (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 (PI)))) (sqrt -2)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) |
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(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/ 1 c) |
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) |
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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))))))))) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))) |
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (neg (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (neg (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2)))))))) |
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) |
(- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (neg (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))))))) |
(/ 1 (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/ 1 c) |
(* -1 (/ (- (+ (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (neg (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)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(* (pow (* 1 (PI)) 1/4) (sqrt cosTheta)) |
(+ (* -1/2 (* (pow (* 1 (pow (PI) 3)) 1/4) (* (sqrt (pow cosTheta 3)) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))) (* (pow (* 1 (PI)) 1/4) (sqrt cosTheta))) |
(+ (* (pow cosTheta 2) (+ (* -1/2 (* (pow (* 1 (pow (PI) 3)) 1/4) (* (sqrt (/ 1 cosTheta)) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))) (* -1/2 (* (pow (/ 1 (PI)) 1/4) (* (sqrt cosTheta) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) (* (pow (* 1 (PI)) 1/4) (sqrt cosTheta))) |
(+ (* (pow cosTheta 2) (+ (* -1/2 (* (pow (* 1 (pow (PI) 3)) 1/4) (* (sqrt (/ 1 cosTheta)) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))) (* cosTheta (+ (* -1/2 (* (pow (/ 1 (PI)) 1/4) (* (sqrt 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)))))))) (+ (* 1/4 (* (/ (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2) cosTheta) (sqrt (pow (PI) 3)))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) (* -1/2 (* (pow (/ 1 (PI)) 1/4) (* (sqrt (/ 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)))))))))))))) (* (pow (* 1 (PI)) 1/4) (sqrt cosTheta))) |
(sqrt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) |
(+ (sqrt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) (* -1/4 (* (sqrt (/ 1 (* (pow cosTheta 3) (* (PI) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2))))) |
(+ (sqrt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/2 (* (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))) (+ (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 4)) (sqrt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))))) (* -1/4 (* (sqrt (/ 1 (* (pow cosTheta 3) (* (PI) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))))) |
(+ (sqrt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/2 (* (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (neg (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))) (* 1/4 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (neg (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))) (+ (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3)))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))))))))) (pow cosTheta 6)) (sqrt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))))) (+ (* -1/2 (* (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))) (+ (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 4)) (sqrt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))))) (* -1/4 (* (sqrt (/ 1 (* (pow cosTheta 3) (* (PI) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2))))))) |
(sqrt (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) |
(+ (sqrt (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 3) (* (PI) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(+ (sqrt (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (/ (+ (* -1/16 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))))) (pow cosTheta 4)) (sqrt (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))) (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 3) (* (PI) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))) |
(+ (sqrt (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (/ (+ (* -1/4 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (+ (* -1/16 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))) (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))))))) (pow cosTheta 6)) (sqrt (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))) (+ (* -1/2 (* (/ (+ (* -1/16 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))))) (pow cosTheta 4)) (sqrt (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))) (* 1/4 (* (sqrt (/ 1 (* (pow cosTheta 3) (* (PI) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))))) |
(sqrt (/ 1 (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(+ (sqrt (/ 1 (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* -1/2 (* c (sqrt (/ 1 (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* c (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (* 3/8 (* c (sqrt (/ 1 (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 5)))))))) |
(+ (sqrt (/ 1 (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* c (+ (* -1/2 (sqrt (/ 1 (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (* c (+ (* -5/16 (* c (sqrt (/ 1 (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 5))))))))) |
(sqrt (/ 1 c)) |
(+ (sqrt (/ 1 c)) (* -1/2 (* (sqrt (/ 1 (pow c 3))) (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) |
(+ (sqrt (/ 1 c)) (+ (* -1/2 (* (sqrt (/ 1 (pow c 3))) (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* 1/2 (* (sqrt (/ 1 (pow c 5))) (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))))) |
(+ (sqrt (/ 1 c)) (+ (* -1/2 (* (sqrt (/ 1 (pow c 3))) (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ (* -1/2 (* (sqrt (/ 1 (pow c 7))) (+ (* 1/4 (* c (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (* 1/2 (* (sqrt (/ 1 (pow c 5))) (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))))) |
(* (sqrt (/ 1 c)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow c 3))) (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow c 3))) (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow c 5))) (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt c) (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (* 1/2 (* (sqrt (/ 1 c)) (+ (* -1/4 (/ (* c (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) (pow (sqrt -1) 2))) (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3))))) (pow c 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow c 3))) (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) |
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))))) |
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))) |
(+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) |
(+ 1 (+ c (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
c |
(* c (+ 1 (+ (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(* 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 (* 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 (* 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 cosTheta) |
(/ (+ 1 (* -1 cosTheta)) cosTheta) |
(/ (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1))) cosTheta) |
(/ (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1))) cosTheta) |
(* (sqrt (/ 1 cosTheta)) (sqrt -2)) |
(+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2))))) |
(* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3))))))) |
(- 1 (sqrt (/ 1 (PI)))) |
(- (+ 1 c) (sqrt (/ 1 (PI)))) |
(- (+ 1 c) (sqrt (/ 1 (PI)))) |
(- (+ 1 c) (sqrt (/ 1 (PI)))) |
c |
(* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI)))))) |
(* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI)))))) |
(* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI)))))) |
c |
(* -1 (* c (- (* -1 (/ (- 1 (sqrt (/ 1 (PI)))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (- 1 (sqrt (/ 1 (PI)))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (- 1 (sqrt (/ 1 (PI)))) c)) 1))) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(/ 1 (PI)) |
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
(* -2 (/ cosTheta (PI))) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(* -2 (/ cosTheta (PI))) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (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 (PI)))) (sqrt -2)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3))))))) |
| Outputs |
|---|
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/.f32 (*.f32 (-.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 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal -1 binary32))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta) |
(/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal -1/2 binary32))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) |
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta 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)))) |
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #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))))) |
(+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -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) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -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 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))) |
(+ (* -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 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.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 (PI.f32) (pow.f32 cosTheta #s(literal 7 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 (-.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 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))))) 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 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 (*.f32 cosTheta #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+.f32 (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))))) (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(neg.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
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(+ (* -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 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(+ (* -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) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #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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(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
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(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) 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 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 binary32)) (*.f32 c c)) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta 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 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 3 binary32)) (*.f32 c (*.f32 c c)))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta c)))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 binary32)) (*.f32 c c)))) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta c))) (+.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 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) (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 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 binary32))) (neg.f32 c)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (neg.f32 (+.f32 (*.f32 cosTheta (-.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (neg.f32 (+.f32 (*.f32 cosTheta (-.f32 (-.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))))))) (-.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))))) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) |
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))))))) |
(+ (* -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))))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))))) #s(literal 2 binary32)))))) |
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cosTheta #s(literal 5 binary32)))))) (/.f32 (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))) #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (*.f32 (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))) #s(literal 3 binary32))))))) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta c)))))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta c)))))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta c)))))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) (neg.f32 c)) #s(literal -1 binary32)))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) (neg.f32 c)) #s(literal -1 binary32)))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) (neg.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))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (-.f32 (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) c)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 (*.f32 cosTheta #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) cosTheta) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))))) |
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 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 #s(literal 1 binary32) (+.f32 c (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -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 #s(literal 1 binary32) (+.f32 (+.f32 (+.f32 c (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))))) (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))))) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))))))) |
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))))) |
(+.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta 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)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 (+.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))))) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) |
(* -1 (* (pow cosTheta 2) (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))) |
(*.f32 (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* -1 (* (pow cosTheta 2) (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))) |
(*.f32 (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* (pow cosTheta 2) (+ (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))))) |
(-.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (*.f32 c (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))))) |
(-.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (*.f32 c (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))))) |
(-.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (*.f32 c (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(* -1 (* c (+ (* -1 (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c)) (* (pow cosTheta 2) (PI))))) |
(*.f32 (-.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) c)) (neg.f32 c)) |
(* -1 (* c (+ (* -1 (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c)) (* (pow cosTheta 2) (PI))))) |
(*.f32 (-.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) c)) (neg.f32 c)) |
(* -1 (* c (+ (* -1 (/ (* cosTheta (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c)) (* (pow cosTheta 2) (PI))))) |
(*.f32 (-.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) c)) (neg.f32 c)) |
(- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(- (+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(-.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(- (+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(-.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(- (+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(-.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(* -1 (* c (* cosTheta (PI)))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
(* c (- (* (/ 1 c) (sqrt (PI))) (+ (* cosTheta (PI)) (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c)))) |
(*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c))))) |
(* c (- (* (/ 1 c) (sqrt (PI))) (+ (* cosTheta (PI)) (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c)))) |
(*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c))))) |
(* c (- (* (/ 1 c) (sqrt (PI))) (+ (* cosTheta (PI)) (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c)))) |
(*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c))))) |
(* -1 (* c (* cosTheta (PI)))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
(* -1 (* c (- (* -1 (/ (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) c)) (* -1 (* cosTheta (PI)))))) |
(*.f32 (*.f32 (neg.f32 c) #s(literal -1 binary32)) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c))))) |
(* -1 (* c (- (* -1 (/ (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) c)) (* -1 (* cosTheta (PI)))))) |
(*.f32 (*.f32 (neg.f32 c) #s(literal -1 binary32)) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c))))) |
(* -1 (* c (- (* -1 (/ (- (sqrt (PI)) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) c)) (* -1 (* cosTheta (PI)))))) |
(*.f32 (*.f32 (neg.f32 c) #s(literal -1 binary32)) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c))))) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))))) |
(-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))))) |
(-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))))) |
(-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))) |
(*.f32 (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 cosTheta)) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))) |
(*.f32 cosTheta (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))) |
(*.f32 cosTheta (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))) |
(*.f32 cosTheta (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))) |
(*.f32 (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))))) |
(neg.f32 (*.f32 cosTheta (+.f32 (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (-.f32 #s(literal 0 binary32) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))))) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))))) |
(neg.f32 (*.f32 cosTheta (+.f32 (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (-.f32 #s(literal 0 binary32) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))))) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))))) |
(neg.f32 (*.f32 cosTheta (+.f32 (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (-.f32 #s(literal 0 binary32) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))))) |
(* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) |
(*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(+ (* c (* cosTheta (PI))) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(+ (* c (* cosTheta (PI))) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(+ (* c (* cosTheta (PI))) (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))) |
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (+ (* cosTheta (PI)) (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c))) |
(*.f32 c (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)))) |
(* c (+ (* cosTheta (PI)) (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c))) |
(*.f32 c (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)))) |
(* c (+ (* cosTheta (PI)) (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c))) |
(*.f32 c (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)))) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* -1 (* c (+ (* -1 (* cosTheta (PI))) (* -1 (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c))))) |
(*.f32 (*.f32 (neg.f32 c) #s(literal -1 binary32)) (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)))) |
(* -1 (* c (+ (* -1 (* cosTheta (PI))) (* -1 (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c))))) |
(*.f32 (*.f32 (neg.f32 c) #s(literal -1 binary32)) (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)))) |
(* -1 (* c (+ (* -1 (* cosTheta (PI))) (* -1 (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c))))) |
(*.f32 (*.f32 (neg.f32 c) #s(literal -1 binary32)) (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) |
(* (/ 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 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal -1 binary32))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta) |
(/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal -1/2 binary32))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) |
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta 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)))) |
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(+ (* -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))))) |
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(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -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) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -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)))))) |
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(+ (* -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))))))) |
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(* (/ 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 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))))) 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 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 (*.f32 cosTheta #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
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(+ (* -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 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(neg.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
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(+ (* -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 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(+ (* -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) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #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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(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
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(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) 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 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 binary32)) (*.f32 c c)) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta 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 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 3 binary32)) (*.f32 c (*.f32 c c)))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta c)))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 binary32)) (*.f32 c c)))) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(/.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta c))) (+.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 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) (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 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 binary32))) (neg.f32 c)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (neg.f32 (+.f32 (*.f32 cosTheta (-.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (neg.f32 (+.f32 (*.f32 cosTheta (-.f32 (-.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))))))) (-.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))))) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) |
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))))))) |
(+ (* -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)))))))) |
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(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 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))))))))) |
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0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))) #s(literal 3 binary32))))))) |
(+ 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)))))) |
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(+ 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)))))) |
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c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta c)))))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta c)))))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta c)))))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) (neg.f32 c)) #s(literal -1 binary32)))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) (neg.f32 c)) #s(literal -1 binary32)))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) (neg.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))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (-.f32 (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) c)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 (*.f32 cosTheta #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) cosTheta) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
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(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
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(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) |
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(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))) |
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(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
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(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
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(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
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(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))) |
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(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2)))))) |
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(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (neg (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (neg (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2)))))))) |
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(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 binary32))) (neg.f32 c)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) (neg.f32 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 (-.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 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))))) 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 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 (*.f32 cosTheta #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))) |
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) |
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(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))) |
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(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(neg.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(+.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(+.f32 (+.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) |
(* (pow (* 1 (PI)) 1/4) (sqrt cosTheta)) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 cosTheta)) |
(+ (* -1/2 (* (pow (* 1 (pow (PI) 3)) 1/4) (* (sqrt (pow cosTheta 3)) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))) (* (pow (* 1 (PI)) 1/4) (sqrt cosTheta))) |
(+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 cosTheta)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/4 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) |
(+ (* (pow cosTheta 2) (+ (* -1/2 (* (pow (* 1 (pow (PI) 3)) 1/4) (* (sqrt (/ 1 cosTheta)) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))) (* -1/2 (* (pow (/ 1 (PI)) 1/4) (* (sqrt cosTheta) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) (* (pow (* 1 (PI)) 1/4) (sqrt cosTheta))) |
(+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/4 binary32)) (sqrt.f32 cosTheta)) (-.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/4 binary32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))))))) |
(+ (* (pow cosTheta 2) (+ (* -1/2 (* (pow (* 1 (pow (PI) 3)) 1/4) (* (sqrt (/ 1 cosTheta)) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))) (* cosTheta (+ (* -1/2 (* (pow (/ 1 (PI)) 1/4) (* (sqrt 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)))))))) (+ (* 1/4 (* (/ (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2) cosTheta) (sqrt (pow (PI) 3)))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) (* -1/2 (* (pow (/ 1 (PI)) 1/4) (* (sqrt (/ 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)))))))))))))) (* (pow (* 1 (PI)) 1/4) (sqrt cosTheta))) |
(+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/4 binary32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))))) (*.f32 cosTheta (*.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/4 binary32))) (+.f32 (*.f32 (sqrt.f32 cosTheta) (+.f32 (-.f32 (-.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))) cosTheta)))) (*.f32 (-.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))))))))) |
(sqrt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))))))) |
(+ (sqrt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) (* -1/4 (* (sqrt (/ 1 (* (pow cosTheta 3) (* (PI) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2))))) |
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(sqrt (/ 1 c)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) c)) |
(+ (sqrt (/ 1 c)) (* -1/2 (* (sqrt (/ 1 (pow c 3))) (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) |
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(+ (sqrt (/ 1 c)) (+ (* -1/2 (* (sqrt (/ 1 (pow c 3))) (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* 1/2 (* (sqrt (/ 1 (pow c 5))) (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))))) |
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(+ (sqrt (/ 1 c)) (+ (* -1/2 (* (sqrt (/ 1 (pow c 3))) (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ (* -1/2 (* (sqrt (/ 1 (pow c 7))) (+ (* 1/4 (* c (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (* 1/2 (* (sqrt (/ 1 (pow c 5))) (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))))) |
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(* (sqrt (/ 1 c)) (pow (sqrt -1) 2)) |
(*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) c))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow c 3))) (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2))) |
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(+ (* -1/2 (* (sqrt (/ 1 (pow c 3))) (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow c 5))) (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))) |
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(+ (* -1 (/ (+ (* -1/2 (* (sqrt c) (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (* 1/2 (* (sqrt (/ 1 c)) (+ (* -1/4 (/ (* c (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) (pow (sqrt -1) 2))) (pow (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3))))) (pow c 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow c 3))) (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))) |
(-.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (*.f32 c c))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) c)))) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 c)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) c))) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 3 binary32)) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 binary32)))) #s(literal -1 binary32))))) (*.f32 c (*.f32 c c)))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (-.f32 (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 #s(literal 1 binary32) c)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 (*.f32 cosTheta #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) cosTheta) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))))) |
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))) |
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(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) |
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(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))))) |
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(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))))) |
(+.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
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(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))) |
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(+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) |
(+ 1 (+ c (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(+ 1 (+ c (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(+ 1 (+ c (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
c |
(* c (+ 1 (+ (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta c)))))) |
(* c (+ 1 (+ (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta c)))))) |
(* c (+ 1 (+ (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta c)))))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) (neg.f32 c)) #s(literal -1 binary32)))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) (neg.f32 c)) #s(literal -1 binary32)))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1))) |
(neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) (neg.f32 c)) #s(literal -1 binary32)))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI))))) |
(*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (* cosTheta (+ (PI) (* -4 (PI)))) (sqrt (/ 1 (PI))))))))) |
(*.f32 cosTheta (+.f32 (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (*.f32 cosTheta (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal -3 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) |
(* 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 cosTheta (+.f32 (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (*.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (*.f32 (PI.f32) #s(literal -3 binary32)) (*.f32 cosTheta (+.f32 (*.f32 (PI.f32) #s(literal -8 binary32)) (*.f32 #s(literal 3 binary32) (PI.f32)))))))))) |
(* (sqrt (* cosTheta (PI))) (sqrt -1/2)) |
(*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -1/2 binary32))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))) |
(*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -1/2 binary32)))) (*.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)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))) |
(*.f32 cosTheta (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))) (+.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 (PI.f32) 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 cosTheta (+.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))) (+.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 (PI.f32) cosTheta)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (+.f32 (/.f32 (*.f32 #s(literal 1/64 binary32) (*.f32 cosTheta (PI.f32))) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/16 binary32)))) (sqrt.f32 #s(literal -1/2 binary32)))))) |
(* (sqrt (* cosTheta (PI))) (* (sqrt -1) (sqrt 1/2))) |
(*.f32 (*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (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) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (*.f32 (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))) (+.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.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)) (*.f32 (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) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (*.f32 (PI.f32) #s(literal 1/16 binary32)) (/.f32 (*.f32 #s(literal -1/64 binary32) (*.f32 cosTheta (PI.f32))) #s(literal 1/2 binary32)))) (sqrt.f32 #s(literal 1/2 binary32)))) (*.f32 (*.f32 #s(literal -1/16 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))) (sqrt.f32 (*.f32 cosTheta (PI.f32))))) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))) (neg.f32 cosTheta)) |
(/ 1 cosTheta) |
(/.f32 #s(literal 1 binary32) cosTheta) |
(/ (+ 1 (* -1 cosTheta)) cosTheta) |
(/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) |
(/ (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1))) cosTheta) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal -1 binary32)))) cosTheta) |
(/ (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1))) cosTheta) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 (*.f32 cosTheta (+.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32)))) cosTheta) |
(* (sqrt (/ 1 cosTheta)) (sqrt -2)) |
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) |
(+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2))) |
(+.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -2 binary32))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))))) |
(+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2))))) |
(+.f32 (+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -2 binary32)))))) |
(* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2))))) |
(-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))))) |
(+.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))))))) |
(+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3))))))) |
(+.f32 (+.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 #s(literal -1/16 binary32) (*.f32 (/.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) (pow.f32 cosTheta #s(literal 7 binary32))))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))))))) |
(- 1 (sqrt (/ 1 (PI)))) |
(-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(- (+ 1 c) (sqrt (/ 1 (PI)))) |
(-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(- (+ 1 c) (sqrt (/ 1 (PI)))) |
(-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(- (+ 1 c) (sqrt (/ 1 (PI)))) |
(-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
c |
(* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))) |
(* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))) |
(* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI)))))) |
(*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))) |
c |
(* -1 (* c (- (* -1 (/ (- 1 (sqrt (/ 1 (PI)))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (- 1 (sqrt (/ 1 (PI)))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (* c (- (* -1 (/ (- 1 (sqrt (/ 1 (PI)))) c)) 1))) |
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal -1 binary32))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal -1/2 binary32))))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32)))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(*.f32 cosTheta (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 #s(literal 2 binary32)))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (+.f32 (*.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 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))))) |
(/ 1 (PI)) |
(/.f32 #s(literal 1 binary32) (PI.f32)) |
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
(+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 cosTheta #s(literal -2 binary32)) (PI.f32))) |
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
(+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 cosTheta #s(literal -2 binary32)) (PI.f32))) |
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
(+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 cosTheta #s(literal -2 binary32)) (PI.f32))) |
(* -2 (/ cosTheta (PI))) |
(/.f32 (*.f32 cosTheta #s(literal -2 binary32)) (PI.f32)) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32)))) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32)))) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32)))) |
(* -2 (/ cosTheta (PI))) |
(/.f32 (*.f32 cosTheta #s(literal -2 binary32)) (PI.f32)) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(neg.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta (PI.f32)))))) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(neg.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta (PI.f32)))))) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(neg.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta (PI.f32)))))) |
(* (/ 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 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal -1 binary32))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta) |
(/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal -1/2 binary32))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) |
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta 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)))) |
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #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))))) |
(+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -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) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -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 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))) |
(+ (* -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 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.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 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))))) |
Compiled 81 218 to 8 006 computations (90.1% saved)
31 alts after pruning (29 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 228 | 20 | 2 248 |
| Fresh | 10 | 9 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 241 | 31 | 2 272 |
| Status | Accuracy | Program |
|---|---|---|
| 92.4% | (pow.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) #s(literal -1/2 binary32)) #s(literal 2 binary32)) | |
| 59.6% | (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 2 binary32)) #s(literal -1/2 binary32)) | |
| 91.8% | (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 cosTheta)) #s(literal 2 binary32)) | |
| 59.6% | (pow.f32 (*.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)) (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1/2 binary32)) | |
| 92.5% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) #s(literal 1 binary32)) c)) | |
| 95.8% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) | |
| 92.3% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) | |
| 92.9% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| ▶ | 98.5% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) 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) cosTheta) (/.f32 (sqrt.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) cosTheta)))) (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 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 92.2% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) | |
| ▶ | 95.8% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
| 96.5% | (/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) | |
| ▶ | 59.3% | (/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))))))) |
| ✓ | 4.9% | (/.f32 #s(literal 1 binary32) c) |
| ▶ | 96.4% | (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta) (*.f32 (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))) cosTheta)) |
| 61.0% | (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) | |
| 96.4% | (*.f32 cosTheta (-.f32 (sqrt.f32 (*.f32 (PI.f32) (log.f32 (E.f32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) | |
| 96.4% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) | |
| 93.1% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) | |
| 96.3% | (*.f32 cosTheta (*.f32 cosTheta (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) | |
| 95.8% | (*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)))))) | |
| 10.6% | (*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) | |
| 93.1% | (*.f32 cosTheta (sqrt.f32 (PI.f32))) | |
| 96.3% | (*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) | |
| ▶ | 10.6% | (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
| 90.3% | (exp.f32 (*.f32 (log1p.f32 (+.f32 c (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal -1 binary32))) |
Compiled 1 211 to 836 computations (31% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))))))) |
| ✓ | cost-diff | 192 | (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)))))) |
| ✓ | cost-diff | 0 | (pow.f32 (PI.f32) #s(literal 1/2 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta) |
| ✓ | cost-diff | 64 | (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32))))) |
| ✓ | cost-diff | 3232 | (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta) (*.f32 (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))) cosTheta)) |
| ✓ | cost-diff | 0 | (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) |
| ✓ | cost-diff | 0 | (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
| ✓ | cost-diff | 32 | (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (PI.f32) |
| ✓ | cost-diff | 0 | (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) |
| ✓ | cost-diff | 0 | (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) |
| ✓ | cost-diff | 32 | (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) c) |
| ✓ | cost-diff | 0 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) 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 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| ✓ | cost-diff | 64 | (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| 11 804× | accelerator-lowering-fma.f32 |
| 11 804× | accelerator-lowering-fma.f64 |
| 3 150× | *-lowering-*.f32 |
| 3 150× | *-lowering-*.f64 |
| 1 864× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 483 |
| 1 | 138 | 471 |
| 2 | 321 | 467 |
| 3 | 945 | 460 |
| 4 | 2838 | 456 |
| 5 | 4778 | 456 |
| 6 | 7524 | 456 |
| 0 | 8260 | 431 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ (+ 1 c) (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
1 |
(+ (+ 1 c) (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) |
(+ 1 c) |
c |
(* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta))) |
(/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) |
(* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta) |
(pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) |
(/ (+ 1 (* cosTheta -2)) (PI)) |
(+ 1 (* cosTheta -2)) |
(* cosTheta -2) |
cosTheta |
-2 |
(PI) |
-1/2 |
(exp (* (neg cosTheta) cosTheta)) |
(* (neg cosTheta) cosTheta) |
(neg cosTheta) |
(* c (- 0 (* (PI) (* cosTheta cosTheta)))) |
c |
(- 0 (* (PI) (* cosTheta cosTheta))) |
0 |
(* (PI) (* cosTheta cosTheta)) |
(PI) |
(* cosTheta cosTheta) |
cosTheta |
(/ 1 (+ c (/ (+ cosTheta (* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI))))) cosTheta))) |
1 |
(+ c (/ (+ cosTheta (* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI))))) cosTheta)) |
c |
(/ (+ cosTheta (* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI))))) cosTheta) |
(+ cosTheta (* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI))))) |
cosTheta |
(* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI)))) |
(+ (neg cosTheta) 1) |
(neg cosTheta) |
(sqrt (/ 1 (PI))) |
(/ 1 (PI)) |
(PI) |
(+ (* (pow (PI) 1/2) cosTheta) (* (* (* (PI) cosTheta) (- 0 (+ 1 (- c (pow (PI) -1/2))))) cosTheta)) |
(* (pow (PI) 1/2) cosTheta) |
(pow (PI) 1/2) |
(PI) |
1/2 |
cosTheta |
(* (* (* (PI) cosTheta) (- 0 (+ 1 (- c (pow (PI) -1/2))))) cosTheta) |
(* (* (PI) cosTheta) (- 0 (+ 1 (- c (pow (PI) -1/2))))) |
(* (PI) cosTheta) |
(- 0 (+ 1 (- c (pow (PI) -1/2)))) |
0 |
(+ 1 (- c (pow (PI) -1/2))) |
1 |
(- c (pow (PI) -1/2)) |
c |
(pow (PI) -1/2) |
-1/2 |
(/ 1 (* c (+ 1 (+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c))))))) |
1 |
(* c (+ 1 (+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c)))))) |
c |
(+ 1 (+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c))))) |
(+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c)))) |
(/ 1 c) |
(/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c))) |
(sqrt (/ (- 1 (* cosTheta 2)) (PI))) |
(/ (- 1 (* cosTheta 2)) (PI)) |
(- 1 (* cosTheta 2)) |
(* cosTheta 2) |
cosTheta |
2 |
(PI) |
(* (exp (* cosTheta cosTheta)) (* cosTheta c)) |
(exp (* cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(* cosTheta c) |
| Outputs |
|---|
(/ 1 (+ (+ 1 c) (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))))) |
1 |
#s(literal 1 binary32) |
(+ (+ 1 c) (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))) |
(+ 1 c) |
(+.f32 #s(literal 1 binary32) c) |
c |
(* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta))) |
(/.f32 (/.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) cosTheta) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) |
(/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) |
(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) |
(* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta) |
(*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) |
(pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) |
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) |
(/ (+ 1 (* cosTheta -2)) (PI)) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) |
(+ 1 (* cosTheta -2)) |
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) |
(* cosTheta -2) |
(*.f32 cosTheta #s(literal -2 binary32)) |
cosTheta |
-2 |
#s(literal -2 binary32) |
(PI) |
(PI.f32) |
-1/2 |
#s(literal -1/2 binary32) |
(exp (* (neg cosTheta) cosTheta)) |
(exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) |
(* (neg cosTheta) cosTheta) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
(neg cosTheta) |
(neg.f32 cosTheta) |
(* c (- 0 (* (PI) (* cosTheta cosTheta)))) |
(*.f32 (PI.f32) (*.f32 c (*.f32 cosTheta (neg.f32 cosTheta)))) |
c |
(- 0 (* (PI) (* cosTheta cosTheta))) |
(*.f32 cosTheta (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
0 |
#s(literal 0 binary32) |
(* (PI) (* cosTheta cosTheta)) |
(*.f32 cosTheta (*.f32 cosTheta (PI.f32))) |
(PI) |
(PI.f32) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
cosTheta |
(/ 1 (+ c (/ (+ cosTheta (* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
1 |
#s(literal 1 binary32) |
(+ c (/ (+ cosTheta (* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI))))) cosTheta)) |
(+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)) |
c |
(/ (+ cosTheta (* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI))))) cosTheta) |
(/.f32 (+.f32 cosTheta (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) |
(+ cosTheta (* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI))))) |
(+.f32 cosTheta (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
cosTheta |
(* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI)))) |
(*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (neg cosTheta) 1) |
(-.f32 #s(literal 1 binary32) cosTheta) |
(neg cosTheta) |
(neg.f32 cosTheta) |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(/ 1 (PI)) |
(/.f32 #s(literal 1 binary32) (PI.f32)) |
(PI) |
(PI.f32) |
(+ (* (pow (PI) 1/2) cosTheta) (* (* (* (PI) cosTheta) (- 0 (+ 1 (- c (pow (PI) -1/2))))) cosTheta)) |
(*.f32 cosTheta (+.f32 (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal -1 binary32) c))) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(* (pow (PI) 1/2) cosTheta) |
(*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(pow (PI) 1/2) |
(pow.f32 (PI.f32) #s(literal 1/2 binary32)) |
(PI) |
(PI.f32) |
1/2 |
#s(literal 1/2 binary32) |
cosTheta |
(* (* (* (PI) cosTheta) (- 0 (+ 1 (- c (pow (PI) -1/2))))) cosTheta) |
(*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c)))) |
(* (* (PI) cosTheta) (- 0 (+ 1 (- c (pow (PI) -1/2))))) |
(*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c)))) |
(* (PI) cosTheta) |
(*.f32 cosTheta (PI.f32)) |
(- 0 (+ 1 (- c (pow (PI) -1/2)))) |
(+.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c)) |
0 |
#s(literal 0 binary32) |
(+ 1 (- c (pow (PI) -1/2))) |
(+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) |
1 |
#s(literal 1 binary32) |
(- c (pow (PI) -1/2)) |
(-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32))) |
c |
(pow (PI) -1/2) |
(pow.f32 (PI.f32) #s(literal -1/2 binary32)) |
-1/2 |
#s(literal -1/2 binary32) |
(/ 1 (* c (+ 1 (+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
1 |
#s(literal 1 binary32) |
(* c (+ 1 (+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c)))))) |
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) |
c |
(+ 1 (+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c)))) |
(*.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 c (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) |
(sqrt (/ (- 1 (* cosTheta 2)) (PI))) |
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) |
(/ (- 1 (* cosTheta 2)) (PI)) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) |
(- 1 (* cosTheta 2)) |
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) |
(* cosTheta 2) |
(*.f32 cosTheta #s(literal 2 binary32)) |
cosTheta |
2 |
#s(literal 2 binary32) |
(PI) |
(PI.f32) |
(* (exp (* cosTheta cosTheta)) (* cosTheta c)) |
(*.f32 c (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
(exp (* cosTheta cosTheta)) |
(exp.f32 (*.f32 cosTheta cosTheta)) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
(* cosTheta c) |
(*.f32 c cosTheta) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))))))) |
| ✓ | accuracy | 99.0% | (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))) |
| ✓ | accuracy | 97.6% | (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) |
| ✓ | accuracy | 60.0% | (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)))))) |
| ✓ | accuracy | 98.9% | (*.f32 (PI.f32) cosTheta) |
| ✓ | accuracy | 98.7% | (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta) |
| ✓ | accuracy | 97.2% | (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) |
| ✓ | accuracy | 96.9% | (pow.f32 (PI.f32) #s(literal -1/2 binary32)) |
| ✓ | accuracy | 99.5% | (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
| ✓ | accuracy | 98.3% | (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) |
| ✓ | accuracy | 96.9% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
| ✓ | accuracy | 100.0% | (*.f32 cosTheta cosTheta) |
| ✓ | accuracy | 100.0% | (PI.f32) |
| ✓ | accuracy | 99.8% | (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
| ✓ | accuracy | 99.2% | (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) |
| ✓ | accuracy | 99.8% | (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) |
| ✓ | accuracy | 99.1% | (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| ✓ | accuracy | 98.9% | (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta) |
| 129.0ms | 256× | 0 | valid |
Compiled 500 to 59 computations (88.2% saved)
ival-pow: 32.0ms (30% of total)ival-mult: 26.0ms (24.4% of total)ival-div: 18.0ms (16.9% of total)ival-add: 13.0ms (12.2% of total)ival-exp: 5.0ms (4.7% of total)ival-sub: 5.0ms (4.7% of total)ival-sqrt: 5.0ms (4.7% of total)ival-pi: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta)))> |
#<alt (/ 1 (+ (+ 1 c) (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta)))))> |
#<alt (+ (+ 1 c) (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta))))> |
#<alt (+ 1 c)> |
#<alt (* c (- 0 (* (PI) (* cosTheta cosTheta))))> |
#<alt (- 0 (* (PI) (* cosTheta cosTheta)))> |
#<alt (* (PI) (* cosTheta cosTheta))> |
#<alt (PI)> |
#<alt (+ (neg cosTheta) 1)> |
#<alt (/ 1 (+ c (/ (+ cosTheta (* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI))))) cosTheta)))> |
#<alt (+ c (/ (+ cosTheta (* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI))))) cosTheta))> |
#<alt (/ (+ cosTheta (* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI))))) cosTheta)> |
#<alt (+ (* (pow (PI) 1/2) cosTheta) (* (* (* (PI) cosTheta) (- 0 (+ 1 (- c (pow (PI) -1/2))))) cosTheta))> |
#<alt (- 0 (+ 1 (- c (pow (PI) -1/2))))> |
#<alt (* (pow (PI) 1/2) cosTheta)> |
#<alt (pow (PI) 1/2)> |
#<alt (* c (+ 1 (+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c))))))> |
#<alt (/ 1 (* c (+ 1 (+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c)))))))> |
#<alt (+ 1 (+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c)))))> |
#<alt (+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c))))> |
#<alt (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)> |
#<alt (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta))> |
#<alt (/ (+ 1 (* cosTheta -2)) (PI))> |
#<alt (* cosTheta cosTheta)> |
#<alt (sqrt (/ 1 (PI)))> |
#<alt (* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI))))> |
#<alt (pow (PI) -1/2)> |
#<alt (+ 1 (- c (pow (PI) -1/2)))> |
#<alt (* (PI) cosTheta)> |
#<alt (sqrt (/ (- 1 (* cosTheta 2)) (PI)))> |
#<alt (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c)))> |
| Outputs |
|---|
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta)> |
#<alt (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))> |
#<alt (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))> |
#<alt (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))> |
#<alt (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))))> |
#<alt (+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))))> |
#<alt (+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))))> |
#<alt (/ 1 c)> |
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c))) c)> |
#<alt (/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))) c)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) c)> |
#<alt (/ 1 c)> |
#<alt (* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)) 1) c))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))> |
#<alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))> |
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))))> |
#<alt (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))> |
#<alt (- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))))> |
#<alt (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))> |
#<alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))> |
#<alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))> |
#<alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))> |
#<alt c> |
#<alt (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))))> |
#<alt c> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1)))> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1)))> |
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1)))> |
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)> |
#<alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))> |
#<alt (+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))> |
#<alt (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))> |
#<alt (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))> |
#<alt (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))> |
#<alt (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))))> |
#<alt (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))> |
#<alt (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))))> |
#<alt 1> |
#<alt (+ 1 c)> |
#<alt (+ 1 c)> |
#<alt (+ 1 c)> |
#<alt c> |
#<alt (* c (+ 1 (/ 1 c)))> |
#<alt (* c (+ 1 (/ 1 c)))> |
#<alt (* c (+ 1 (/ 1 c)))> |
#<alt c> |
#<alt (* c (+ 1 (/ 1 c)))> |
#<alt (* c (+ 1 (/ 1 c)))> |
#<alt (* c (+ 1 (/ 1 c)))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
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#<alt (+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))> |
#<alt (* -2 (/ cosTheta (PI)))> |
#<alt (* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))> |
#<alt (* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))> |
#<alt (* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))> |
#<alt (* -2 (/ cosTheta (PI)))> |
#<alt (* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))> |
#<alt (* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))> |
#<alt (* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (sqrt (/ 1 (PI)))> |
#<alt (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))> |
#<alt (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))> |
#<alt (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))> |
#<alt (* -1 (* cosTheta (sqrt (/ 1 (PI)))))> |
#<alt (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))> |
#<alt (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))> |
#<alt (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))> |
#<alt (* -1 (* cosTheta (sqrt (/ 1 (PI)))))> |
#<alt (* -1 (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))))> |
#<alt (* -1 (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))))> |
#<alt (* -1 (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))))> |
#<alt (- 1 (sqrt (/ 1 (PI))))> |
#<alt (- (+ 1 c) (sqrt (/ 1 (PI))))> |
#<alt (- (+ 1 c) (sqrt (/ 1 (PI))))> |
#<alt (- (+ 1 c) (sqrt (/ 1 (PI))))> |
#<alt c> |
#<alt (* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI))))))> |
#<alt (* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI))))))> |
#<alt (* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI))))))> |
#<alt c> |
#<alt (* -1 (* c (- (* -1 (/ (- 1 (sqrt (/ 1 (PI)))) c)) 1)))> |
#<alt (* -1 (* c (- (* -1 (/ (- 1 (sqrt (/ 1 (PI)))) c)) 1)))> |
#<alt (* -1 (* c (- (* -1 (/ (- 1 (sqrt (/ 1 (PI)))) c)) 1)))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (sqrt (/ 1 (PI)))> |
#<alt (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))> |
#<alt (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))> |
#<alt (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))))> |
#<alt (* (sqrt (/ cosTheta (PI))) (sqrt -2))> |
#<alt (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))> |
#<alt (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))> |
#<alt (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))))> |
#<alt (* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2))))> |
#<alt (* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))> |
#<alt (* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))> |
#<alt (* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))))> |
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (* -1 (* (/ cosTheta c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta)> |
#<alt (/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta)> |
#<alt (/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta)> |
#<alt (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))> |
#<alt (+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))))> |
#<alt (+ (* -1/8 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))))> |
#<alt (+ (* -1/8 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/16 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5)))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))))))> |
#<alt (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))))> |
#<alt (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))))> |
#<alt (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* 1/8 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI))))))))> |
#<alt (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* -1/16 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 5)))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (* 1/8 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))))))> |
#<alt (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))> |
#<alt (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | cosTheta | @ | inf | (/ 1 (* c (+ 1 (+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c))))))) |
| 5.0ms | cosTheta | @ | -inf | (+ (* (pow (PI) 1/2) cosTheta) (* (* (* (PI) cosTheta) (- 0 (+ 1 (- c (pow (PI) -1/2))))) cosTheta)) |
| 5.0ms | cosTheta | @ | -inf | (/ 1 (* c (+ 1 (+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c))))))) |
| 1.0ms | cosTheta | @ | -inf | (* c (+ 1 (+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c)))))) |
| 1.0ms | cosTheta | @ | 0 | (/ 1 (* c (+ 1 (+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c))))))) |
| 1× | batch-egg-rewrite |
| 4 258× | *-lowering-*.f32 |
| 4 258× | *-lowering-*.f64 |
| 3 530× | pow-lowering-pow.f64 |
| 3 530× | pow-lowering-pow.f32 |
| 3 386× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 350 |
| 1 | 390 | 320 |
| 2 | 3909 | 315 |
| 0 | 9038 | 300 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta))) |
(/ 1 (+ (+ 1 c) (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(+ (+ 1 c) (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) |
(+ 1 c) |
(* c (- 0 (* (PI) (* cosTheta cosTheta)))) |
(- 0 (* (PI) (* cosTheta cosTheta))) |
(* (PI) (* cosTheta cosTheta)) |
(PI) |
(+ (neg cosTheta) 1) |
(/ 1 (+ c (/ (+ cosTheta (* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI))))) cosTheta))) |
(+ c (/ (+ cosTheta (* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI))))) cosTheta)) |
(/ (+ cosTheta (* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI))))) cosTheta) |
(+ (* (pow (PI) 1/2) cosTheta) (* (* (* (PI) cosTheta) (- 0 (+ 1 (- c (pow (PI) -1/2))))) cosTheta)) |
(- 0 (+ 1 (- c (pow (PI) -1/2)))) |
(* (pow (PI) 1/2) cosTheta) |
(pow (PI) 1/2) |
(* c (+ 1 (+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c)))))) |
(/ 1 (* c (+ 1 (+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c))))))) |
(+ 1 (+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c))))) |
(+ (/ 1 c) (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c)))) |
(* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta) |
(/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) |
(/ (+ 1 (* cosTheta -2)) (PI)) |
(* cosTheta cosTheta) |
(sqrt (/ 1 (PI))) |
(* (+ (neg cosTheta) 1) (sqrt (/ 1 (PI)))) |
(pow (PI) -1/2) |
(+ 1 (- c (pow (PI) -1/2))) |
(* (PI) cosTheta) |
(sqrt (/ (- 1 (* cosTheta 2)) (PI))) |
(/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* (exp (* cosTheta cosTheta)) (* cosTheta c))) |
| Outputs |
|---|
(exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) |
(exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) |
(pow.f32 (/.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) |
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))) |
(/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) |
(/.f32 (neg.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) (neg.f32 cosTheta))) |
(/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) #s(literal -1 binary32)) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) (neg.f32 cosTheta))) |
(/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) cosTheta) |
(/.f32 (*.f32 #s(literal -1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) (neg.f32 cosTheta))) |
(/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) |
(/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) cosTheta) |
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta)) |
(*.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) cosTheta) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) |
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta)) |
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))) |
(*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) cosTheta)) |
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) c)))) |
(exp.f32 (*.f32 (log1p.f32 (+.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) c)) #s(literal -1 binary32))) |
(pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) c)) #s(literal -1 binary32)) |
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) c)))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) c)) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) c))) #s(literal -1/2 binary32)) |
(pow.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) c))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) c))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) c))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) c)))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) c)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) c))) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) c))))) |
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(fma.f32 (pow.f32 (/.f32 cosTheta (+.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) #s(literal 3/2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (*.f32 (*.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))) c) |
(fma.f32 (pow.f32 (/.f32 cosTheta (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) c) |
(-.f32 (/.f32 (*.f32 c c) (-.f32 c (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta))) (/.f32 (pow.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) #s(literal 2 binary32)) (-.f32 c (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 c c) (*.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) (-.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c))) (+.f32 (*.f32 c (*.f32 c c)) (pow.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 c (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta)) (-.f32 (*.f32 c c) (pow.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) #s(literal 2 binary32))))) |
(/.f32 (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta)) #s(literal 1 binary32)) |
(/.f32 (neg.f32 (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta))) #s(literal -1 binary32)) |
(/.f32 (+.f32 (*.f32 c (*.f32 c c)) (pow.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) #s(literal 3 binary32))) (+.f32 (*.f32 c c) (*.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) (-.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c)))) |
(/.f32 (+.f32 (*.f32 c (*.f32 c c)) (pow.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) #s(literal 2 binary32)) (-.f32 (*.f32 c c) (/.f32 c (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))))) |
(/.f32 (+.f32 (*.f32 c (*.f32 c c)) (pow.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) #s(literal 3 binary32))) (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 c c) (*.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) (-.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c))))) |
(/.f32 (-.f32 (*.f32 c c) (pow.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) #s(literal 2 binary32))) (-.f32 c (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta))) |
(/.f32 (-.f32 (*.f32 c c) (pow.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) #s(literal 2 binary32))) (*.f32 #s(literal 1 binary32) (-.f32 c (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta)))) |
(/.f32 (neg.f32 (+.f32 (*.f32 c (*.f32 c c)) (pow.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) #s(literal 3 binary32)))) (neg.f32 (+.f32 (*.f32 c c) (*.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) (-.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 c c) (pow.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) #s(literal 2 binary32)))) (neg.f32 (-.f32 c (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta)))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) #s(literal 2 binary32)) (*.f32 c c)) (-.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c)) |
(*.f32 (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta)) #s(literal 1 binary32)) |
(*.f32 (+.f32 (*.f32 c (*.f32 c c)) (pow.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 c c) (*.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) (-.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c))))) |
(*.f32 (-.f32 (*.f32 c c) (pow.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 c (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta)))) |
(neg.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (neg.f32 cosTheta))) |
(neg.f32 (/.f32 (neg.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta)) |
(exp.f32 (*.f32 (log.f32 (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 1 binary32))) |
(/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) |
(/.f32 (neg.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (neg.f32 cosTheta)) |
(/.f32 (+.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) #s(literal 3/2 binary32))) (*.f32 cosTheta (+.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (*.f32 (*.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))) |
(/.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 cosTheta (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) |
(/.f32 (*.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) cosTheta) |
(/.f32 (*.f32 (+.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) #s(literal 3/2 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (*.f32 (*.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))) cosTheta)) |
(/.f32 (*.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) #s(literal 1 binary32)) (*.f32 (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta)) |
(/.f32 (neg.f32 (neg.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) (neg.f32 (neg.f32 cosTheta))) |
(/.f32 (*.f32 (+.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) #s(literal 3/2 binary32))) (/.f32 #s(literal 1 binary32) cosTheta)) (+.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (*.f32 (*.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))) |
(/.f32 (*.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (/.f32 #s(literal 1 binary32) cosTheta)) (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(/.f32 (/.f32 (neg.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal -1 binary32)) cosTheta) |
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta)) |
(*.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) cosTheta)) |
(*.f32 (neg.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 cosTheta))) |
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (/.f32 cosTheta (+.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) #s(literal 3/2 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (*.f32 (*.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))) |
(*.f32 (pow.f32 (/.f32 cosTheta (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) |
(+.f32 (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 cosTheta (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 (-.f32 #s(literal -1 binary32) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))) |
(+.f32 (*.f32 cosTheta (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 (-.f32 #s(literal -1 binary32) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
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(fma.f32 cosTheta (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 (-.f32 #s(literal -1 binary32) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
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(fma.f32 (PI.f32) (*.f32 (*.f32 cosTheta (+.f32 (-.f32 #s(literal -1 binary32) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) cosTheta) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(fma.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (-.f32 #s(literal -1 binary32) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
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(fma.f32 (*.f32 cosTheta (PI.f32)) (*.f32 cosTheta (+.f32 (-.f32 #s(literal -1 binary32) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(fma.f32 (+.f32 (-.f32 #s(literal -1 binary32) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(fma.f32 (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 (-.f32 #s(literal -1 binary32) c) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) cosTheta (*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
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(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(/.f32 (neg.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) (neg.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)))) |
(/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) (*.f32 cosTheta c)) |
(/.f32 (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))) |
(/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)))) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)))) (neg.f32 (neg.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))))) |
(/.f32 (neg.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 cosTheta c))) |
(/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta c))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 cosTheta c)) (exp.f32 (*.f32 cosTheta cosTheta))) |
(/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) c) |
(/.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) c) cosTheta) |
(*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)))) |
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta c))) |
(*.f32 (neg.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))))) |
(*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta c)) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) |
(*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (pow.f32 (/.f32 (*.f32 cosTheta c) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) #s(literal -1 binary32))) |
(*.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (pow.f32 (/.f32 c (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) |
| 1× | egg-herbie |
| 7 140× | accelerator-lowering-fma.f32 |
| 7 140× | accelerator-lowering-fma.f64 |
| 6 796× | *-lowering-*.f32 |
| 6 796× | *-lowering-*.f64 |
| 5 648× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1141 | 12928 |
| 1 | 3662 | 12149 |
| 0 | 8563 | 11691 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c))) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/ 1 c) |
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c)) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))))) |
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) |
(- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))))))) |
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
c |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) |
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))) |
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))))) |
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1 |
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c |
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c |
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(* (pow cosTheta 2) (PI)) |
(* (pow cosTheta 2) (PI)) |
(* (pow cosTheta 2) (PI)) |
(* (pow cosTheta 2) (PI)) |
(* (pow cosTheta 2) (PI)) |
(* (pow cosTheta 2) (PI)) |
(* (pow cosTheta 2) (PI)) |
(* (pow cosTheta 2) (PI)) |
1 |
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(* cosTheta (- (/ 1 cosTheta) 1)) |
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(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 2) (pow c 2))) (+ (* (/ (- 1 cosTheta) (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 c)))) c) |
(/ 1 c) |
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(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 2) c) (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI)))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 3) c) (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 2)) c)) (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI)))))) c)) 1) c)) |
(* cosTheta (sqrt (PI))) |
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(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (* (pow (PI) 2) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 3)))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
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(+ (* -1 (/ (- (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 4))) (sqrt (/ 1 (pow (PI) 3))))) (/ 1 (* (PI) (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 3)))) cosTheta)) (* -1 (* (sqrt (/ 1 (PI))) (/ 1 (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 2))))) cosTheta)) (/ 1 (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))))) |
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(+ 1 (+ c (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI)))))) |
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c |
(* c (+ 1 (+ (* (/ (- 1 cosTheta) (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (- 1 cosTheta) (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 c)))) |
(* c (+ 1 (+ (* (/ (- 1 cosTheta) (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 c)))) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) c)) 1))) |
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
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(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
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(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
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(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c)))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c)))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c)))))) |
(* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c)))) |
(* (pow cosTheta 2) (+ (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* (pow cosTheta 2) (+ (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* (pow cosTheta 2) (+ (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c)))) |
(* (pow cosTheta 2) (+ (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* (pow cosTheta 2) (+ (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* (pow cosTheta 2) (+ (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c))) (* (/ 1 cosTheta) (sqrt (PI))))) |
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(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (+ (* (/ cosTheta c) (sqrt (PI))) (/ (* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) 1))) c)))) |
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (+ (* (/ cosTheta c) (sqrt (PI))) (/ (* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) 1))) c)))) |
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (+ (* (/ cosTheta c) (sqrt (PI))) (/ (* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) 1))) c)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (+ (* -1 (/ (+ (* cosTheta (sqrt (PI))) (* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) 1)))) c)) (* (pow cosTheta 2) (PI))))) |
(* -1 (* c (+ (* -1 (/ (+ (* cosTheta (sqrt (PI))) (* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) 1)))) c)) (* (pow cosTheta 2) (PI))))) |
(* -1 (* c (+ (* -1 (/ (+ (* cosTheta (sqrt (PI))) (* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) 1)))) c)) (* (pow cosTheta 2) (PI))))) |
(- (sqrt (/ 1 (PI))) 1) |
(- (+ (sqrt (/ 1 (PI))) (* -1 c)) 1) |
(- (+ (sqrt (/ 1 (PI))) (* -1 c)) 1) |
(- (+ (sqrt (/ 1 (PI))) (* -1 c)) 1) |
(* -1 c) |
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(* -1 c) |
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(* -1 (* c (+ 1 (* -1 (/ (- (sqrt (/ 1 (PI))) 1) c))))) |
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(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
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(* cosTheta (sqrt (PI))) |
(* cosTheta (sqrt (PI))) |
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c |
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(* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
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c |
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* c (* cosTheta (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* c (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (* c (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* c (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))) (* cosTheta (+ (* c (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))) (* c (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))))))) cosTheta) |
(* c (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c)))) |
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(* c (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c)))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2))))) (* c (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 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))))) (* c (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 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))))) (* c (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c))))))) |
(/ 1 (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
(+ (* -1 (/ c (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(+ (* c (- (/ c (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c) |
(/ 1 c) |
(* -1 (/ (- (/ 1 c) (+ 1 (* -1 (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- 1 (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* -1 (/ (* (- 1 (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (- (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1)) c))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- 1 (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* -1 (/ (+ (* (- 1 (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (- (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1)) (/ (* (- 1 (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (pow (- (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1) 2)) c)) c))) c)) 1) c)) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* c (* cosTheta (* (PI) (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (* (pow c 2) (pow (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 2)) (sqrt (pow (PI) 3)))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (* c (* (PI) (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (* c (* (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) (+ (* -1 (* (* (pow c 2) (pow (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 2)) (sqrt (pow (PI) 3)))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (sqrt (PI)))) (+ (* -1 (* (* (pow c 2) (* (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (sqrt (pow (PI) 3)))) (* c (* (PI) (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (+ (* -1 (* (* (pow c 2) (pow (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 2)) (sqrt (pow (PI) 3)))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (* c (* (PI) (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))))))))) |
(/ 1 (* c (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))))) |
(+ (* -1/2 (* (/ 1 (* (pow c 2) (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))) 2))))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (/ 1 (* c (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c)))))) |
(- (+ (/ 1 (* c (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))))) (* 1/4 (/ 1 (* (pow c 3) (* (pow cosTheta 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (pow (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))) 3))))))))) (+ (* -1/8 (* (/ 1 (* (pow c 2) (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (pow (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))) 2))))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (* 1/2 (* (/ 1 (* (pow c 2) (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))) 2))))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))))) |
(- (+ (* -1 (/ (+ (* 1/16 (* (/ 1 (* (pow c 2) (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 5) (pow (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))) 2))))) (sqrt (/ (pow cosTheta 5) (PI))))) (+ (* 1/16 (/ (pow cosTheta 2) (* (pow c 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 4) (pow (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))) 3))))))) (* 1/2 (* (/ (- (* 1/4 (/ cosTheta (* (pow c 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (pow (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))) 3))))))) (* -1/8 (* (/ 1 (* (pow c 2) (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (pow (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))) 2))))) (sqrt (/ (pow cosTheta 3) (PI)))))) (* c (* (exp (pow cosTheta 2)) (* (sqrt -2) (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))))))) (sqrt (/ cosTheta (PI))))))) (pow cosTheta 6))) (+ (/ 1 (* c (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))))) (* 1/4 (/ 1 (* (pow c 3) (* (pow cosTheta 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (pow (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))) 3)))))))))) (+ (* -1/8 (* (/ 1 (* (pow c 2) (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (pow (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))) 2))))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (* 1/2 (* (/ 1 (* (pow c 2) (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))) 2))))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))))) |
(/ 1 (* c (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c))))) |
(+ (* 1/2 (* (/ (sqrt -1) (* (pow c 2) (* (exp (pow cosTheta 2)) (* (sqrt 2) (pow (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c))) 2))))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (/ 1 (* c (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c)))))) |
(- (/ 1 (* c (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c))))) (+ (* -1/2 (* (/ (sqrt -1) (* (pow c 2) (* (exp (pow cosTheta 2)) (* (sqrt 2) (pow (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c))) 2))))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* 1/8 (* (/ (sqrt -1) (* (pow c 2) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c))) 2))))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (* 1/4 (/ 1 (* (pow c 3) (* (pow cosTheta 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c))) 3))))))))))) |
(- (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1) (- (* -1/4 (/ cosTheta (* (pow c 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c))) 3))))))) (* 1/8 (* (/ (sqrt -1) (* (pow c 2) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c))) 2))))) (sqrt (/ (pow cosTheta 3) (PI))))))) (* c (* (exp (pow cosTheta 2)) (* (sqrt 2) (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c))))))) (sqrt (/ cosTheta (PI))))) (+ (* -1/16 (* (/ (sqrt -1) (* (pow c 2) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c))) 2))))) (sqrt (/ (pow cosTheta 5) (PI))))) (* 1/16 (/ (pow cosTheta 2) (* (pow c 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 4) (pow (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c))) 3))))))))) (pow cosTheta 6))) (/ 1 (* c (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c)))))) (+ (* -1/2 (* (/ (sqrt -1) (* (pow c 2) (* (exp (pow cosTheta 2)) (* (sqrt 2) (pow (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c))) 2))))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* 1/8 (* (/ (sqrt -1) (* (pow c 2) (* (exp (pow cosTheta 2)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c))) 2))))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (* 1/4 (/ 1 (* (pow c 3) (* (pow cosTheta 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c))) 3))))))))))) |
(/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) |
(/ (+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c) |
(/ (+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c) |
(/ (+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c) |
1 |
(+ 1 (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) |
(+ 1 (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) |
(+ 1 (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) |
1 |
(+ 1 (* -1 (/ (- (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1) c))) |
(+ 1 (* -1 (/ (- (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1) c))) |
(+ 1 (* -1 (/ (- (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1) c))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(/ (+ (* cosTheta (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (* cosTheta (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))) (/ 1 c))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (* cosTheta (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))))) (/ 1 c))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))) |
(+ 1 (+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c)))) |
(+ 1 (+ (* -1/8 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))))) |
(+ 1 (+ (* -1/8 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/16 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5)))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c)))))) |
(+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c))) |
(+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (/ 1 c)))) |
(+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* 1/8 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (/ 1 c))))) |
(+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* -1/16 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 5)))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* 1/8 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (/ 1 c)))))) |
(/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) |
(/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) |
(/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) |
(/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) |
(/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) |
(/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) |
(/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) |
(/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) |
(* -1 (/ (- (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1) c)) |
(* -1 (/ (- (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1) c)) |
(* -1 (/ (- (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1) c)) |
(* -1 (/ (- (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1) c)) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))) (/ 1 c)))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))))) (/ 1 c)))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c)) |
(+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))) |
(+ (* -1/8 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c)))) |
(+ (* -1/8 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/16 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5)))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c)) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (/ 1 c))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* 1/8 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (/ 1 c)))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* -1/16 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 5)))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* 1/8 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (/ 1 c))))) |
(* 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 (* 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 (* 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 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3))))))) |
(/ 1 (PI)) |
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
(* -2 (/ cosTheta (PI))) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(* -2 (/ cosTheta (PI))) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(* -1 (* cosTheta (sqrt (/ 1 (PI))))) |
(* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(* -1 (* cosTheta (sqrt (/ 1 (PI))))) |
(* -1 (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))) |
(* -1 (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))) |
(* -1 (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))) |
(- 1 (sqrt (/ 1 (PI)))) |
(- (+ 1 c) (sqrt (/ 1 (PI)))) |
(- (+ 1 c) (sqrt (/ 1 (PI)))) |
(- (+ 1 c) (sqrt (/ 1 (PI)))) |
c |
(* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI)))))) |
(* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI)))))) |
(* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI)))))) |
c |
(* -1 (* c (- (* -1 (/ (- 1 (sqrt (/ 1 (PI)))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (- 1 (sqrt (/ 1 (PI)))) c)) 1))) |
(* -1 (* c (- (* -1 (/ (- 1 (sqrt (/ 1 (PI)))) c)) 1))) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(/ (+ (* -1 (* (/ cosTheta c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) |
(+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) |
(+ (* -1/8 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))))) |
(+ (* -1/8 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/16 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5)))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))))) |
(* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI))))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* 1/8 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* -1/16 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 5)))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (* 1/8 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI))))))))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
| Outputs |
|---|
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))))) 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 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(+ (* -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 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(+ (* -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 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(*.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(+.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(+.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32)))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))))) |
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(+ (* -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) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #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))))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) (*.f32 c (+.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 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))))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) (*.f32 c (+.f32 (*.f32 c (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 3 binary32))) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 4 binary32))))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 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 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) c)) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))) c) |
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 binary32)) (*.f32 c c)) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) (*.f32 cosTheta 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 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 3 binary32)) (*.f32 c (*.f32 c c)))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) (*.f32 cosTheta c))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 binary32)) (*.f32 c c)))) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)) 1) c)) |
(/.f32 (+.f32 (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) (*.f32 cosTheta c)) (+.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 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) (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 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 binary32))) (neg.f32 c)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 (-.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))) (neg.f32 cosTheta)) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (neg.f32 (+.f32 (*.f32 cosTheta (-.f32 (-.f32 (*.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (-.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))))) (-.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))))) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) |
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 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))))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))))) #s(literal 2 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 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 cosTheta (exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))))) #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32)))) (/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))))) #s(literal 2 binary32))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))))) #s(literal 2 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) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))))) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (+.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 cosTheta (exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))))) #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32)))) (/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))))) #s(literal 2 binary32)))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))))))) (*.f32 #s(literal 1/16 binary32) (+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))))) #s(literal 2 binary32)))) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (*.f32 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 4 binary32))) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))))) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (+.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) (exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))))) #s(literal 3 binary32))))) (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))))) #s(literal 2 binary32))))))) |
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
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(+ (* 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))))))))) |
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(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) #s(literal 3 binary32)))))))) |
(+ 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)))))) |
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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)))) |
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c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
(neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) (neg.f32 c)) #s(literal -1 binary32)))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
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(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))) |
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
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(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) cosTheta) |
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
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(+ 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 (/ (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 2) (pow c 2))) (+ (* (/ (- 1 cosTheta) (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 c))) c) |
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(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 2) c) (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI)))))) c)) 1) c)) |
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 3) c) (pow (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) 2)) c)) (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI)))))) c)) 1) c)) |
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) #s(literal 2 binary32))) (neg.f32 c)) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* (* cosTheta (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)) (sqrt (pow (PI) 3))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (* (pow (PI) 2) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 3)))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (neg.f32 (-.f32 (*.f32 (*.f32 cosTheta (*.f32 (PI.f32) (PI.f32))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 3 binary32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))))) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) |
(/ 1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) |
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(+ (* -1 (* (/ 1 (* cosTheta (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (sqrt (/ 1 (PI))))) (/ 1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))) |
(- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 3)))) (/ 1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) (* (/ 1 (* cosTheta (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (sqrt (/ 1 (PI))))) |
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 3 binary32))))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))) |
(- (+ (* -1 (* (/ 1 (* (pow cosTheta 3) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 4))) (sqrt (/ 1 (pow (PI) 3))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 3)))) (/ 1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))) (* (/ 1 (* cosTheta (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (sqrt (/ 1 (PI))))) |
(-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 3 binary32))))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 4 binary32))))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))) |
(/ 1 (+ c (* -1 (- (sqrt (/ 1 (PI))) 1)))) |
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(+ (* -1 (* (/ 1 (* cosTheta (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 2))) (sqrt (/ 1 (PI))))) (/ 1 (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))) |
(+ (* -1 (* (/ 1 (* cosTheta (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 2))) (sqrt (/ 1 (PI))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 3)))) (/ 1 (+ c (* -1 (- (sqrt (/ 1 (PI))) 1)))))) |
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 3 binary32))))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 4))) (sqrt (/ 1 (pow (PI) 3))))) (/ 1 (* (PI) (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 3)))) cosTheta)) (* -1 (* (sqrt (/ 1 (PI))) (/ 1 (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 2))))) cosTheta)) (/ 1 (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 3 binary32))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 cosTheta (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 4 binary32))))) (neg.f32 cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))) cosTheta)) |
(+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) |
(+ 1 (+ c (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI)))))) |
(+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(+ 1 (+ c (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI)))))) |
(+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(+ 1 (+ c (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI)))))) |
(+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
c |
(* c (+ 1 (+ (* (/ (- 1 cosTheta) (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 c)))) |
(+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) #s(literal 1 binary32)) |
(* c (+ 1 (+ (* (/ (- 1 cosTheta) (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 c)))) |
(+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) #s(literal 1 binary32)) |
(* c (+ 1 (+ (* (/ (- 1 cosTheta) (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 c)))) |
(+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) #s(literal 1 binary32)) |
c |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) c)) 1))) |
(neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (neg.f32 c)) #s(literal -1 binary32)))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) c)) 1))) |
(neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (neg.f32 c)) #s(literal -1 binary32)))) |
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))))) c)) 1))) |
(neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (neg.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))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) |
(-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) |
(+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) |
(-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ c (+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(+ c (+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(+ c (+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 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))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta) |
(+ 1 (* -1 (sqrt (/ 1 (PI))))) |
(-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) |
(+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) |
(+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) |
(* -1 (- (sqrt (/ 1 (PI))) 1)) |
(-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) |
(+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) |
(+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c)))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c)))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c)))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c))))) |
(* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c)))) |
(*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c))) |
(* (pow cosTheta 2) (+ (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (+.f32 (*.f32 (PI.f32) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c))) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))) |
(* (pow cosTheta 2) (+ (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (+.f32 (*.f32 (PI.f32) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c))) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))) |
(* (pow cosTheta 2) (+ (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (+.f32 (*.f32 (PI.f32) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c))) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))) |
(* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c)))) |
(*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c))) |
(* (pow cosTheta 2) (+ (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (+.f32 (*.f32 (PI.f32) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c))) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))) |
(* (pow cosTheta 2) (+ (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (+.f32 (*.f32 (PI.f32) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c))) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))) |
(* (pow cosTheta 2) (+ (* (PI) (- (sqrt (/ 1 (PI))) (+ 1 c))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 (*.f32 cosTheta cosTheta) (+.f32 (*.f32 (PI.f32) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c))) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))) |
(+ (* cosTheta (sqrt (PI))) (* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) 1)))) |
(+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) |
(+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (+ (* cosTheta (sqrt (PI))) (* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) 1))))) |
(-.f32 (+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) (*.f32 c (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (+ (* cosTheta (sqrt (PI))) (* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) 1))))) |
(-.f32 (+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) (*.f32 c (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (+ (* cosTheta (sqrt (PI))) (* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) 1))))) |
(-.f32 (+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) (*.f32 c (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 c (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) |
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (+ (* (/ cosTheta c) (sqrt (PI))) (/ (* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) 1))) c)))) |
(*.f32 c (-.f32 (+.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32))) c)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (+ (* (/ cosTheta c) (sqrt (PI))) (/ (* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) 1))) c)))) |
(*.f32 c (-.f32 (+.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32))) c)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (+ (* (/ cosTheta c) (sqrt (PI))) (/ (* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) 1))) c)))) |
(*.f32 c (-.f32 (+.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32))) c)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 c (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) |
(* -1 (* c (+ (* -1 (/ (+ (* cosTheta (sqrt (PI))) (* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) 1)))) c)) (* (pow cosTheta 2) (PI))))) |
(*.f32 (-.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (/.f32 (+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) c)) (neg.f32 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* cosTheta (sqrt (PI))) (* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) 1)))) c)) (* (pow cosTheta 2) (PI))))) |
(*.f32 (-.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (/.f32 (+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) c)) (neg.f32 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* cosTheta (sqrt (PI))) (* (pow cosTheta 2) (* (PI) (- (sqrt (/ 1 (PI))) 1)))) c)) (* (pow cosTheta 2) (PI))))) |
(*.f32 (-.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (/.f32 (+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) c)) (neg.f32 c)) |
(- (sqrt (/ 1 (PI))) 1) |
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)) |
(- (+ (sqrt (/ 1 (PI))) (* -1 c)) 1) |
(-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c)) |
(- (+ (sqrt (/ 1 (PI))) (* -1 c)) 1) |
(-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c)) |
(- (+ (sqrt (/ 1 (PI))) (* -1 c)) 1) |
(-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c)) |
(* -1 c) |
(neg.f32 c) |
(* c (- (* (/ 1 c) (sqrt (/ 1 (PI)))) (+ 1 (/ 1 c)))) |
(*.f32 c (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) c)))) |
(* c (- (* (/ 1 c) (sqrt (/ 1 (PI)))) (+ 1 (/ 1 c)))) |
(*.f32 c (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) c)))) |
(* c (- (* (/ 1 c) (sqrt (/ 1 (PI)))) (+ 1 (/ 1 c)))) |
(*.f32 c (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) c)))) |
(* -1 c) |
(neg.f32 c) |
(* -1 (* c (+ 1 (* -1 (/ (- (sqrt (/ 1 (PI))) 1) c))))) |
(neg.f32 (+.f32 (*.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) #s(literal 1 binary32))) |
(* -1 (* c (+ 1 (* -1 (/ (- (sqrt (/ 1 (PI))) 1) c))))) |
(neg.f32 (+.f32 (*.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) #s(literal 1 binary32))) |
(* -1 (* c (+ 1 (* -1 (/ (- (sqrt (/ 1 (PI))) 1) c))))) |
(neg.f32 (+.f32 (*.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) #s(literal 1 binary32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) |
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(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
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(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
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(+ 1 (+ c (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) |
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c |
(* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal 1 binary32)) |
(* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
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(* c (+ 1 (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) |
(+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal 1 binary32)) |
c |
(* -1 (* c (- (* -1 (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (/ 1 c))))) |
(*.f32 (neg.f32 c) (neg.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))) |
(* -1 (* c (- (* -1 (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (/ 1 c))))) |
(*.f32 (neg.f32 c) (neg.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))) |
(* -1 (* c (- (* -1 (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (/ 1 c))))) |
(*.f32 (neg.f32 c) (neg.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* c (* cosTheta (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 c (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* c (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (* c (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 c (+.f32 (*.f32 cosTheta (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* c (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))) (* cosTheta (+ (* c (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))) (* c (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))))))) cosTheta) |
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (+.f32 (*.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) #s(literal 1 binary32)) (*.f32 cosTheta (*.f32 c (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32)) (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))))))))) cosTheta) |
(* c (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c)))) |
(+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal 1 binary32)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (sqrt -2))))) (* c (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))))) |
(+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal 1 binary32))) |
(+ (* -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))))) (* c (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c)))))) |
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(+ (* -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))))) (* c (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))))))) |
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(* c (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c)))) |
(+.f32 (*.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal 1 binary32)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (* (exp (pow cosTheta 2)) (sqrt 2))))) (* c (+ 1 (+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c))))) |
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(/ (- (+ 1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c) |
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(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c) |
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(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* -1 (/ (- (/ 1 c) (+ 1 (* -1 (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c)) |
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(* -1 (/ (- (* -1 (/ (+ (* -1 (- 1 (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* -1 (/ (* (- 1 (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (- (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1)) c))) c)) 1) c)) |
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(* -1 (/ (- (* -1 (/ (+ (* -1 (- 1 (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* -1 (/ (+ (* (- 1 (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (- (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1)) (/ (* (- 1 (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (pow (- (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1) 2)) c)) c))) c)) 1) c)) |
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(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* c (* cosTheta (* (PI) (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 c (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (* (pow c 2) (pow (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 2)) (sqrt (pow (PI) 3)))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (* c (* (PI) (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 (neg.f32 cosTheta) (-.f32 (*.f32 (*.f32 c (PI.f32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32))) (*.f32 (*.f32 c c) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) #s(literal 2 binary32)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 c (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (* c (* (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) (+ (* -1 (* (* (pow c 2) (pow (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 2)) (sqrt (pow (PI) 3)))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (sqrt (PI)))) (+ (* -1 (* (* (pow c 2) (* (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (sqrt (pow (PI) 3)))) (* c (* (PI) (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (+ (* -1 (* (* (pow c 2) (pow (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 2)) (sqrt (pow (PI) 3)))) (* c (* (PI) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (* c (* (PI) (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 (neg.f32 cosTheta) (-.f32 (-.f32 (*.f32 (*.f32 c (PI.f32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) (*.f32 (*.f32 c c) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (*.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 c (PI.f32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32))) (*.f32 (*.f32 c c) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) #s(literal 2 binary32)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))) (-.f32 (*.f32 (*.f32 c (PI.f32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32))) (*.f32 (*.f32 c c) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) #s(literal 2 binary32)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (*.f32 c (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))))))) |
(/ 1 (* c (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal 1 binary32))) |
(+ (* -1/2 (* (/ 1 (* (pow c 2) (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))) 2))))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (/ 1 (* c (+ 1 (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c)))))) |
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1 |
#s(literal 1 binary32) |
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1 |
#s(literal 1 binary32) |
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(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
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(/ (+ (* cosTheta (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
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(/ (+ (* cosTheta (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))) (/ 1 c))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
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(/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) |
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(/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) |
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(/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) |
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(/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) |
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(/ (+ 1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) |
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(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) c) |
(* -1 (/ (- (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1) c)) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) c) |
(* -1 (/ (- (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1) c)) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) c) |
(* -1 (/ (- (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1) c)) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) c) |
(* -1 (/ (- (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1) c)) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) c) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (*.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))) cosTheta) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))) (/ 1 c)))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (*.f32 cosTheta (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c) (*.f32 cosTheta (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32)))))) cosTheta) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))))) (/ 1 c)))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (*.f32 cosTheta (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c) (*.f32 cosTheta (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32)) (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))))))) cosTheta) |
(+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c)) |
(+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))))) |
(+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))) |
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 c (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(+ (* -1/8 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c)))) |
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 c (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))) (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))))) |
(+ (* -1/8 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/16 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5)))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) (/ 1 c))))) |
(+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))))) (+.f32 (+.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 c (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (/ 1 c)) |
(-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (/ 1 c))) |
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) c) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* 1/8 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (/ 1 c)))) |
(+.f32 (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) c) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))) (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 c (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* -1/16 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 5)))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* 1/8 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (/ 1 c))))) |
(+.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) c) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))))) (+.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 c (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) c) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))))) (/.f32 #s(literal 1 binary32) c))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI))))) |
(*.f32 cosTheta (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (* cosTheta (+ (PI) (* -4 (PI)))) (sqrt (/ 1 (PI))))))))) |
(*.f32 cosTheta (+.f32 (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 #s(literal -3 binary32) (PI.f32)))))))) |
(* 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 cosTheta (+.f32 (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (*.f32 cosTheta (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (*.f32 #s(literal -3 binary32) (PI.f32)) (*.f32 cosTheta (+.f32 (*.f32 (PI.f32) #s(literal -8 binary32)) (*.f32 #s(literal 3 binary32) (PI.f32))))))))))) |
(* (sqrt (* cosTheta (PI))) (sqrt -1/2)) |
(*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -1/2 binary32))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))) |
(*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -1/2 binary32)))) (*.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)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))) |
(*.f32 cosTheta (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))) (+.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 (PI.f32) 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 cosTheta (+.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))) (+.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 (PI.f32) cosTheta)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/64 binary32) (*.f32 cosTheta (PI.f32))) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/16 binary32))) (sqrt.f32 #s(literal -1/2 binary32)))))) |
(* (sqrt (* cosTheta (PI))) (* (sqrt -1) (sqrt 1/2))) |
(*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (*.f32 (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 (neg.f32 cosTheta) (-.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))) |
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2)))))))) |
(*.f32 (neg.f32 cosTheta) (-.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (+.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.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)) (*.f32 (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 (/ (+ (* -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 (neg.f32 cosTheta) (-.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/16 binary32)) (/.f32 (*.f32 #s(literal -1/64 binary32) (*.f32 cosTheta (PI.f32))) #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))) (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) |
(/ (+ (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 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (*.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 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta)))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) |
(+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))))) |
(+ (* -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 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))))) |
(+ (* -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))))) |
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(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2))))) |
(-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -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)))))) |
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(+ (* -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))))))) |
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(/ 1 (PI)) |
(/.f32 #s(literal 1 binary32) (PI.f32)) |
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
(+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)))) |
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
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(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
(+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)))) |
(* -2 (/ cosTheta (PI))) |
(*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32)))) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32)))) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32)))) |
(* -2 (/ cosTheta (PI))) |
(*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta (PI.f32))))) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta (PI.f32))))) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta (PI.f32))))) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* -1 (* cosTheta (sqrt (/ 1 (PI))))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 cosTheta)) |
(* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) |
(* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) |
(* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) |
(* -1 (* cosTheta (sqrt (/ 1 (PI))))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 cosTheta)) |
(* -1 (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))) |
(*.f32 (neg.f32 cosTheta) (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(* -1 (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))) |
(*.f32 (neg.f32 cosTheta) (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(* -1 (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))) |
(*.f32 (neg.f32 cosTheta) (*.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)))) |
(-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(- (+ 1 c) (sqrt (/ 1 (PI)))) |
(-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(- (+ 1 c) (sqrt (/ 1 (PI)))) |
(-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(- (+ 1 c) (sqrt (/ 1 (PI)))) |
(-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
c |
(* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI)))))) |
(+.f32 (*.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) #s(literal 1 binary32)) |
(* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI)))))) |
(+.f32 (*.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) #s(literal 1 binary32)) |
(* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI)))))) |
(+.f32 (*.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) #s(literal 1 binary32)) |
c |
(* -1 (* c (- (* -1 (/ (- 1 (sqrt (/ 1 (PI)))) c)) 1))) |
(*.f32 (neg.f32 c) (+.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) #s(literal -1 binary32))) |
(* -1 (* c (- (* -1 (/ (- 1 (sqrt (/ 1 (PI)))) c)) 1))) |
(*.f32 (neg.f32 c) (+.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) #s(literal -1 binary32))) |
(* -1 (* c (- (* -1 (/ (- 1 (sqrt (/ 1 (PI)))) c)) 1))) |
(*.f32 (neg.f32 c) (+.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) #s(literal -1 binary32))) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta)))))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32)))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(*.f32 cosTheta (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(neg.f32 (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))) |
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) |
(/ (+ (* -1 (* (/ cosTheta c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 #s(literal -1 binary32) (/.f32 cosTheta c)))) cosTheta) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) cosTheta) |
(/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))))))) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta) |
(/.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32)) (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) cosTheta) |
(* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))) |
(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta)))) |
(+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) |
(+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 c (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(+ (* -1/8 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI))))))) |
(+.f32 (+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 c (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))))) |
(+ (* -1/8 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))) (+ (* 1/16 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5)))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (+ (* 1/2 (* (/ 1 (* c (* (exp (pow cosTheta 2)) (sqrt -2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* (/ (sqrt -2) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))))) |
(+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))))) (+.f32 (+.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (*.f32 (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 c (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) |
(/.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta)))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI))))))) |
(-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) c) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (* 1/8 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI)))))))) |
(+.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) c) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 c (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(+ (* -1 (* (/ (* (sqrt -1) (sqrt 2)) (* c (exp (pow cosTheta 2)))) (sqrt (/ 1 (* cosTheta (PI)))))) (+ (* -1/2 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (sqrt 2)))) (sqrt (/ 1 (* (pow cosTheta 3) (PI)))))) (+ (* -1/16 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 5)))) (sqrt (/ 1 (* (pow cosTheta 7) (PI)))))) (* 1/8 (* (/ (sqrt -1) (* c (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))) (sqrt (/ 1 (* (pow cosTheta 5) (PI))))))))) |
(+.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) c) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 c (exp.f32 (*.f32 cosTheta cosTheta))))) (+.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 c (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) c) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 (*.f32 cosTheta c) (exp.f32 (*.f32 cosTheta cosTheta)))) |
Compiled 52 579 to 7 628 computations (85.5% saved)
50 alts after pruning (48 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 713 | 28 | 1 741 |
| Fresh | 4 | 20 | 24 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 722 | 50 | 1 772 |
| Status | Accuracy | Program |
|---|---|---|
| 92.4% | (pow.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) #s(literal -1/2 binary32)) #s(literal 2 binary32)) | |
| 59.6% | (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 2 binary32)) #s(literal -1/2 binary32)) | |
| 91.8% | (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 cosTheta)) #s(literal 2 binary32)) | |
| 59.3% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)))))) c) | |
| 2.6% | (/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) c) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) | |
| 5.0% | (/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) | |
| 92.5% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) | |
| 95.9% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c)) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) #s(literal 1 binary32)) c)) | |
| 95.8% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) | |
| 92.3% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) 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 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 57.2% | (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) #s(literal 1 binary32))) | |
| 96.4% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 cosTheta (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) | |
| 95.8% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32))) (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)))) cosTheta))) | |
| ▶ | 95.8% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
| 95.8% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta))) cosTheta))) | |
| 95.8% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) | |
| 95.8% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)))) cosTheta))) | |
| 95.4% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) | |
| 96.3% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (/.f32 #s(literal 1 binary32) cosTheta)) (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) | |
| 95.9% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) | |
| 96.5% | (/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))) | |
| ▶ | 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
| 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) | |
| ▶ | 98.5% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 95.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) | |
| 54.1% | (/.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))) | |
| 57.1% | (/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 #s(literal -1 binary32) (/.f32 cosTheta c)))) cosTheta))))) | |
| 57.2% | (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (neg.f32 c)) #s(literal -1 binary32))))) | |
| ✓ | 4.9% | (/.f32 #s(literal 1 binary32) c) |
| 96.4% | (+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) | |
| 59.2% | (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)))))) (/.f32 #s(literal 1 binary32) c)) | |
| 61.0% | (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) | |
| 96.4% | (*.f32 cosTheta (-.f32 (sqrt.f32 (*.f32 (PI.f32) (log.f32 (E.f32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) | |
| 96.4% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) | |
| ▶ | 93.1% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
| 96.3% | (*.f32 cosTheta (*.f32 cosTheta (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) | |
| 95.8% | (*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)))))) | |
| 10.6% | (*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) | |
| 93.1% | (*.f32 cosTheta (sqrt.f32 (PI.f32))) | |
| 5.0% | (*.f32 c (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) | |
| 2.5% | (*.f32 c (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) | |
| 2.7% | (*.f32 c (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) | |
| 2.7% | (*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))))) | |
| 5.0% | (*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) | |
| 96.3% | (*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) | |
| 10.6% | (*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) | |
| ▶ | 10.6% | (*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
| 90.3% | (exp.f32 (*.f32 (log1p.f32 (+.f32 c (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal -1 binary32))) |
Compiled 2 161 to 1 346 computations (37.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
| ✓ | cost-diff | 32 | (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) |
| ✓ | cost-diff | 32 | (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
| ✓ | cost-diff | 32 | (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) |
| ✓ | cost-diff | 64 | (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) |
| ✓ | cost-diff | 192 | (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 cosTheta (PI.f32)) c) |
| ✓ | cost-diff | 0 | (PI.f32) |
| ✓ | cost-diff | 0 | (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c)) |
| ✓ | cost-diff | 0 | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
| ✓ | cost-diff | 0 | (neg.f32 (PI.f32)) |
| ✓ | cost-diff | 0 | (*.f32 cosTheta cosTheta) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32))) |
| ✓ | cost-diff | 0 | (*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| ✓ | cost-diff | 32 | (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
| 14 018× | accelerator-lowering-fma.f32 |
| 14 018× | accelerator-lowering-fma.f64 |
| 2 040× | *-lowering-*.f32 |
| 2 040× | *-lowering-*.f64 |
| 1 698× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 407 |
| 1 | 112 | 394 |
| 2 | 272 | 390 |
| 3 | 601 | 390 |
| 4 | 1288 | 361 |
| 5 | 3399 | 360 |
| 6 | 6850 | 360 |
| 0 | 8152 | 343 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
1 |
(+ 1 (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) |
(* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta))) |
(/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) |
(* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta) |
(pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) |
(/ (+ 1 (* cosTheta -2)) (PI)) |
(+ 1 (* cosTheta -2)) |
(* cosTheta -2) |
cosTheta |
-2 |
(PI) |
-1/2 |
(exp (* (neg cosTheta) cosTheta)) |
(* (neg cosTheta) cosTheta) |
(neg cosTheta) |
(* c (* (* cosTheta cosTheta) (neg (PI)))) |
c |
(* (* cosTheta cosTheta) (neg (PI))) |
(* cosTheta cosTheta) |
cosTheta |
(neg (PI)) |
(PI) |
(* cosTheta (- (sqrt (PI)) (* (* cosTheta (PI)) c))) |
cosTheta |
(- (sqrt (PI)) (* (* cosTheta (PI)) c)) |
(sqrt (PI)) |
(PI) |
(* (* cosTheta (PI)) c) |
(* cosTheta (PI)) |
c |
(/ 1 (+ c (/ (+ cosTheta (/ (* (+ (* cosTheta cosTheta) -1) 1) (* (+ (neg cosTheta) -1) (pow (PI) 1/2)))) cosTheta))) |
1 |
(+ c (/ (+ cosTheta (/ (* (+ (* cosTheta cosTheta) -1) 1) (* (+ (neg cosTheta) -1) (pow (PI) 1/2)))) cosTheta)) |
c |
(/ (+ cosTheta (/ (* (+ (* cosTheta cosTheta) -1) 1) (* (+ (neg cosTheta) -1) (pow (PI) 1/2)))) cosTheta) |
(+ cosTheta (/ (* (+ (* cosTheta cosTheta) -1) 1) (* (+ (neg cosTheta) -1) (pow (PI) 1/2)))) |
cosTheta |
(/ (* (+ (* cosTheta cosTheta) -1) 1) (* (+ (neg cosTheta) -1) (pow (PI) 1/2))) |
(* (+ (* cosTheta cosTheta) -1) 1) |
(+ (* cosTheta cosTheta) -1) |
(* cosTheta cosTheta) |
-1 |
(* (+ (neg cosTheta) -1) (pow (PI) 1/2)) |
(+ (neg cosTheta) -1) |
(neg cosTheta) |
(pow (PI) 1/2) |
(PI) |
1/2 |
(/ 1 (+ 1 (/ (* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))) cosTheta))) |
1 |
(+ 1 (/ (* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))) cosTheta)) |
(/ (* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))) cosTheta) |
(* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))) |
(exp (- 0 (* cosTheta cosTheta))) |
(- 0 (* cosTheta cosTheta)) |
0 |
(* cosTheta cosTheta) |
cosTheta |
(sqrt (/ (+ 1 (* cosTheta -2)) (PI))) |
(/ (+ 1 (* cosTheta -2)) (PI)) |
(+ 1 (* cosTheta -2)) |
(* cosTheta -2) |
-2 |
(PI) |
| Outputs |
|---|
(/ 1 (+ 1 (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) |
(+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))) |
(/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) |
(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) |
(* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta) |
(*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) |
(pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) |
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) |
(/ (+ 1 (* cosTheta -2)) (PI)) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) |
(+ 1 (* cosTheta -2)) |
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) |
(* cosTheta -2) |
(*.f32 cosTheta #s(literal -2 binary32)) |
cosTheta |
-2 |
#s(literal -2 binary32) |
(PI) |
(PI.f32) |
-1/2 |
#s(literal -1/2 binary32) |
(exp (* (neg cosTheta) cosTheta)) |
(exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) |
(* (neg cosTheta) cosTheta) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
(neg cosTheta) |
(neg.f32 cosTheta) |
(* c (* (* cosTheta cosTheta) (neg (PI)))) |
(*.f32 (PI.f32) (*.f32 (*.f32 cosTheta (neg.f32 cosTheta)) c)) |
c |
(* (* cosTheta cosTheta) (neg (PI))) |
(*.f32 (PI.f32) (*.f32 cosTheta (neg.f32 cosTheta))) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
cosTheta |
(neg (PI)) |
(neg.f32 (PI.f32)) |
(PI) |
(PI.f32) |
(* cosTheta (- (sqrt (PI)) (* (* cosTheta (PI)) c))) |
(*.f32 cosTheta (-.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 cosTheta c)))) |
cosTheta |
(- (sqrt (PI)) (* (* cosTheta (PI)) c)) |
(-.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 cosTheta c))) |
(sqrt (PI)) |
(pow.f32 (PI.f32) #s(literal 1/2 binary32)) |
(PI) |
(PI.f32) |
(* (* cosTheta (PI)) c) |
(*.f32 (PI.f32) (*.f32 cosTheta c)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
c |
(/ 1 (+ c (/ (+ cosTheta (/ (* (+ (* cosTheta cosTheta) -1) 1) (* (+ (neg cosTheta) -1) (pow (PI) 1/2)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta)))) |
1 |
#s(literal 1 binary32) |
(+ c (/ (+ cosTheta (/ (* (+ (* cosTheta cosTheta) -1) 1) (* (+ (neg cosTheta) -1) (pow (PI) 1/2)))) cosTheta)) |
(+.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta))) |
c |
(/ (+ cosTheta (/ (* (+ (* cosTheta cosTheta) -1) 1) (* (+ (neg cosTheta) -1) (pow (PI) 1/2)))) cosTheta) |
(-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta)) |
(+ cosTheta (/ (* (+ (* cosTheta cosTheta) -1) 1) (* (+ (neg cosTheta) -1) (pow (PI) 1/2)))) |
(+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
cosTheta |
(/ (* (+ (* cosTheta cosTheta) -1) 1) (* (+ (neg cosTheta) -1) (pow (PI) 1/2))) |
(/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(* (+ (* cosTheta cosTheta) -1) 1) |
(+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) |
(+ (* cosTheta cosTheta) -1) |
(+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
-1 |
#s(literal -1 binary32) |
(* (+ (neg cosTheta) -1) (pow (PI) 1/2)) |
(*.f32 (-.f32 #s(literal -1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(+ (neg cosTheta) -1) |
(-.f32 #s(literal -1 binary32) cosTheta) |
(neg cosTheta) |
(neg.f32 cosTheta) |
(pow (PI) 1/2) |
(pow.f32 (PI.f32) #s(literal 1/2 binary32)) |
(PI) |
(PI.f32) |
1/2 |
#s(literal 1/2 binary32) |
(/ 1 (+ 1 (/ (* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (/ (* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))) cosTheta)) |
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) |
(/ (* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))) cosTheta) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) |
(exp (- 0 (* cosTheta cosTheta))) |
(exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) |
(- 0 (* cosTheta cosTheta)) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
0 |
#s(literal 0 binary32) |
(* cosTheta cosTheta) |
(*.f32 cosTheta cosTheta) |
cosTheta |
(sqrt (/ (+ 1 (* cosTheta -2)) (PI))) |
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) |
(/ (+ 1 (* cosTheta -2)) (PI)) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) |
(+ 1 (* cosTheta -2)) |
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) |
(* cosTheta -2) |
(*.f32 cosTheta #s(literal -2 binary32)) |
-2 |
#s(literal -2 binary32) |
(PI) |
(PI.f32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
| ✓ | accuracy | 98.3% | (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta) |
| ✓ | accuracy | 97.6% | (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) |
| ✓ | accuracy | 99.6% | (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
| ✓ | accuracy | 98.3% | (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta) |
| ✓ | accuracy | 97.5% | (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
| ✓ | accuracy | 100.0% | (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c)) |
| ✓ | accuracy | 99.6% | (*.f32 (*.f32 cosTheta (PI.f32)) c) |
| ✓ | accuracy | 98.9% | (*.f32 cosTheta (PI.f32)) |
| ✓ | accuracy | 98.7% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
| ✓ | accuracy | 100.0% | (neg.f32 (PI.f32)) |
| ✓ | accuracy | 100.0% | (PI.f32) |
| ✓ | accuracy | 99.8% | (*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
| ✓ | accuracy | 99.2% | (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32))) |
| ✓ | accuracy | 99.8% | (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) |
| ✓ | accuracy | 99.1% | (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) |
| ✓ | accuracy | 99.0% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| ✓ | accuracy | 98.9% | (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta) |
| 92.0ms | 256× | 0 | valid |
Compiled 434 to 48 computations (88.9% saved)
ival-div: 22.0ms (30.2% of total)ival-mult: 18.0ms (24.7% of total)ival-add: 8.0ms (11% of total)ival-neg: 8.0ms (11% of total)ival-pow: 6.0ms (8.2% of total)ival-exp: 4.0ms (5.5% of total)ival-sqrt: 3.0ms (4.1% of total)ival-sub: 2.0ms (2.7% of total)ival-pi: 1.0ms (1.4% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta)))> |
#<alt (/ 1 (+ 1 (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta)))))> |
#<alt (+ 1 (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta))))> |
#<alt (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta))> |
#<alt (* c (* (* cosTheta cosTheta) (neg (PI))))> |
#<alt (* (* cosTheta cosTheta) (neg (PI)))> |
#<alt (* cosTheta cosTheta)> |
#<alt (neg (PI))> |
#<alt (* cosTheta (- (sqrt (PI)) (* (* cosTheta (PI)) c)))> |
#<alt (- (sqrt (PI)) (* (* cosTheta (PI)) c))> |
#<alt (PI)> |
#<alt (* (* cosTheta (PI)) c)> |
#<alt (/ (* (+ (* cosTheta cosTheta) -1) 1) (* (+ (neg cosTheta) -1) (pow (PI) 1/2)))> |
#<alt (* (+ (* cosTheta cosTheta) -1) 1)> |
#<alt (+ (neg cosTheta) -1)> |
#<alt (/ 1 (+ c (/ (+ cosTheta (/ (* (+ (* cosTheta cosTheta) -1) 1) (* (+ (neg cosTheta) -1) (pow (PI) 1/2)))) cosTheta)))> |
#<alt (* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI))))> |
#<alt (- 0 (* cosTheta cosTheta))> |
#<alt (/ 1 (+ 1 (/ (* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))) cosTheta)))> |
#<alt (+ 1 (/ (* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))) cosTheta))> |
#<alt (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)> |
#<alt (/ (+ 1 (* cosTheta -2)) (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (/ (+ cosTheta (/ (* (+ (* cosTheta cosTheta) -1) 1) (* (+ (neg cosTheta) -1) (pow (PI) 1/2)))) cosTheta)> |
#<alt (* (+ (neg cosTheta) -1) (pow (PI) 1/2))> |
#<alt (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))> |
#<alt (/ (* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))) cosTheta)> |
| Outputs |
|---|
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta)> |
#<alt (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))> |
#<alt (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI))))))))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI))))))))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (* -1 (sqrt (/ 1 (PI))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI))))))))))> |
#<alt (/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))> |
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2))))) (/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2))))))> |
#<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 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2))))))) (* (sqrt -2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2))))))))> |
#<alt (/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))> |
#<alt (- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3)))))))) (* (sqrt 2) (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3)))))))))> |
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))))))) cosTheta)> |
#<alt (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))> |
#<alt (+ 1 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))> |
#<alt (+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))> |
#<alt (+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))> |
#<alt (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))> |
#<alt (+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))))> |
#<alt (+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))> |
#<alt (+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))> |
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)> |
#<alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))> |
#<alt (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3))))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* c (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* (pow cosTheta 2) (PI)))> |
#<alt (* -1 (* (pow cosTheta 2) (PI)))> |
#<alt (* -1 (* (pow cosTheta 2) (PI)))> |
#<alt (* -1 (* (pow cosTheta 2) (PI)))> |
#<alt (* -1 (* (pow cosTheta 2) (PI)))> |
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#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))> |
#<alt (- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))))> |
#<alt (- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3)))))))) (* (sqrt 2) (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (* 1/4 (/ (pow (exp (neg (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3)))))))))> |
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))))))) cosTheta)> |
#<alt (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))> |
#<alt (+ 1 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))> |
#<alt (+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))> |
#<alt (+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))))> |
#<alt (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))> |
#<alt (+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))))> |
#<alt (+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))> |
#<alt (+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))> |
#<alt (* cosTheta (sqrt (PI)))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI)))))> |
#<alt (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (* cosTheta (+ (PI) (* -4 (PI)))) (sqrt (/ 1 (PI)))))))))> |
#<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)))))))))))> |
#<alt (* (sqrt (* cosTheta (PI))) (sqrt -1/2))> |
#<alt (* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))> |
#<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)))))> |
#<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))))))> |
#<alt (* (sqrt (* cosTheta (PI))) (* (sqrt -1) (sqrt 1/2)))> |
#<alt (* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2)))))))> |
#<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))))))))> |
#<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))))))))> |
#<alt (/ 1 (PI))> |
#<alt (+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))> |
#<alt (+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))> |
#<alt (+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))> |
#<alt (* -2 (/ cosTheta (PI)))> |
#<alt (* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))> |
#<alt (* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))> |
#<alt (* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))> |
#<alt (* -2 (/ cosTheta (PI)))> |
#<alt (* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))> |
#<alt (* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))> |
#<alt (* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* cosTheta (PI))> |
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta)> |
#<alt (+ 1 (* -1 (sqrt (/ 1 (PI)))))> |
#<alt (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))> |
#<alt (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))> |
#<alt (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))> |
#<alt (* -1 (- (sqrt (/ 1 (PI))) 1))> |
#<alt (+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))> |
#<alt (+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))> |
#<alt (+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))> |
#<alt (* -1 (sqrt (PI)))> |
#<alt (+ (* -1 (sqrt (PI))) (* -1 (* cosTheta (sqrt (PI)))))> |
#<alt (+ (* -1 (sqrt (PI))) (* -1 (* cosTheta (sqrt (PI)))))> |
#<alt (+ (* -1 (sqrt (PI))) (* -1 (* cosTheta (sqrt (PI)))))> |
#<alt (* -1 (* cosTheta (sqrt (PI))))> |
#<alt (* cosTheta (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (PI))))))> |
#<alt (* cosTheta (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (PI))))))> |
#<alt (* cosTheta (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (PI))))))> |
#<alt (* -1 (* cosTheta (sqrt (PI))))> |
#<alt (* -1 (* cosTheta (+ (sqrt (PI)) (* (/ 1 cosTheta) (sqrt (PI))))))> |
#<alt (* -1 (* cosTheta (+ (sqrt (PI)) (* (/ 1 cosTheta) (sqrt (PI))))))> |
#<alt (* -1 (* cosTheta (+ (sqrt (PI)) (* (/ 1 cosTheta) (sqrt (PI))))))> |
#<alt (sqrt (/ 1 (PI)))> |
#<alt (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))> |
#<alt (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))> |
#<alt (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))))> |
#<alt (* (sqrt (/ cosTheta (PI))) (sqrt -2))> |
#<alt (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))> |
#<alt (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))> |
#<alt (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))))> |
#<alt (* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2))))> |
#<alt (* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))> |
#<alt (* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))> |
#<alt (* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))))> |
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta)> |
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta)> |
#<alt (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))> |
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))> |
#<alt (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))> |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | cosTheta | @ | -inf | (/ 1 (+ 1 (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
| 6.0ms | cosTheta | @ | -inf | (/ 1 (+ 1 (/ (* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))) cosTheta))) |
| 3.0ms | cosTheta | @ | inf | (/ 1 (+ 1 (/ (* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))) cosTheta))) |
| 3.0ms | cosTheta | @ | inf | (/ 1 (+ 1 (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
| 1.0ms | c | @ | 0 | (/ 1 (+ c (/ (+ cosTheta (/ (* (+ (* cosTheta cosTheta) -1) 1) (* (+ (neg cosTheta) -1) (pow (PI) 1/2)))) cosTheta))) |
| 1× | batch-egg-rewrite |
| 5 594× | *-lowering-*.f32 |
| 5 594× | *-lowering-*.f64 |
| 4 086× | accelerator-lowering-fma.f32 |
| 4 086× | accelerator-lowering-fma.f64 |
| 3 176× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 295 |
| 1 | 293 | 247 |
| 2 | 2471 | 244 |
| 0 | 9266 | 228 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta))) |
(/ 1 (+ 1 (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) |
(+ 1 (* (/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) |
(/ 1 (* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta)) |
(* c (* (* cosTheta cosTheta) (neg (PI)))) |
(* (* cosTheta cosTheta) (neg (PI))) |
(* cosTheta cosTheta) |
(neg (PI)) |
(* cosTheta (- (sqrt (PI)) (* (* cosTheta (PI)) c))) |
(- (sqrt (PI)) (* (* cosTheta (PI)) c)) |
(PI) |
(* (* cosTheta (PI)) c) |
(/ (* (+ (* cosTheta cosTheta) -1) 1) (* (+ (neg cosTheta) -1) (pow (PI) 1/2))) |
(* (+ (* cosTheta cosTheta) -1) 1) |
(+ (neg cosTheta) -1) |
(/ 1 (+ c (/ (+ cosTheta (/ (* (+ (* cosTheta cosTheta) -1) 1) (* (+ (neg cosTheta) -1) (pow (PI) 1/2)))) cosTheta))) |
(* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))) |
(- 0 (* cosTheta cosTheta)) |
(/ 1 (+ 1 (/ (* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))) cosTheta))) |
(+ 1 (/ (* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))) cosTheta)) |
(* (pow (/ (+ 1 (* cosTheta -2)) (PI)) -1/2) cosTheta) |
(/ (+ 1 (* cosTheta -2)) (PI)) |
(* cosTheta (PI)) |
(/ (+ cosTheta (/ (* (+ (* cosTheta cosTheta) -1) 1) (* (+ (neg cosTheta) -1) (pow (PI) 1/2)))) cosTheta) |
(* (+ (neg cosTheta) -1) (pow (PI) 1/2)) |
(sqrt (/ (+ 1 (* cosTheta -2)) (PI))) |
(/ (* (exp (- 0 (* cosTheta cosTheta))) (sqrt (/ (+ 1 (* cosTheta -2)) (PI)))) cosTheta) |
| Outputs |
|---|
(neg.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) (neg.f32 cosTheta))) |
(neg.f32 (/.f32 (neg.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) cosTheta)) |
(exp.f32 (*.f32 (log.f32 (/.f32 cosTheta (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal -1 binary32))) |
(exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) |
(exp.f32 (+.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) |
(exp.f32 (-.f32 (*.f32 (log.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) |
(pow.f32 (/.f32 cosTheta (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) |
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(pow.f32 (/.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal -1 binary32)) |
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(PI.f32) |
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(pow.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/4 binary32)) #s(literal -2 binary32)) |
(pow.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) #s(literal 1/4 binary32)) |
(pow.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) |
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))) |
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(/.f32 (pow.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (PI.f32)) #s(literal 1/2 binary32))) |
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) #s(literal -8 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta #s(literal -2 binary32)) (-.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32))))))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))))) |
(/.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/4 binary32))) |
(/.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) |
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))))) |
(/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) #s(literal -8 binary32))) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta #s(literal -2 binary32)) (-.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32)))) (PI.f32)))) |
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32))) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) |
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))))) (sqrt.f32 (neg.f32 (neg.f32 (PI.f32))))) |
(/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) #s(literal -8 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta #s(literal -2 binary32)) (-.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32)))) #s(literal 1/2 binary32))) |
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) |
(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) |
(/.f32 (sqrt.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) |
(*.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))) |
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/4 binary32))) |
(*.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) |
(neg.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) (neg.f32 cosTheta))) |
(neg.f32 (/.f32 (neg.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) cosTheta)) |
(exp.f32 (*.f32 (log.f32 (/.f32 cosTheta (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal -1 binary32))) |
(exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) |
(exp.f32 (+.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)))) |
(exp.f32 (-.f32 (*.f32 (log.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) |
(pow.f32 (/.f32 cosTheta (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 cosTheta (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) |
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(/.f32 #s(literal -1 binary32) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) |
(/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))) |
(/.f32 (neg.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) (neg.f32 cosTheta)) |
(/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) |
(/.f32 (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) |
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) cosTheta) |
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (neg.f32 cosTheta)) |
(/.f32 (*.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) |
(/.f32 (neg.f32 (neg.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (neg.f32 (neg.f32 cosTheta))) |
(/.f32 (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))) (neg.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))))) |
(/.f32 (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) cosTheta) |
(/.f32 (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))) |
(/.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal -1 binary32)) (neg.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))))) |
(/.f32 (*.f32 #s(literal -1 binary32) (exp.f32 (*.f32 cosTheta cosTheta))) (neg.f32 (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))))) |
(/.f32 (/.f32 (neg.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) #s(literal -1 binary32)) cosTheta) |
(*.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))) |
(*.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) |
(*.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) cosTheta)) |
(*.f32 (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 1 binary32)) |
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) cosTheta)) |
(*.f32 (neg.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (neg.f32 cosTheta))) |
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) |
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta))) |
(*.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) cosTheta)) |
| 1× | egg-herbie |
| 9 848× | accelerator-lowering-fma.f32 |
| 9 848× | accelerator-lowering-fma.f64 |
| 7 532× | *-lowering-*.f32 |
| 7 532× | *-lowering-*.f64 |
| 3 384× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 808 | 8973 |
| 1 | 2830 | 8419 |
| 0 | 8149 | 8162 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (* -1 (sqrt (/ 1 (PI))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2))))) (/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
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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 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2))))))) (* (sqrt -2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2)))))))) |
(/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
(- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3)))))))) (* (sqrt 2) (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3))))))))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))))))) cosTheta) |
(+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(+ 1 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+ 1 (+ (* -1/8 (* (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 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) |
(+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))) |
(+ 1 (+ (* -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 (+ (* -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) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3))))))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI)))))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI)))))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI)))))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* (pow cosTheta 2) (+ (* -1 (* c (PI))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* (pow cosTheta 2) (+ (* -1 (* c (PI))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* (pow cosTheta 2) (+ (* -1 (* c (PI))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* (pow cosTheta 2) (+ (* -1 (* c (PI))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* (pow cosTheta 2) (+ (* -1 (* c (PI))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* (pow cosTheta 2) (+ (* -1 (* c (PI))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(* cosTheta (sqrt (PI))) |
(+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (* cosTheta (sqrt (PI)))) |
(+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (* cosTheta (sqrt (PI)))) |
(+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (* cosTheta (sqrt (PI)))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (* (/ cosTheta c) (sqrt (PI))))) |
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (* (/ cosTheta c) (sqrt (PI))))) |
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (* (/ cosTheta c) (sqrt (PI))))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(* -1 (* c (+ (* -1 (* (/ cosTheta c) (sqrt (PI)))) (* (pow cosTheta 2) (PI))))) |
(* -1 (* c (+ (* -1 (* (/ cosTheta c) (sqrt (PI)))) (* (pow cosTheta 2) (PI))))) |
(* -1 (* c (+ (* -1 (* (/ cosTheta c) (sqrt (PI)))) (* (pow cosTheta 2) (PI))))) |
(sqrt (PI)) |
(+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) |
(+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) |
(+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) |
(* -1 (* c (* cosTheta (PI)))) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* c (PI)))) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* c (PI)))) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* c (PI)))) |
(* -1 (* c (* cosTheta (PI)))) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* c (PI)))))) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* c (PI)))))) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* c (PI)))))) |
(sqrt (PI)) |
(+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) |
(+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) |
(+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) |
(* -1 (* c (* cosTheta (PI)))) |
(* c (- (* (/ 1 c) (sqrt (PI))) (* cosTheta (PI)))) |
(* c (- (* (/ 1 c) (sqrt (PI))) (* cosTheta (PI)))) |
(* c (- (* (/ 1 c) (sqrt (PI))) (* cosTheta (PI)))) |
(* -1 (* c (* cosTheta (PI)))) |
(* -1 (* c (- (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (* cosTheta (PI)))))) |
(* -1 (* c (- (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (* cosTheta (PI)))))) |
(* -1 (* c (- (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (* cosTheta (PI)))))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(* c (* cosTheta (PI))) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(* -1 (* cosTheta (sqrt (/ 1 (PI))))) |
(* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(* -1 (* cosTheta (sqrt (/ 1 (PI))))) |
(* -1 (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))) |
(* -1 (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))) |
(* -1 (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))) |
-1 |
(- (pow cosTheta 2) 1) |
(- (pow cosTheta 2) 1) |
(- (pow cosTheta 2) 1) |
(pow cosTheta 2) |
(* (pow cosTheta 2) (- 1 (/ 1 (pow cosTheta 2)))) |
(* (pow cosTheta 2) (- 1 (/ 1 (pow cosTheta 2)))) |
(* (pow cosTheta 2) (- 1 (/ 1 (pow cosTheta 2)))) |
(pow cosTheta 2) |
(* (pow cosTheta 2) (- 1 (/ 1 (pow cosTheta 2)))) |
(* (pow cosTheta 2) (- 1 (/ 1 (pow cosTheta 2)))) |
(* (pow cosTheta 2) (- 1 (/ 1 (pow cosTheta 2)))) |
-1 |
(- (* -1 cosTheta) 1) |
(- (* -1 cosTheta) 1) |
(- (* -1 cosTheta) 1) |
(* -1 cosTheta) |
(* -1 (* cosTheta (+ 1 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (+ 1 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (+ 1 (/ 1 cosTheta)))) |
(* -1 cosTheta) |
(* -1 (* cosTheta (+ 1 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (+ 1 (/ 1 cosTheta)))) |
(* -1 (* cosTheta (+ 1 (/ 1 cosTheta)))) |
(/ 1 (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI))))))) |
(+ (* -1 (/ c (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 2))) (/ 1 (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))))) |
(+ (* c (- (/ c (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 3)) (/ 1 (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 2)))) (/ 1 (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 4))) (/ 1 (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 3)))) (/ 1 (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 2)))) (/ 1 (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) c))) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 2) (pow c 2))) (+ (* -1 (* (/ (- (pow cosTheta 2) 1) (* c (* cosTheta (+ 1 cosTheta)))) (sqrt (/ 1 (PI))))) (/ 1 c))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 3) (pow c 3)))) (+ (* -1 (* (/ (- (pow cosTheta 2) 1) (* c (* cosTheta (+ 1 cosTheta)))) (sqrt (/ 1 (PI))))) (+ (* -1 (/ (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 2) (pow c 2))) (/ 1 c)))) c) |
(/ 1 c) |
(* -1 (/ (- (+ (* -1 (* (/ (- (pow cosTheta 2) 1) (* c (* cosTheta (+ 1 cosTheta)))) (sqrt (/ 1 (PI))))) (/ 1 c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 2) c) (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI))))))) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 3) c) (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 2)) c)) (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI))))))) c)) 1) c)) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* (* cosTheta (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)) (sqrt (pow (PI) 3))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (* (pow (PI) 2) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 3)))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(/ 1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) |
(+ (* -1 (* (/ 1 (* cosTheta (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (sqrt (/ 1 (PI))))) (/ 1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) |
(- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 3)))) (/ 1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) (* (/ 1 (* cosTheta (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (sqrt (/ 1 (PI))))) |
(- (+ (* -1 (* (/ 1 (* (pow cosTheta 3) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 4))) (sqrt (/ 1 (pow (PI) 3))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 3)))) (/ 1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))) (* (/ 1 (* cosTheta (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (sqrt (/ 1 (PI))))) |
(/ 1 (+ c (* -1 (- (sqrt (/ 1 (PI))) 1)))) |
(+ (* -1 (* (/ 1 (* cosTheta (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 2))) (sqrt (/ 1 (PI))))) (/ 1 (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))))) |
(+ (* -1 (* (/ 1 (* cosTheta (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 2))) (sqrt (/ 1 (PI))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 3)))) (/ 1 (+ c (* -1 (- (sqrt (/ 1 (PI))) 1)))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 4))) (sqrt (/ 1 (pow (PI) 3))))) (/ 1 (* (PI) (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 3)))) cosTheta)) (* -1 (* (sqrt (/ 1 (PI))) (/ 1 (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 2))))) cosTheta)) (/ 1 (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))))) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) |
(+ (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)))))))))))) |
(* (sqrt (/ cosTheta (PI))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* cosTheta (sqrt (PI))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (* -1 (sqrt (/ 1 (PI))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))) 2))))) (/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (neg (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))) 2))))))) (* (sqrt -2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))) (+ (* -1/4 (/ (pow (exp (neg (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))) 2)))))))) |
(/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
(- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3)))))))) (* (sqrt 2) (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 2))))) (* 1/4 (/ (pow (exp (neg (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) 3))))))))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))))))) cosTheta) |
(+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))) |
(+ 1 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) |
(+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))) |
(+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) |
(+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) |
(+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))) |
(+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
(* 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 (* 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 (* 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 (PI)) |
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
(* -2 (/ cosTheta (PI))) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(* -2 (/ cosTheta (PI))) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* cosTheta (PI)) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(+ 1 (* -1 (sqrt (/ 1 (PI))))) |
(+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(* -1 (- (sqrt (/ 1 (PI))) 1)) |
(+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
(* -1 (sqrt (PI))) |
(+ (* -1 (sqrt (PI))) (* -1 (* cosTheta (sqrt (PI))))) |
(+ (* -1 (sqrt (PI))) (* -1 (* cosTheta (sqrt (PI))))) |
(+ (* -1 (sqrt (PI))) (* -1 (* cosTheta (sqrt (PI))))) |
(* -1 (* cosTheta (sqrt (PI)))) |
(* cosTheta (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (PI)))))) |
(* cosTheta (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (PI)))))) |
(* cosTheta (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (PI)))))) |
(* -1 (* cosTheta (sqrt (PI)))) |
(* -1 (* cosTheta (+ (sqrt (PI)) (* (/ 1 cosTheta) (sqrt (PI)))))) |
(* -1 (* cosTheta (+ (sqrt (PI)) (* (/ 1 cosTheta) (sqrt (PI)))))) |
(* -1 (* cosTheta (+ (sqrt (PI)) (* (/ 1 cosTheta) (sqrt (PI)))))) |
(sqrt (/ 1 (PI))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
| Outputs |
|---|
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta) |
(/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/.f32 (+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) 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 (+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 (*.f32 cosTheta #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) |
(+ (* -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 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(neg.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(+.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(+.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (+.f32 (/.f32 (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1/16 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (neg.f32 (+.f32 (*.f32 cosTheta (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (sqrt (/ 1 (PI))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (* -1 (sqrt (/ 1 (PI))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 (-.f32 (-.f32 (*.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (*.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (PI.f32))))) (neg.f32 cosTheta)) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) (PI.f32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))))) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) |
(/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2))))) (/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 2 binary32))))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) 2)))))) |
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (PI.f32))) (*.f32 #s(literal -2 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 3 binary32)))) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (PI.f32))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 2 binary32))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal 2 binary32))))) |
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(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) cosTheta) |
(/.f32 (+.f32 cosTheta (+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) cosTheta))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))))))) cosTheta) |
(/.f32 (+.f32 cosTheta (+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 (*.f32 cosTheta #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) cosTheta) |
(+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) |
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(+ 1 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) |
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(+ 1 (+ (* -1/8 (* (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 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) |
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(+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))) |
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(+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
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(+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
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(* (/ 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 (neg.f32 cosTheta) #s(literal 1 binary32)) (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 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (*.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 (+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) |
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(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
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(+ (* -1/8 (* (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))))) |
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(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) #s(literal -1/2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -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)))))) |
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(+ (* -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))))))) |
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(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* (pow cosTheta 2) (PI))) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta (*.f32 cosTheta (PI.f32)))) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI)))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI)))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI)))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* (pow cosTheta 2) (+ (* -1 (* c (PI))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(* (pow cosTheta 2) (+ (* -1 (* c (PI))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(* (pow cosTheta 2) (+ (* -1 (* c (PI))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* (pow cosTheta 2) (+ (* -1 (* c (PI))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(* (pow cosTheta 2) (+ (* -1 (* c (PI))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(* (pow cosTheta 2) (+ (* -1 (* c (PI))) (* (/ 1 cosTheta) (sqrt (PI))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (* cosTheta (sqrt (PI)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (* cosTheta (sqrt (PI)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (* cosTheta (sqrt (PI)))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (* (/ cosTheta c) (sqrt (PI))))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (* (/ cosTheta c) (sqrt (PI))))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (* (/ cosTheta c) (sqrt (PI))))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(* -1 (* c (* (pow cosTheta 2) (PI)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(* -1 (* c (+ (* -1 (* (/ cosTheta c) (sqrt (PI)))) (* (pow cosTheta 2) (PI))))) |
(*.f32 (-.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c)) (neg.f32 c)) |
(* -1 (* c (+ (* -1 (* (/ cosTheta c) (sqrt (PI)))) (* (pow cosTheta 2) (PI))))) |
(*.f32 (-.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c)) (neg.f32 c)) |
(* -1 (* c (+ (* -1 (* (/ cosTheta c) (sqrt (PI)))) (* (pow cosTheta 2) (PI))))) |
(*.f32 (-.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c)) (neg.f32 c)) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) |
(-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c)) |
(+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) |
(-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c)) |
(+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) |
(-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c)) |
(* -1 (* c (* cosTheta (PI)))) |
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* c (PI)))) |
(-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c)) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* c (PI)))) |
(-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c)) |
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* c (PI)))) |
(-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c)) |
(* -1 (* c (* cosTheta (PI)))) |
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* c (PI)))))) |
(neg.f32 (+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* c (PI)))))) |
(neg.f32 (+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(* -1 (* cosTheta (- (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* c (PI)))))) |
(neg.f32 (+.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(sqrt (PI)) |
(sqrt.f32 (PI.f32)) |
(+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) |
(-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c)) |
(+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) |
(-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c)) |
(+ (sqrt (PI)) (* -1 (* c (* cosTheta (PI))))) |
(-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c)) |
(* -1 (* c (* cosTheta (PI)))) |
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) |
(* c (- (* (/ 1 c) (sqrt (PI))) (* cosTheta (PI)))) |
(*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (PI.f32)))) |
(* c (- (* (/ 1 c) (sqrt (PI))) (* cosTheta (PI)))) |
(*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (PI.f32)))) |
(* c (- (* (/ 1 c) (sqrt (PI))) (* cosTheta (PI)))) |
(*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (PI.f32)))) |
(* -1 (* c (* cosTheta (PI)))) |
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) |
(* -1 (* c (- (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (* cosTheta (PI)))))) |
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (PI.f32))) (neg.f32 c)) |
(* -1 (* c (- (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (* cosTheta (PI)))))) |
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (PI.f32))) (neg.f32 c)) |
(* -1 (* c (- (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (* cosTheta (PI)))))) |
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (PI.f32))) (neg.f32 c)) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(* c (* cosTheta (PI))) |
(*.f32 (*.f32 cosTheta (PI.f32)) c) |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* -1 (* cosTheta (sqrt (/ 1 (PI))))) |
(*.f32 cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
(*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* -1 (* cosTheta (sqrt (/ 1 (PI))))) |
(*.f32 cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(* -1 (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))) |
(*.f32 (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 cosTheta)) |
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(*.f32 (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 cosTheta)) |
-1 |
#s(literal -1 binary32) |
(- (pow cosTheta 2) 1) |
(+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) |
(- (pow cosTheta 2) 1) |
(+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) |
(- (pow cosTheta 2) 1) |
(+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(* (pow cosTheta 2) (- 1 (/ 1 (pow cosTheta 2)))) |
(*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))))) |
(* (pow cosTheta 2) (- 1 (/ 1 (pow cosTheta 2)))) |
(*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))))) |
(* (pow cosTheta 2) (- 1 (/ 1 (pow cosTheta 2)))) |
(*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))))) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(* (pow cosTheta 2) (- 1 (/ 1 (pow cosTheta 2)))) |
(*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))))) |
(* (pow cosTheta 2) (- 1 (/ 1 (pow cosTheta 2)))) |
(*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))))) |
(* (pow cosTheta 2) (- 1 (/ 1 (pow cosTheta 2)))) |
(*.f32 cosTheta (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))))) |
-1 |
#s(literal -1 binary32) |
(- (* -1 cosTheta) 1) |
(+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) |
(- (* -1 cosTheta) 1) |
(+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) |
(- (* -1 cosTheta) 1) |
(+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 (* cosTheta (+ 1 (/ 1 cosTheta)))) |
(+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) |
(* -1 (* cosTheta (+ 1 (/ 1 cosTheta)))) |
(+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) |
(* -1 (* cosTheta (+ 1 (/ 1 cosTheta)))) |
(+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 (* cosTheta (+ 1 (/ 1 cosTheta)))) |
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(* -1 (* cosTheta (+ 1 (/ 1 cosTheta)))) |
(+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) |
(* -1 (* cosTheta (+ 1 (/ 1 cosTheta)))) |
(+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) |
(/ 1 (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI))))))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))) |
(+ (* -1 (/ c (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 2))) (/ 1 (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))) (/.f32 c (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))) #s(literal 2 binary32)))) |
(+ (* c (- (/ c (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 3)) (/ 1 (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 2)))) (/ 1 (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))) (*.f32 c (+.f32 (/.f32 c (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))) #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))) #s(literal 2 binary32)))))) |
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 4))) (/ 1 (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 3)))) (/ 1 (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 2)))) (/ 1 (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))) (*.f32 c (+.f32 (*.f32 c (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))) #s(literal 3 binary32))) (/.f32 c (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))) #s(literal 4 binary32))))) (/.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))) #s(literal 2 binary32)))))) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) c))) c) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))) c)) c) |
(/ (- (+ 1 (/ (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 2) (pow c 2))) (+ (* -1 (* (/ (- (pow cosTheta 2) 1) (* c (* cosTheta (+ 1 cosTheta)))) (sqrt (/ 1 (PI))))) (/ 1 c))) c) |
(/.f32 (+.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))) #s(literal 2 binary32)) (*.f32 c c)) (-.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) c)))))) c) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 3) (pow c 3)))) (+ (* -1 (* (/ (- (pow cosTheta 2) 1) (* c (* cosTheta (+ 1 cosTheta)))) (sqrt (/ 1 (PI))))) (+ (* -1 (/ (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 2) (pow c 2))) (/ 1 c)))) c) |
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))) #s(literal 3 binary32)) (*.f32 c (*.f32 c c)))) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))) #s(literal 2 binary32)) (*.f32 c c))) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) c))))) c) |
(/ 1 c) |
(/.f32 #s(literal 1 binary32) c) |
(* -1 (/ (- (+ (* -1 (* (/ (- (pow cosTheta 2) 1) (* c (* cosTheta (+ 1 cosTheta)))) (sqrt (/ 1 (PI))))) (/ 1 c)) 1) c)) |
(/.f32 (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) c)))) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 2) c) (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI))))))) c)) 1) c)) |
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))) #s(literal 2 binary32)) c) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 3) c) (pow (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI)))))) 2)) c)) (+ 1 (* -1 (* (/ (- (pow cosTheta 2) 1) (* cosTheta (+ 1 cosTheta))) (sqrt (/ 1 (PI))))))) c)) 1) c)) |
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))) #s(literal 3 binary32)) c) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))) #s(literal 2 binary32))) (neg.f32 c)) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* (* cosTheta (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)) (sqrt (pow (PI) 3))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (* (pow (PI) 2) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 3)))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) |
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (+.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta (PI.f32)) (PI.f32))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 3 binary32))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) |
(/ 1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) |
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(+ (* -1 (* (/ 1 (* cosTheta (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (sqrt (/ 1 (PI))))) (/ 1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))) |
(- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 3)))) (/ 1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) (* (/ 1 (* cosTheta (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (sqrt (/ 1 (PI))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 3 binary32))))) (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))) |
(- (+ (* -1 (* (/ 1 (* (pow cosTheta 3) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 4))) (sqrt (/ 1 (pow (PI) 3))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 3)))) (/ 1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))) (* (/ 1 (* cosTheta (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (sqrt (/ 1 (PI))))) |
(-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 3 binary32)))))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 4 binary32))))) (/.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))) |
(/ 1 (+ c (* -1 (- (sqrt (/ 1 (PI))) 1)))) |
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) |
(+ (* -1 (* (/ 1 (* cosTheta (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 2))) (sqrt (/ 1 (PI))))) (/ 1 (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))) |
(+ (* -1 (* (/ 1 (* cosTheta (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 2))) (sqrt (/ 1 (PI))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 3)))) (/ 1 (+ c (* -1 (- (sqrt (/ 1 (PI))) 1)))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 3 binary32))))) (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 4))) (sqrt (/ 1 (pow (PI) 3))))) (/ 1 (* (PI) (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 3)))) cosTheta)) (* -1 (* (sqrt (/ 1 (PI))) (/ 1 (pow (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))) 2))))) cosTheta)) (/ 1 (+ c (* -1 (- (sqrt (/ 1 (PI))) 1))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 cosTheta (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 4 binary32))))) cosTheta) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))))) cosTheta)) |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) |
(*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) |
(+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) 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)))))))))))) |
(+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 (*.f32 cosTheta #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) |
(* (sqrt (/ cosTheta (PI))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))) |
(*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) |
(*.f32 cosTheta (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))) |
(*.f32 cosTheta (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) |
(*.f32 cosTheta (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal -1 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) |
(neg.f32 (*.f32 cosTheta (+.f32 (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))))))) |
(* -1 (pow cosTheta 2)) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) |
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(/ 1 (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) |
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(/ 1 (+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) |
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) cosTheta) |
(/.f32 (+.f32 cosTheta (+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) cosTheta))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))))))) cosTheta) |
(/.f32 (+.f32 cosTheta (+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 (*.f32 cosTheta #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) cosTheta) |
(+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) |
(+ 1 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) |
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(+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))) |
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(+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) |
(+ 1 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))) |
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) |
(+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))))) |
(+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (/.f32 (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) |
(+ 1 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))) |
(+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (/.f32 (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/16 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))))) |
(* cosTheta (sqrt (PI))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI))))) |
(*.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (* cosTheta (+ (PI) (* -4 (PI)))) (sqrt (/ 1 (PI))))))))) |
(*.f32 cosTheta (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 #s(literal -3 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) 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 cosTheta (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (*.f32 #s(literal -3 binary32) (PI.f32)) (*.f32 cosTheta (+.f32 (*.f32 (PI.f32) #s(literal -8 binary32)) (*.f32 #s(literal 3 binary32) (PI.f32)))))) cosTheta))))) |
(* (sqrt (* cosTheta (PI))) (sqrt -1/2)) |
(*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -1/2 binary32))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))) |
(*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -1/2 binary32)))) (*.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)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))) |
(*.f32 cosTheta (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))) (+.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 (PI.f32) 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 cosTheta (+.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))) (+.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 (PI.f32) cosTheta)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (+.f32 (/.f32 (*.f32 #s(literal 1/64 binary32) (*.f32 cosTheta (PI.f32))) #s(literal -1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/16 binary32))))) (sqrt.f32 #s(literal -1/2 binary32))))) |
(* (sqrt (* cosTheta (PI))) (* (sqrt -1) (sqrt 1/2))) |
(*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (*.f32 (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))))))) |
(neg.f32 (*.f32 cosTheta (-.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 (PI.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)))))))) |
(neg.f32 (*.f32 cosTheta (-.f32 (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) (+.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))))) (*.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 (PI.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)))))))) |
(neg.f32 (*.f32 cosTheta (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal 1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (*.f32 (PI.f32) #s(literal 1/16 binary32)) (/.f32 (*.f32 (*.f32 #s(literal -1/64 binary32) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) (sqrt.f32 #s(literal 1/2 binary32))))) (*.f32 #s(literal -1/16 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal 1/2 binary32))))) (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 (PI.f32) cosTheta))))))) |
(/ 1 (PI)) |
(/.f32 #s(literal 1 binary32) (PI.f32)) |
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
(+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 cosTheta #s(literal -2 binary32)) (PI.f32))) |
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
(+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 cosTheta #s(literal -2 binary32)) (PI.f32))) |
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) |
(+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 cosTheta #s(literal -2 binary32)) (PI.f32))) |
(* -2 (/ cosTheta (PI))) |
(/.f32 (*.f32 cosTheta #s(literal -2 binary32)) (PI.f32)) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32)))) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32)))) |
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) |
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32)))) |
(* -2 (/ cosTheta (PI))) |
(/.f32 (*.f32 cosTheta #s(literal -2 binary32)) (PI.f32)) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta (PI.f32))))) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta (PI.f32))))) |
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI)))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta (PI.f32))))) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* cosTheta (PI)) |
(*.f32 cosTheta (PI.f32)) |
(* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) |
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta) |
(/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) |
(+ 1 (* -1 (sqrt (/ 1 (PI))))) |
(-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
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(+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
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(+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) |
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(* -1 (- (sqrt (/ 1 (PI))) 1)) |
(-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
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(+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
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(+ (* -1 (- (sqrt (/ 1 (PI))) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) |
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(* -1 (sqrt (PI))) |
(-.f32 #s(literal 0 binary32) (sqrt.f32 (PI.f32))) |
(+ (* -1 (sqrt (PI))) (* -1 (* cosTheta (sqrt (PI))))) |
(neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))) |
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(neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))) |
(+ (* -1 (sqrt (PI))) (* -1 (* cosTheta (sqrt (PI))))) |
(neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))) |
(* -1 (* cosTheta (sqrt (PI)))) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (PI)))))) |
(neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (PI)))))) |
(neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))) |
(* cosTheta (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (PI)))))) |
(neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))) |
(* -1 (* cosTheta (sqrt (PI)))) |
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) |
(* -1 (* cosTheta (+ (sqrt (PI)) (* (/ 1 cosTheta) (sqrt (PI)))))) |
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(* -1 (* cosTheta (+ (sqrt (PI)) (* (/ 1 cosTheta) (sqrt (PI)))))) |
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(* -1 (* cosTheta (+ (sqrt (PI)) (* (/ 1 cosTheta) (sqrt (PI)))))) |
(neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))) |
(sqrt (/ 1 (PI))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) |
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(*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) |
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta))))) |
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) |
(+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta))))) |
(* (sqrt (/ cosTheta (PI))) (sqrt -2)) |
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) |
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) |
(*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32)))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))) |
(*.f32 cosTheta (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))))) (/.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))))) |
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))) |
(*.f32 cosTheta (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))))) (+.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (/.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))))) |
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) |
(*.f32 (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal -1 binary32))) |
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal 2 binary32))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))) |
(*.f32 (neg.f32 cosTheta) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))))))) |
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))) |
(neg.f32 (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 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 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) |
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta) |
(/.f32 (+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3/2 binary32) 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 (+.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 (*.f32 cosTheta #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta) |
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))) |
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) |
(+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))) |
(+.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))) (/.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) |
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) |
(neg.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))) |
(-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))) |
(+.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (/.f32 (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) |
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))) |
(+.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 cosTheta cosTheta))) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))) (+.f32 (/.f32 (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/8 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1/16 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (exp.f32 (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))))) |
Compiled 39 383 to 5 882 computations (85.1% saved)
56 alts after pruning (52 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 502 | 23 | 1 525 |
| Fresh | 14 | 29 | 43 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 519 | 56 | 1 575 |
| Status | Accuracy | Program |
|---|---|---|
| 59.6% | (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 2 binary32)) #s(literal -1/2 binary32)) | |
| 59.3% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)))))) c) | |
| 93.6% | (/.f32 (*.f32 (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32)))))) cosTheta) (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32))))) | |
| 2.6% | (/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) c) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) | |
| 5.0% | (/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) | |
| 92.5% | (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) | |
| 95.8% | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))) | |
| 95.9% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c)) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) #s(literal 1 binary32)) c)) | |
| 57.2% | (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) #s(literal 1 binary32))) | |
| 96.2% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal -1 binary32) (neg.f32 cosTheta))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) | |
| 95.9% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))))) cosTheta))) | |
| 95.8% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) cosTheta)))) cosTheta))) | |
| 95.8% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) | |
| 95.8% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) | |
| 95.8% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (*.f32 (+.f32 cosTheta #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) | |
| 95.4% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) | |
| 95.9% | (/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) | |
| 98.0% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))) | |
| 95.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32))) cosTheta))) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) | |
| 98.1% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) | |
| 92.3% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) | |
| ✓ | 98.5% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 95.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) | |
| 54.1% | (/.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))) | |
| 57.1% | (/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 #s(literal -1 binary32) (/.f32 cosTheta c)))) cosTheta))))) | |
| 57.2% | (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (neg.f32 c)) #s(literal -1 binary32))))) | |
| ✓ | 4.9% | (/.f32 #s(literal 1 binary32) c) |
| 96.4% | (+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) | |
| 10.6% | (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) | |
| 10.5% | (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) | |
| 61.0% | (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) | |
| 10.6% | (*.f32 (*.f32 c (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32))) | |
| 10.6% | (*.f32 (*.f32 c cosTheta) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) | |
| 93.2% | (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32)))) (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32))))))))) | |
| 96.4% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) | |
| ✓ | 93.1% | (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
| 96.3% | (*.f32 cosTheta (*.f32 cosTheta (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) | |
| 95.8% | (*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)))))) | |
| 92.7% | (*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (PI.f32))))) | |
| 93.1% | (*.f32 cosTheta (sqrt.f32 (PI.f32))) | |
| 5.0% | (*.f32 c (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) | |
| 2.5% | (*.f32 c (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) | |
| 2.7% | (*.f32 c (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) | |
| 2.7% | (*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))))) | |
| 5.0% | (*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) | |
| 93.0% | (*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) | |
| 2.6% | (*.f32 c (*.f32 (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) | |
| 2.6% | (*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))))) (neg.f32 (PI.f32)))) | |
| 4.3% | (*.f32 c (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) | |
| 10.6% | (*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) | |
| ✓ | 10.6% | (*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
| 10.5% | (*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) | |
| 90.3% | (exp.f32 (*.f32 (log1p.f32 (+.f32 c (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal -1 binary32))) |
Compiled 3 224 to 1 208 computations (62.5% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 c (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
(*.f32 (*.f32 c cosTheta) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(*.f32 c (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 c (*.f32 (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))))) (neg.f32 (PI.f32)))) |
(*.f32 c (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(*.f32 c (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) c) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))))) |
(*.f32 c (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (neg.f32 c)) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32))) (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (*.f32 (+.f32 cosTheta #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) cosTheta)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 (*.f32 (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32)))))) cosTheta) (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 #s(literal -1 binary32) (/.f32 cosTheta c)))) cosTheta))))) |
(*.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32)))) (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal -1 binary32) (neg.f32 cosTheta))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 cosTheta (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (/.f32 #s(literal 1 binary32) cosTheta)) (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)))) cosTheta))) |
(*.f32 cosTheta (*.f32 cosTheta (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta) (*.f32 (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) #s(literal 1 binary32)) c)) |
(*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (sqrt.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) cosTheta)))) (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) (neg.f32 c))) (neg.f32 c))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)))))) c) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)))))) (/.f32 #s(literal 1 binary32) c)) |
(pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 cosTheta)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (*.f32 (PI.f32) (log.f32 (E.f32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(exp.f32 (*.f32 (log1p.f32 (+.f32 c (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log1p.f32 (+.f32 c (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal -1 binary32))) |
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 2 binary32)) #s(literal -1/2 binary32)) |
(pow.f32 (pow.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(pow.f32 (*.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)) (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1/2 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 c c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (-.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (*.f32 cosTheta (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))) (pow.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) #s(literal 3 binary32)))) (+.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (*.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (-.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
6 calls:
| 68.0ms | (*.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))) |
| 50.0ms | c |
| 43.0ms | cosTheta |
| 30.0ms | (/.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))))) |
| 25.0ms | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 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 84 to 58 computations (31% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 c (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
(*.f32 (*.f32 c cosTheta) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(*.f32 c (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 c (*.f32 (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))))) (neg.f32 (PI.f32)))) |
(*.f32 c (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(*.f32 c (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) c) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))))) |
(*.f32 c (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (neg.f32 c)) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32))) (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (*.f32 (+.f32 cosTheta #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) cosTheta)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 (*.f32 (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32)))))) cosTheta) (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 #s(literal -1 binary32) (/.f32 cosTheta c)))) cosTheta))))) |
(*.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32)))) (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal -1 binary32) (neg.f32 cosTheta))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 cosTheta (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (/.f32 #s(literal 1 binary32) cosTheta)) (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)))) cosTheta))) |
(*.f32 cosTheta (*.f32 cosTheta (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta) (*.f32 (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) #s(literal 1 binary32)) c)) |
(*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (sqrt.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) cosTheta)))) (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) (neg.f32 c))) (neg.f32 c))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)))))) c) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)))))) (/.f32 #s(literal 1 binary32) c)) |
(pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 cosTheta)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (*.f32 (PI.f32) (log.f32 (E.f32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
6 calls:
| 35.0ms | (+.f32 #s(literal 1 binary32) c) |
| 29.0ms | cosTheta |
| 28.0ms | (*.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))) |
| 24.0ms | c |
| 24.0ms | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | cosTheta |
| 98.5% | 1 | c |
| 98.5% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
| 98.5% | 1 | (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 98.5% | 1 | (+.f32 #s(literal 1 binary32) c) |
| 98.5% | 1 | (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) |
Compiled 84 to 58 computations (31% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 c (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
(*.f32 (*.f32 c cosTheta) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(*.f32 c (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 c (*.f32 (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))))) (neg.f32 (PI.f32)))) |
(*.f32 c (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(*.f32 c (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) c) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))))) |
(*.f32 c (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (neg.f32 c)) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32))) (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (*.f32 (+.f32 cosTheta #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) cosTheta)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 (*.f32 (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32)))))) cosTheta) (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 #s(literal -1 binary32) (/.f32 cosTheta c)))) cosTheta))))) |
(*.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32)))) (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal -1 binary32) (neg.f32 cosTheta))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 cosTheta (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (/.f32 #s(literal 1 binary32) cosTheta)) (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)))) cosTheta))) |
(*.f32 cosTheta (*.f32 cosTheta (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta) (*.f32 (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (-.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))) cosTheta)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) #s(literal 1 binary32)) c)) |
(*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
3 calls:
| 36.0ms | (+.f32 #s(literal 1 binary32) c) |
| 27.0ms | cosTheta |
| 21.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | cosTheta |
| 98.1% | 1 | c |
| 98.1% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 c (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
(*.f32 (*.f32 c cosTheta) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(*.f32 c (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 c (*.f32 (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))))) (neg.f32 (PI.f32)))) |
(*.f32 c (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(*.f32 c (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) c) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))))) |
(*.f32 c (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (neg.f32 c)) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32))) (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (*.f32 (+.f32 cosTheta #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) cosTheta)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 (*.f32 (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32)))))) cosTheta) (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 #s(literal -1 binary32) (/.f32 cosTheta c)))) cosTheta))))) |
(*.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32)))) (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal -1 binary32) (neg.f32 cosTheta))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 cosTheta (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (/.f32 #s(literal 1 binary32) cosTheta)) (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)))) cosTheta))) |
(*.f32 cosTheta (*.f32 cosTheta (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
3 calls:
| 18.0ms | cosTheta |
| 17.0ms | c |
| 15.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | cosTheta |
| 98.1% | 1 | c |
| 98.1% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 c (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
(*.f32 (*.f32 c cosTheta) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(*.f32 c (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 c (*.f32 (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))))) (neg.f32 (PI.f32)))) |
(*.f32 c (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(*.f32 c (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) c) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))))) |
(*.f32 c (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (neg.f32 c)) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32))) (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (*.f32 (+.f32 cosTheta #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) cosTheta)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 (*.f32 (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32)))))) cosTheta) (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 #s(literal -1 binary32) (/.f32 cosTheta c)))) cosTheta))))) |
(*.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32)))) (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal -1 binary32) (neg.f32 cosTheta))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 cosTheta (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (/.f32 #s(literal 1 binary32) cosTheta)) (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)))) cosTheta))) |
(*.f32 cosTheta (*.f32 cosTheta (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))) |
3 calls:
| 53.0ms | cosTheta |
| 40.0ms | (+.f32 #s(literal 1 binary32) c) |
| 16.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 1 | cosTheta |
| 96.5% | 1 | c |
| 96.5% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 c (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
(*.f32 (*.f32 c cosTheta) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(*.f32 c (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 c (*.f32 (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))))) (neg.f32 (PI.f32)))) |
(*.f32 c (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(*.f32 c (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) c) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))))) |
(*.f32 c (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (neg.f32 c)) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32))) (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (*.f32 (+.f32 cosTheta #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) cosTheta)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 (*.f32 (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32)))))) cosTheta) (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 #s(literal -1 binary32) (/.f32 cosTheta c)))) cosTheta))))) |
(*.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32)))) (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal -1 binary32) (neg.f32 cosTheta))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 cosTheta (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (/.f32 #s(literal 1 binary32) cosTheta)) (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) |
| Outputs |
|---|
(+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) |
3 calls:
| 39.0ms | cosTheta |
| 30.0ms | (+.f32 #s(literal 1 binary32) c) |
| 15.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | cosTheta |
| 96.4% | 1 | c |
| 96.4% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 c (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
(*.f32 (*.f32 c cosTheta) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(*.f32 c (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 c (*.f32 (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))))) (neg.f32 (PI.f32)))) |
(*.f32 c (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(*.f32 c (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) c) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))))) |
(*.f32 c (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (neg.f32 c)) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32))) (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (*.f32 (+.f32 cosTheta #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) cosTheta)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 (*.f32 (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32)))))) cosTheta) (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 #s(literal -1 binary32) (/.f32 cosTheta c)))) cosTheta))))) |
(*.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32)))) (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal -1 binary32) (neg.f32 cosTheta))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 cosTheta (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (/.f32 #s(literal 1 binary32) cosTheta)) (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 cosTheta (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
3 calls:
| 16.0ms | cosTheta |
| 16.0ms | c |
| 13.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | cosTheta |
| 96.4% | 1 | c |
| 96.4% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 c (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
(*.f32 (*.f32 c cosTheta) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(*.f32 c (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 c (*.f32 (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))))) (neg.f32 (PI.f32)))) |
(*.f32 c (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(*.f32 c (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) c) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))))) |
(*.f32 c (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (neg.f32 c)) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32))) (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (*.f32 (+.f32 cosTheta #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) cosTheta)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 (*.f32 (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32)))))) cosTheta) (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 #s(literal -1 binary32) (/.f32 cosTheta c)))) cosTheta))))) |
(*.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32)))) (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32))))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal -1 binary32) (neg.f32 cosTheta))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal -1 binary32) (neg.f32 cosTheta))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
3 calls:
| 16.0ms | cosTheta |
| 14.0ms | (+.f32 #s(literal 1 binary32) c) |
| 14.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 1 | c |
| 96.2% | 1 | cosTheta |
| 96.2% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 c (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
(*.f32 (*.f32 c cosTheta) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(*.f32 c (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 c (*.f32 (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))))) (neg.f32 (PI.f32)))) |
(*.f32 c (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(*.f32 c (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) c) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))))) |
(*.f32 c (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 c (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) (neg.f32 c)) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32))) (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (*.f32 (+.f32 cosTheta #s(literal -1 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 #s(literal -1 binary32) cosTheta))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) cosTheta)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 (*.f32 (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32)))))) cosTheta) (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 #s(literal -1 binary32) (/.f32 cosTheta c)))) cosTheta))))) |
(*.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 c (*.f32 cosTheta (PI.f32)))) (-.f32 (PI.f32) (*.f32 (*.f32 cosTheta (PI.f32)) (*.f32 c (*.f32 c (*.f32 cosTheta (PI.f32))))))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))))) cosTheta))) |
3 calls:
| 47.0ms | cosTheta |
| 23.0ms | c |
| 11.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 1 | cosTheta |
| 95.9% | 1 | c |
| 95.9% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 c (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
(*.f32 (*.f32 c cosTheta) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(*.f32 c (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 c (*.f32 (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))))) (neg.f32 (PI.f32)))) |
(*.f32 c (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(*.f32 c (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) c) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))))) |
(*.f32 c (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c)) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c)) |
3 calls:
| 11.0ms | c |
| 11.0ms | cosTheta |
| 8.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 1 | cosTheta |
| 95.9% | 1 | c |
| 95.9% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 c (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
(*.f32 (*.f32 c cosTheta) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(*.f32 c (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 c (*.f32 (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))))) (neg.f32 (PI.f32)))) |
(*.f32 c (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(*.f32 c (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) c) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))))) |
(*.f32 c (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta))) cosTheta))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
3 calls:
| 10.0ms | c |
| 9.0ms | cosTheta |
| 7.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 1 | cosTheta |
| 95.8% | 1 | c |
| 95.8% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 c (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
(*.f32 (*.f32 c cosTheta) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(*.f32 c (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 c (*.f32 (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))))) (neg.f32 (PI.f32)))) |
(*.f32 c (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(*.f32 c (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) c) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))))) |
(*.f32 c (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
3 calls:
| 9.0ms | cosTheta |
| 8.0ms | c |
| 6.0ms | (+.f32 #s(literal 1 binary32) c) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 1 | cosTheta |
| 95.7% | 1 | c |
| 95.7% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 c (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
(*.f32 (*.f32 c cosTheta) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(*.f32 c (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 c (*.f32 (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))))) (neg.f32 (PI.f32)))) |
(*.f32 c (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(*.f32 c (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) c) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))))) |
(*.f32 c (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 cosTheta (*.f32 c (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (*.f32 cosTheta (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) |
(*.f32 c (-.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) c) (*.f32 cosTheta (*.f32 cosTheta (PI.f32))))) |
| Outputs |
|---|
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
3 calls:
| 38.0ms | cosTheta |
| 8.0ms | (+.f32 #s(literal 1 binary32) c) |
| 8.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.1% | 1 | cosTheta |
| 93.1% | 1 | c |
| 93.1% | 1 | (+.f32 #s(literal 1 binary32) c) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 c (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
(*.f32 (*.f32 c cosTheta) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(*.f32 c (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 c (*.f32 (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))))) (neg.f32 (PI.f32)))) |
(*.f32 c (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(*.f32 c (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) c) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))))) |
(*.f32 c (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) |
| Outputs |
|---|
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
2 calls:
| 9.0ms | c |
| 7.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.1% | 1 | c |
| 93.1% | 1 | cosTheta |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 c (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
(*.f32 (*.f32 c cosTheta) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta (PI.f32)) c)) cosTheta) |
(*.f32 c (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) c) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(*.f32 c (*.f32 (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))))) (neg.f32 (PI.f32)))) |
(*.f32 c (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(*.f32 c (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(/.f32 (*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) c) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(*.f32 c (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))))) |
(*.f32 c (/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 0 binary32) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
| Outputs |
|---|
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
2 calls:
| 7.0ms | cosTheta |
| 6.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.6% | 1 | cosTheta |
| 10.6% | 1 | c |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (*.f32 (neg.f32 (PI.f32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 c (*.f32 cosTheta cosTheta)) (neg.f32 (PI.f32))) |
(*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
| Outputs |
|---|
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
2 calls:
| 3.0ms | c |
| 3.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.6% | 1 | cosTheta |
| 10.6% | 1 | c |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) c) |
| Outputs |
|---|
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
2 calls:
| 3.0ms | c |
| 2.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.5% | 1 | cosTheta |
| 10.5% | 1 | c |
Compiled 6 to 4 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) c) |
2 calls:
| 1.0ms | c |
| 1.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.9% | 1 | cosTheta |
| 4.9% | 1 | c |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
| 784× | distribute-lft-neg-in_binary32 |
| 410× | neg-mul-1_binary32 |
| 386× | neg-sub0_binary32 |
| 336× | cancel-sign-sub_binary32 |
| 314× | sub-neg_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 282 |
| 1 | 201 | 281 |
| 2 | 259 | 281 |
| 3 | 378 | 281 |
| 4 | 610 | 281 |
| 5 | 930 | 281 |
| 6 | 1294 | 281 |
| 7 | 1683 | 281 |
| 8 | 1970 | 281 |
| 9 | 2146 | 281 |
| 10 | 2266 | 281 |
| 11 | 2332 | 281 |
| 12 | 2354 | 281 |
| 13 | 2357 | 281 |
| 14 | 2357 | 281 |
| 1× | saturated |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))) |
(+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 cosTheta (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal -1 binary32) (neg.f32 cosTheta))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(/.f32 #s(literal 1 binary32) c) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)) cosTheta))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal -1/2 binary32))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))) |
(+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))) |
(+.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (*.f32 cosTheta (-.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (+.f32 cosTheta #s(literal -1 binary32))))) (*.f32 cosTheta (+.f32 cosTheta (/.f32 (+.f32 cosTheta #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (*.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal -1 binary32) (neg.f32 cosTheta))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (+.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (+.f32 cosTheta #s(literal -1 binary32)))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta) c)) |
(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) c))) |
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 c (*.f32 (PI.f32) cosTheta)))) |
(*.f32 cosTheta (sqrt.f32 (PI.f32))) |
(*.f32 cosTheta (*.f32 c (-.f32 #s(literal 0 binary32) (*.f32 cosTheta (PI.f32))))) |
(*.f32 (neg.f32 cosTheta) (*.f32 c (*.f32 (PI.f32) cosTheta))) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (neg.f32 (PI.f32)))) |
(*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 c)) |
(*.f32 c (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) |
(*.f32 c (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) |
(/.f32 #s(literal 1 binary32) c) |
| 9 848× | accelerator-lowering-fma.f32 |
| 9 848× | accelerator-lowering-fma.f64 |
| 9 762× | accelerator-lowering-fma.f32 |
| 9 762× | accelerator-lowering-fma.f64 |
| 7 532× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 295 |
| 1 | 293 | 247 |
| 2 | 2471 | 244 |
| 0 | 9266 | 228 |
| 0 | 808 | 8973 |
| 1 | 2830 | 8419 |
| 0 | 8149 | 8162 |
| 0 | 678 | 7624 |
| 1 | 2060 | 7233 |
| 0 | 8082 | 6978 |
| 0 | 30 | 178 |
| 1 | 196 | 169 |
| 2 | 1738 | 165 |
| 0 | 8672 | 159 |
| 0 | 1141 | 12928 |
| 1 | 3662 | 12149 |
| 0 | 8563 | 11691 |
| 0 | 57 | 350 |
| 1 | 390 | 320 |
| 2 | 3909 | 315 |
| 0 | 9038 | 300 |
| 0 | 45 | 359 |
| 1 | 298 | 307 |
| 2 | 2448 | 307 |
| 0 | 8475 | 290 |
| 0 | 18 | 25 |
| 1 | 44 | 23 |
| 2 | 106 | 22 |
| 3 | 226 | 22 |
| 4 | 349 | 22 |
| 5 | 727 | 22 |
| 6 | 1873 | 22 |
| 7 | 2807 | 22 |
| 8 | 3448 | 22 |
| 9 | 4078 | 22 |
| 10 | 4244 | 22 |
| 11 | 4279 | 22 |
| 12 | 4312 | 22 |
| 13 | 4446 | 22 |
| 14 | 5067 | 22 |
| 15 | 5075 | 22 |
| 16 | 5079 | 22 |
| 17 | 5079 | 22 |
| 0 | 5079 | 21 |
| 0 | 1017 | 16376 |
| 1 | 3456 | 15711 |
| 0 | 8213 | 15162 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 819 to 504 computations (38.5% saved)
Compiled 620 to 250 computations (59.7% saved)
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